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152112105 = 32529229509
BaseRepresentation
bin10010001000100…
…00101111101001
3101121020002120200
421010100233221
5302420041410
623032142413
73524634345
oct1104205751
9347202520
10152112105
1178955092
1242b37a09
132568b382
14162b8625
15d54a3c0
hex9110be9

152112105 has 48 divisors (see below), whose sum is σ = 274482000. Its totient is φ = 77833728.

The previous prime is 152112097. The next prime is 152112109. The reversal of 152112105 is 501211251.

It can be written as a sum of positive squares in 8 ways, for example, as 19954089 + 132158016 = 4467^2 + 11496^2 .

It is not a de Polignac number, because 152112105 - 23 = 152112097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152112109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298591 + ... + 299099.

It is an arithmetic number, because the mean of its divisors is an integer number (5718375).

Almost surely, 2152112105 is an apocalyptic number.

152112105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152112105 is a deficient number, since it is larger than the sum of its proper divisors (122369895).

152112105 is a wasteful number, since it uses less digits than its factorization.

152112105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 775 counting only the distinct ones).

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

The square root of 152112105 is about 12333.3736260603. The cubic root of 152112105 is about 533.8114997684.

Adding to 152112105 its reverse (501211251), we get a palindrome (653323356).

The spelling of 152112105 in words is "one hundred fifty-two million, one hundred twelve thousand, one hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 229 261 435 509 687 1145 1305 1527 2061 2545 3435 4581 6641 7635 10305 14761 19923 22905 33205 44283 59769 73805 99615 116561 132849 221415 298845 349683 582805 664245 1049049 1748415 3380269 5245245 10140807 16901345 30422421 50704035 152112105