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152113212 = 2232171991249
BaseRepresentation
bin10010001000100…
…01000000111100
3101121020011002200
421010101000330
5302420110322
623032151500
73524640516
oct1104210074
9347204080
10152113212
11789559a9
1242b38590
132568ba24
14162b8bb6
15d54a8ac
hex911103c

152113212 has 72 divisors (see below), whose sum is σ = 409500000. Its totient is φ = 47443968.

The previous prime is 152113211. The next prime is 152113219. The reversal of 152113212 is 212311251.

152113212 is a `hidden beast` number, since 1 + 521 + 132 + 12 = 666.

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 (152113211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121164 + ... + 122412.

It is an arithmetic number, because the mean of its divisors is an integer number (5687500).

Almost surely, 2152113212 is an apocalyptic number.

152113212 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 152113212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204750000).

152113212 is an abundant number, since it is smaller than the sum of its proper divisors (257386788).

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

152113212 is a wasteful number, since it uses less digits than its factorization.

152113212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1470 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 152113212 is about 12333.4185042104. The cubic root of 152113212 is about 533.8127947079.

Adding to 152113212 its reverse (212311251), we get a palindrome (364424463).

The spelling of 152113212 in words is "one hundred fifty-two million, one hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 199 204 306 398 597 612 796 1194 1249 1791 2388 2498 3383 3582 3747 4996 6766 7164 7494 10149 11241 13532 14988 20298 21233 22482 30447 40596 42466 44964 60894 63699 84932 121788 127398 191097 248551 254796 382194 497102 745653 764388 994204 1491306 2236959 2982612 4225367 4473918 8450734 8947836 12676101 16901468 25352202 38028303 50704404 76056606 152113212