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100213631434 = 27591032275189
BaseRepresentation
bin101110101010100110…
…0101010100111001010
3100120200001121221111001
41131111030222213022
53120214142201214
6114012033525214
710145246545450
oct1352514524712
9316601557431
10100213631434
1139555a89604
121750941380a
1395b0b5a487
144bc95909d0
152917d87c74
hex175532a9ca

100213631434 has 64 divisors (see below), whose sum is σ = 177214003200. Its totient is φ = 41618634048.

The previous prime is 100213631429. The next prime is 100213631461. The reversal of 100213631434 is 434136312001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19310112 + ... + 19315300.

It is an arithmetic number, because the mean of its divisors is an integer number (2768968800).

Almost surely, 2100213631434 is an apocalyptic number.

100213631434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100213631434 is a deficient number, since it is larger than the sum of its proper divisors (77000371766).

100213631434 is a wasteful number, since it uses less digits than its factorization.

100213631434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5587.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 100213631434 its reverse (434136312001), we get a palindrome (534349943435).

The spelling of 100213631434 in words is "one hundred billion, two hundred thirteen million, six hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 7 14 59 103 118 206 227 413 454 721 826 1442 1589 3178 5189 6077 10378 12154 13393 23381 26786 36323 42539 46762 72646 85078 93751 163667 187502 306151 327334 534467 612302 1068934 1177903 1379479 2143057 2355806 2758958 3741269 4286114 7482538 8245321 9656353 16490642 19312706 31533553 63067106 69496277 121324009 138992554 220734871 242648018 441469742 486473939 849268063 972947878 1698536126 7158116531 14316233062 50106815717 100213631434