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152010133821 = 327213191395523
BaseRepresentation
bin1000110110010010000…
…0101001000100111101
3112112100211212220002100
42031210200221010331
54442304043240241
6153455452415313
713660644550500
oct2154440510475
9475324786070
10152010133821
1159515837477
1225563a77539
1311446b64260
147500727137
153e4a2e49b6
hex236482913d

152010133821 has 72 divisors (see below), whose sum is σ = 289543319520. Its totient is φ = 75961053504.

The previous prime is 152010133787. The next prime is 152010133823. The reversal of 152010133821 is 128331010251.

152010133821 is a `hidden beast` number, since 1 + 520 + 1 + 0 + 133 + 8 + 2 + 1 = 666.

It is not a de Polignac number, because 152010133821 - 210 = 152010132797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152010133823) 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, 588835 + ... + 806688.

Almost surely, 2152010133821 is an apocalyptic number.

It is an amenable number.

152010133821 is a deficient number, since it is larger than the sum of its proper divisors (137533185699).

152010133821 is a wasteful number, since it uses less digits than its factorization.

152010133821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395575 (or 1395565 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 152010133821 in words is "one hundred fifty-two billion, ten million, one hundred thirty-three thousand, eight hundred twenty-one".

Divisors: 1 3 7 9 13 19 21 39 49 57 63 91 117 133 147 171 247 273 399 441 637 741 819 931 1197 1729 1911 2223 2793 5187 5733 8379 12103 15561 36309 108927 1395523 4186569 9768661 12559707 18141799 26514937 29305983 54425397 68380627 79544811 87917949 126992593 163276191 185604559 205141881 238634433 344694181 380977779 556813677 615425643 888948151 1034082543 1142933337 1299231913 1670441031 2412859267 2666844453 3102247629 3897695739 7238577801 8000533359 11693087217 16890014869 21715733403 50670044607 152010133821