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100102313003 = 72112371273593
BaseRepresentation
bin101110100111010010…
…0000001010000101011
3100120101022011101022012
41131032210001100223
53120002143004003
6113553015550135
710142425423100
oct1351644012053
9316338141265
10100102313003
11394a9167400
121749808b34b
139593a82c94
144bb8894aa7
15290d1e98d8
hex174e90142b

100102313003 has 72 divisors (see below), whose sum is σ = 132525098496. Its totient is φ = 75275101440.

The previous prime is 100102312957. The next prime is 100102313023. The reversal of 100102313003 is 300313201001.

It is not a de Polignac number, because 100102313003 - 28 = 100102312747 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100102313023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27858575 + ... + 27862167.

It is an arithmetic number, because the mean of its divisors is an integer number (1840626368).

Almost surely, 2100102313003 is an apocalyptic number.

100102313003 is a deficient number, since it is larger than the sum of its proper divisors (32422785493).

100102313003 is a wasteful number, since it uses less digits than its factorization.

100102313003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3793 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100102313003 its reverse (300313201001), we get a palindrome (400415514004).

The spelling of 100102313003 in words is "one hundred billion, one hundred two million, three hundred thirteen thousand, three".

Divisors: 1 7 11 37 49 77 121 127 259 407 539 847 889 1397 1813 2849 3593 4477 4699 5929 6223 9779 15367 19943 25151 31339 32893 39523 51689 68453 107569 132941 176057 219373 230251 276661 361823 434753 456311 568579 752983 930587 1462351 1936627 2532761 3043271 3194177 3980053 5019421 6514109 10236457 16085861 16883507 21302897 22359239 27860371 35135947 55213631 71655199 112601027 118184549 185718577 245951629 386495417 788207189 827291843 1300030039 2042904347 2705467919 9100210273 14300330429 100102313003