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10135185021 = 34135337
BaseRepresentation
bin10010111000001101…
…01010011001111101
3222011100010202010000
421130012222121331
5131224101410041
64353412104513
7506105436243
oct113406523175
928140122100
1010135185021
114331058575
121b6a305139
13c56a00000
146c20b2793
153e4bb2bb6
hex25c1aa67d

10135185021 has 60 divisors (see below), whose sum is σ = 16450566132. Its totient is φ = 6218529408.

The previous prime is 10135185019. The next prime is 10135185059. The reversal of 10135185021 is 12058153101.

10135185021 is a `hidden beast` number, since 10 + 135 + 18 + 502 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9187222500 + 947962521 = 95850^2 + 30789^2 .

It is not a de Polignac number, because 10135185021 - 21 = 10135185019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135185091) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30074565 + ... + 30074901.

Almost surely, 210135185021 is an apocalyptic number.

It is an amenable number.

10135185021 is a deficient number, since it is larger than the sum of its proper divisors (6315381111).

10135185021 is an frugal number, since it uses more digits than its factorization.

10135185021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 10135185021 in words is "ten billion, one hundred thirty-five million, one hundred eighty-five thousand, twenty-one".

Divisors: 1 3 9 13 27 39 81 117 169 337 351 507 1011 1053 1521 2197 3033 4381 4563 6591 9099 13143 13689 19773 27297 28561 39429 56953 59319 85683 118287 170859 177957 257049 354861 371293 512577 740389 771147 1113879 1537731 2221167 2313441 3341637 4613193 6663501 9625057 10024911 19990503 28875171 30074733 59971509 86625513 125125741 259876539 375377223 779629617 1126131669 3378395007 10135185021