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20105451135 = 32571118313169
BaseRepresentation
bin10010101110011000…
…001101011001111111
31220220011221202000100
4102232120031121333
5312133443414020
613123013332143
71311142341420
oct225630153177
956804852010
1020105451135
118588004020
123a91337053
131b854a9663
14d8a2d5647
157ca14aa90
hex4ae60d67f

20105451135 has 96 divisors (see below), whose sum is σ = 43486110720. Its totient is φ = 8348313600.

The previous prime is 20105451101. The next prime is 20105451139. The reversal of 20105451135 is 53115450102.

20105451135 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 545 + 113 + 5 = 666.

It is not a de Polignac number, because 20105451135 - 26 = 20105451071 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20105451099 and 20105451108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20105451139) 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, 6342831 + ... + 6345999.

It is an arithmetic number, because the mean of its divisors is an integer number (452980320).

Almost surely, 220105451135 is an apocalyptic number.

20105451135 is an abundant number, since it is smaller than the sum of its proper divisors (23380659585).

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

20105451135 is a wasteful number, since it uses less digits than its factorization.

20105451135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5029 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 20105451135 in words is "twenty billion, one hundred five million, four hundred fifty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 1831 3169 3465 5493 9155 9507 12817 15845 16479 20141 22183 27465 28521 34859 38451 47535 60423 64085 66549 82395 100705 104577 110915 115353 140987 142605 174295 181269 192255 199647 244013 302115 313731 332745 422961 522885 576765 704935 732039 906345 998235 1220065 1268883 1568655 2114805 2196117 3660195 5802439 6344415 10980585 17407317 29012195 40617073 52221951 63826829 87036585 121851219 191480487 203085365 261109755 319134145 365553657 446787803 574441461 609256095 957402435 1340363409 1827768285 2233939015 2872207305 4021090227 6701817045 20105451135