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102182263161 = 31141191395407
BaseRepresentation
bin101111100101010001…
…0011001100101111001
3100202202020221210112020
41133022202121211321
53133232124410121
6114535240305053
710245112622526
oct1371242314571
9322666853466
10102182263161
113a376250780
1217978772189
139835970b14
144d34c0214d
1529d0b011c6
hex17ca899979

102182263161 has 32 divisors (see below), whose sum is σ = 153051365376. Its totient is φ = 60101712000.

The previous prime is 102182263133. The next prime is 102182263177. The reversal of 102182263161 is 161362281201.

It is not a de Polignac number, because 102182263161 - 29 = 102182262649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102182263111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60720 + ... + 456126.

It is an arithmetic number, because the mean of its divisors is an integer number (4782855168).

Almost surely, 2102182263161 is an apocalyptic number.

102182263161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102182263161 is a deficient number, since it is larger than the sum of its proper divisors (50869102215).

102182263161 is a wasteful number, since it uses less digits than its factorization.

102182263161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395653.

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 102182263161 in words is "one hundred two billion, one hundred eighty-two million, two hundred sixty-three thousand, one hundred sixty-one".

Divisors: 1 3 11 33 41 123 191 451 573 1353 2101 6303 7831 23493 86141 258423 395407 1186221 4349477 13048431 16211687 48635061 75522737 178328557 226568211 534985671 830750107 2492250321 3096432217 9289296651 34060754387 102182263161