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13301210211320 = 23529109197533999
BaseRepresentation
bin1100000110001110110111…
…1010001110001111111000
31202002120202012122122212002
43001203231322032033320
53220411334303230240
644142254104440132
72541660250221653
oct301435572161770
952076665578762
1013301210211320
114269014447739
1215a9a44479048
137563b64452a5
1433dad3b9489a
15180edd1ebd15
hexc18ede8e3f8

13301210211320 has 128 divisors (see below), whose sum is σ = 31402404000000. Its totient is φ = 5064044009472.

The previous prime is 13301210211319. The next prime is 13301210211329. The reversal of 13301210211320 is 2311201210331.

It is a happy number.

It is a super-2 number, since 2×133012102113202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13301210211292 and 13301210211301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301210211329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24641681 + ... + 25175679.

It is an arithmetic number, because the mean of its divisors is an integer number (245331281250).

Almost surely, 213301210211320 is an apocalyptic number.

13301210211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13301210211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15701202000000).

13301210211320 is an abundant number, since it is smaller than the sum of its proper divisors (18101193788680).

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

13301210211320 is a wasteful number, since it uses less digits than its factorization.

13301210211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534345 (or 534341 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13301210211320 its reverse (2311201210331), we get a palindrome (15612411421651).

The spelling of 13301210211320 in words is "thirteen trillion, three hundred one billion, two hundred ten million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 109 116 145 197 218 232 290 394 436 545 580 788 872 985 1090 1160 1576 1970 2180 3161 3940 4360 5713 6322 7880 11426 12644 15805 21473 22852 25288 28565 31610 42946 45704 57130 63220 85892 107365 114260 126440 171784 214730 228520 429460 533999 622717 858920 1067998 1245434 2135996 2490868 2669995 3113585 4271992 4981736 5339990 6227170 10679980 12454340 15485971 21359960 24908680 30971942 58205891 61943884 77429855 105197803 116411782 123887768 154859710 210395606 232823564 291029455 309719420 420791212 465647128 525989015 582058910 619438840 841582424 1051978030 1164117820 1687970839 2103956060 2328235640 3050736287 3375941678 4207912120 6101472574 6751883356 8439854195 11466560527 12202945148 13503766712 15253681435 16879708390 22933121054 24405890296 30507362870 33759416780 45866242108 57332802635 61014725740 67518833560 91732484216 114665605270 122029451480 229331210540 332530255283 458662421080 665060510566 1330121021132 1662651276415 2660242042264 3325302552830 6650605105660 13301210211320