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13322110000230 = 234567997246217
BaseRepresentation
bin1100000111011100101110…
…1000100101110001100110
31202011120200202021221110000
43001313023220211301212
53221232140130001410
644200032015442130
72543330206415103
oct301671350456146
952146622257400
1013322110000230
114276969874459
1215b1ab7826346
137583673714a5
14340b1777daaa
15181812e51dc0
hexc1dcba25c66

13322110000230 has 160 divisors (see below), whose sum is σ = 36392938930656. Its totient is φ = 3496015074816.

The previous prime is 13322110000139. The next prime is 13322110000271. The reversal of 13322110000230 is 3200001122331.

13322110000230 is a `hidden beast` number, since 1 + 3 + 322 + 110 + 0 + 0 + 0 + 230 = 666.

13322110000230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133221100002302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53984082 + ... + 54230298.

Almost surely, 213322110000230 is an apocalyptic number.

13322110000230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13322110000230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18196469465328).

13322110000230 is an abundant number, since it is smaller than the sum of its proper divisors (23070828930426).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13322110000230 is a wasteful number, since it uses less digits than its factorization.

13322110000230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247300 (or 247291 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13322110000230 its reverse (3200001122331), we get a palindrome (16522111122561).

The spelling of 13322110000230 in words is "thirteen trillion, three hundred twenty-two billion, one hundred ten million, two hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 81 90 134 135 162 201 270 335 402 405 603 670 810 997 1005 1206 1809 1994 2010 2991 3015 3618 4985 5427 5982 6030 8973 9045 9970 10854 14955 17946 18090 26919 27135 29910 44865 53838 54270 66799 80757 89730 133598 134595 161514 200397 246217 269190 333995 400794 403785 492434 601191 667990 738651 807570 1001985 1202382 1231085 1477302 1803573 2003970 2215953 2462170 3005955 3607146 3693255 4431906 5410719 6011910 6647859 7386510 9017865 10821438 11079765 13295718 16496539 18035730 19943577 22159530 27053595 32993078 33239295 39887154 49489617 54107190 66478590 82482695 98979234 99717885 148468851 164965390 199435770 245478349 247448085 296937702 445406553 490956698 494896170 736435047 742344255 890813106 1227391745 1336219659 1472870094 1484688510 2209305141 2227032765 2454783490 2672439318 3682175235 4418610282 4454065530 6627915423 6681098295 7364350470 11046525705 13255830846 13362196590 16447049383 19883746269 22093051410 32894098766 33139577115 39767492538 49341148149 66279154230 82235246915 98682296298 99418731345 148023444447 164470493830 198837462690 246705740745 296046888894 444070333341 493411481490 740117222235 888140666682 1332211000023 1480234444470 2220351666705 2664422000046 4440703333410 6661055000115 13322110000230