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101182122 = 2342832207
BaseRepresentation
bin1100000011111…
…10101010101010
321001101120210000
412001332222222
5201400311442
614012403430
72336014416
oct601765252
9231346700
10101182122
1152129698
1229a76576
1317c688a2
14d61bd46
158d39d4c
hex607eaaa

101182122 has 40 divisors (see below), whose sum is σ = 227627136. Its totient is φ = 33592968.

The previous prime is 101182111. The next prime is 101182157. The reversal of 101182122 is 221281101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101182095 and 101182104.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44743 + ... + 46949.

Almost surely, 2101182122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101182122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113813568).

101182122 is an abundant number, since it is smaller than the sum of its proper divisors (126445014).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101182122 is a wasteful number, since it uses less digits than its factorization.

101182122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 101182122 is about 10058.9324483267. The cubic root of 101182122 is about 465.9806981758.

The spelling of 101182122 in words is "one hundred one million, one hundred eighty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 283 566 849 1698 2207 2547 4414 5094 6621 7641 13242 15282 19863 22923 39726 45846 59589 119178 178767 357534 624581 1249162 1873743 3747486 5621229 11242458 16863687 33727374 50591061 101182122