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157112307 = 32118211933
BaseRepresentation
bin10010101110101…
…01011111110011
3101221122010120100
421113111133303
5310210043212
623331243443
73615301242
oct1127253763
9357563510
10157112307
118075a890
1244749583
132671c281
1416c1a959
15dbd6bdc
hex95d57f3

157112307 has 24 divisors (see below), whose sum is σ = 248000688. Its totient is φ = 95054400.

The previous prime is 157112303. The next prime is 157112327. The reversal of 157112307 is 703211751.

It is a happy number.

It is not a de Polignac number, because 157112307 - 22 = 157112303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (157112303) 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, 80313 + ... + 82245.

It is an arithmetic number, because the mean of its divisors is an integer number (10333362).

Almost surely, 2157112307 is an apocalyptic number.

157112307 is a deficient number, since it is larger than the sum of its proper divisors (90888381).

157112307 is a wasteful number, since it uses less digits than its factorization.

157112307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 157112307 is about 12534.4448221690. Note that the first 3 decimals coincide. The cubic root of 157112307 is about 539.5976735726.

The spelling of 157112307 in words is "one hundred fifty-seven million, one hundred twelve thousand, three hundred seven".

Divisors: 1 3 9 11 33 99 821 1933 2463 5799 7389 9031 17397 21263 27093 63789 81279 191367 1586993 4760979 14282937 17456923 52370769 157112307