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151112052 = 2232713193239
BaseRepresentation
bin10010000000111…
…00100101110100
3101112100021202200
421000130211310
5302141041202
622554504500
73513300630
oct1100344564
9345307680
10151112052
11783317a3
1242735130
13253cb120
14160d7dc0
15d3ede1c
hex901c974

151112052 has 144 divisors (see below), whose sum is σ = 474539520. Its totient is φ = 39481344.

The previous prime is 151112023. The next prime is 151112053. The reversal of 151112052 is 250211151.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151112053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632149 + ... + 632387.

Almost surely, 2151112052 is an apocalyptic number.

151112052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151112052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237269760).

151112052 is an abundant number, since it is smaller than the sum of its proper divisors (323427468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151112052 is a wasteful number, since it uses less digits than its factorization.

151112052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 151112052 is about 12292.7642131459. The cubic root of 151112052 is about 532.6390881796.

Subtracting 151112052 from its reverse (250211151), we obtain a palindrome (99099099).

The spelling of 151112052 in words is "one hundred fifty-one million, one hundred twelve thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 193 234 239 252 273 364 386 468 478 546 579 717 772 819 956 1092 1158 1351 1434 1638 1673 1737 2151 2316 2509 2702 2868 3107 3276 3346 3474 4053 4302 5018 5019 5404 6214 6692 6948 7527 8106 8604 9321 10036 10038 12159 12428 15054 15057 16212 17563 18642 20076 21749 22581 24318 27963 30108 30114 35126 37284 43498 45162 46127 48636 52689 55926 60228 65247 70252 86996 90324 92254 105378 111852 130494 138381 158067 184508 195741 210756 260988 276762 316134 322889 391482 415143 553524 599651 632268 645778 782964 830286 968667 1199302 1291556 1660572 1798953 1937334 2398604 2906001 3597906 3874668 4197557 5396859 5812002 7195812 8395114 10793718 11624004 12592671 16790228 21587436 25185342 37778013 50370684 75556026 151112052