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1013326002300 = 22352171271564499
BaseRepresentation
bin11101011111011101110…
…11111011100001111100
310120212120102122111000210
432233232323323201330
5113100242424033200
62053303204552420
7133132106621463
oct16575673734174
93525512574023
101013326002300
11360827124737
121444809b2710
13747300707c1
143708c1d39da
151b55b611650
hexebeeefb87c

1013326002300 has 144 divisors (see below), whose sum is σ = 3128799744000. Its totient is φ = 252322237440.

The previous prime is 1013326002263. The next prime is 1013326002349. The reversal of 1013326002300 is 32006233101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134550 + ... + 1429949.

It is an arithmetic number, because the mean of its divisors is an integer number (21727776000).

Almost surely, 21013326002300 is an apocalyptic number.

1013326002300 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 1013326002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564399872000).

1013326002300 is an abundant number, since it is smaller than the sum of its proper divisors (2115473741700).

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

1013326002300 is a wasteful number, since it uses less digits than its factorization.

1013326002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564660 (or 1564653 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The spelling of 1013326002300 in words is "one trillion, thirteen billion, three hundred twenty-six million, two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 127 150 170 204 254 255 300 340 381 425 508 510 635 762 850 1020 1270 1275 1524 1700 1905 2159 2540 2550 3175 3810 4318 5100 6350 6477 7620 8636 9525 10795 12700 12954 19050 21590 25908 32385 38100 43180 53975 64770 107950 129540 161925 215900 323850 647700 1564499 3128998 4693497 6257996 7822495 9386994 15644990 18773988 23467485 26596483 31289980 39112475 46934970 53192966 78224950 79789449 93869940 106385932 117337425 132982415 156449900 159578898 198691373 234674850 265964830 319157796 397382746 398947245 469349700 531929660 596074119 664912075 794765492 797894490 993456865 1192148238 1329824150 1595788980 1986913730 1994736225 2384296476 2659648300 2980370595 3377753341 3973827460 3989472450 4967284325 5960741190 6755506682 7978944900 9934568650 10133260023 11921482380 13511013364 14901852975 16888766705 19869137300 20266520046 29803705950 33777533410 40533040092 50666300115 59607411900 67555066820 84443833525 101332600230 168887667050 202665200460 253331500575 337775334100 506663001150 1013326002300