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10000611981 = 32171929313379
BaseRepresentation
bin10010101000001010…
…10011101010001101
3221210221220201121100
421110011103222031
5130440124040411
64332203453313
7502552541103
oct112405235215
927727821540
1010000611981
1142720a2888
121b31227239
13c34b72ba9
146ac281c73
153d7e7e456
hex254153a8d

10000611981 has 96 divisors (see below), whose sum is σ = 16752528000. Its totient is φ = 5706215424.

The previous prime is 10000611961. The next prime is 10000612001. The reversal of 10000611981 is 18911600001.

It is an interprime number because it is at equal distance from previous prime (10000611961) and next prime (10000612001).

It is not a de Polignac number, because 10000611981 - 210 = 10000610957 is a prime.

It is a super-2 number, since 2×100006119812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000611961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26386650 + ... + 26387028.

It is an arithmetic number, because the mean of its divisors is an integer number (174505500).

Almost surely, 210000611981 is an apocalyptic number.

It is an amenable number.

10000611981 is a deficient number, since it is larger than the sum of its proper divisors (6751916019).

10000611981 is a wasteful number, since it uses less digits than its factorization.

10000611981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 10000611981 in words is "ten billion, six hundred eleven thousand, nine hundred eighty-one".

Divisors: 1 3 9 17 19 29 51 57 87 153 171 261 313 323 379 493 551 939 969 1137 1479 1653 2817 2907 3411 4437 4959 5321 5947 6443 7201 9077 9367 10991 15963 17841 19329 21603 27231 28101 32973 47889 53523 57987 64809 81693 84303 98919 101099 118627 122417 154309 172463 186847 208829 303297 355881 367251 462927 517389 560541 626487 909891 1067643 1101753 1388781 1552167 1681623 1879461 2016659 2253913 2931871 3440183 3550093 6049977 6761739 8795613 10320549 10650279 18149931 20285217 26386839 30961647 31950837 38316521 58483111 65363477 114949563 175449333 196090431 344848689 526347999 588271293 1111179109 3333537327 10000611981