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157122093 = 31132691723
BaseRepresentation
bin10010101110101…
…11111000101101
3101221122121222210
421113113320231
5310210401333
623331401033
73615341622
oct1127277055
9357577883
10157122093
1180767177
1244753179
132672386b
1416c20349
15dbd9a63
hex95d7e2d

157122093 has 16 divisors (see below), whose sum is σ = 212258880. Its totient is φ = 103375104.

The previous prime is 157122079. The next prime is 157122107. The reversal of 157122093 is 390221751.

It is an interprime number because it is at equal distance from previous prime (157122079) and next prime (157122107).

It is not a de Polignac number, because 157122093 - 29 = 157121581 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 157122093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157122023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90330 + ... + 92052.

It is an arithmetic number, because the mean of its divisors is an integer number (13266180).

Almost surely, 2157122093 is an apocalyptic number.

It is an amenable number.

157122093 is a deficient number, since it is larger than the sum of its proper divisors (55136787).

157122093 is a wasteful number, since it uses less digits than its factorization.

157122093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 157122093 is about 12534.8351804082. The cubic root of 157122093 is about 539.6088765846.

The spelling of 157122093 in words is "one hundred fifty-seven million, one hundred twenty-two thousand, ninety-three".

Divisors: 1 3 113 269 339 807 1723 5169 30397 91191 194699 463487 584097 1390461 52374031 157122093