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165561220341 = 321119227387743
BaseRepresentation
bin1001101000110000110…
…1111011110011110101
3120211100020122102010200
42122030031323303311
510203032133022331
6204020251311113
714650522103406
oct2321415736365
9524306572120
10165561220341
1164239aa1330
122810614b499
13127c6466b4a
1480283459ad
15448ed015e6
hex268c37bcf5

165561220341 has 48 divisors (see below), whose sum is σ = 275825571840. Its totient is φ = 94640067360.

The previous prime is 165561220339. The next prime is 165561220343. The reversal of 165561220341 is 143022165561.

165561220341 is a `hidden beast` number, since 1 + 6 + 5 + 5 + 612 + 2 + 0 + 34 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (165561220339) and next prime (165561220343).

It is not a de Polignac number, because 165561220341 - 21 = 165561220339 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 165561220296 and 165561220305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165561220343) 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, 233116 + ... + 620858.

It is an arithmetic number, because the mean of its divisors is an integer number (5746366080).

Almost surely, 2165561220341 is an apocalyptic number.

165561220341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

165561220341 is a deficient number, since it is larger than the sum of its proper divisors (110264351499).

165561220341 is a wasteful number, since it uses less digits than its factorization.

165561220341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388006 (or 388003 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 165561220341 in words is "one hundred sixty-five billion, five hundred sixty-one million, two hundred twenty thousand, three hundred forty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 227 627 681 1881 2043 2497 4313 7491 12939 22473 38817 47443 142329 387743 426987 1163229 3489687 4265173 7367117 12795519 22101351 38386557 66304053 81038287 88017661 243114861 264052983 729344583 792158949 968194271 1672335559 2904582813 5017006677 8713748439 15051020031 18395691149 55187073447 165561220341