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1157107221 = 33291477787
BaseRepresentation
bin100010011111000…
…0000111000010101
32222122022010201000
41010332000320111
54332204412341
6310452453513
740450151304
oct10476007025
92878263630
101157107221
1154417a866
1228361a299
1315595703a
14ad96643b
156b8b68b6
hex44f80e15

1157107221 has 16 divisors (see below), whose sum is σ = 1773345600. Its totient is φ = 744804144.

The previous prime is 1157107153. The next prime is 1157107243. The reversal of 1157107221 is 1227017511.

1157107221 is a `hidden beast` number, since 1 + 1 + 571 + 0 + 72 + 21 = 666.

It is not a de Polignac number, because 1157107221 - 215 = 1157074453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157107421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 738111 + ... + 739676.

It is an arithmetic number, because the mean of its divisors is an integer number (110834100).

Almost surely, 21157107221 is an apocalyptic number.

It is an amenable number.

1157107221 is a deficient number, since it is larger than the sum of its proper divisors (616238379).

1157107221 is a wasteful number, since it uses less digits than its factorization.

1157107221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477825 (or 1477819 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

The square root of 1157107221 is about 34016.2787647326. The cubic root of 1157107221 is about 1049.8434297155.

The spelling of 1157107221 in words is "one billion, one hundred fifty-seven million, one hundred seven thousand, two hundred twenty-one".

Divisors: 1 3 9 27 29 87 261 783 1477787 4433361 13300083 39900249 42855823 128567469 385702407 1157107221