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10106453331 = 3213279241349
BaseRepresentation
bin10010110100110010…
…00011110101010011
3222002100002000122100
421122121003311103
5131144223001311
64350504211443
7505306302342
oct113231036523
928070060570
1010106453331
114316913a77
121b60769b83
13c50a80400
146bc353b59
153e23d9a56
hex25a643d53

10106453331 has 72 divisors (see below), whose sum is σ = 16120104000. Its totient is φ = 6097628160.

The previous prime is 10106453327. The next prime is 10106453333. The reversal of 10106453331 is 13335460101.

10106453331 is a `hidden beast` number, since 1 + 0 + 10 + 645 + 3 + 3 + 3 + 1 = 666.

10106453331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10106453331 - 22 = 10106453327 is a prime.

It is a super-2 number, since 2×101064533312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10106453295 and 10106453304.

It is not an unprimeable number, because it can be changed into a prime (10106453333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28958145 + ... + 28958493.

Almost surely, 210106453331 is an apocalyptic number.

10106453331 is a deficient number, since it is larger than the sum of its proper divisors (6013650669).

10106453331 is a wasteful number, since it uses less digits than its factorization.

10106453331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 10106453331 in words is "ten billion, one hundred six million, four hundred fifty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 13 39 79 117 169 237 241 349 507 711 723 1027 1047 1521 2169 3081 3133 3141 4537 9243 9399 13351 13611 19039 27571 28197 40053 40729 40833 57117 58981 82713 84109 120159 122187 171351 176943 247507 248139 252327 358423 366561 530829 742521 756981 1075269 1093417 2227563 3217591 3225807 3280251 4659499 6644611 9652773 9840753 13978497 14214421 19933833 28958319 41935491 42643263 59801499 86379943 127929789 259139829 777419487 1122939259 3368817777 10106453331