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102277242 = 23767349
BaseRepresentation
bin1100001100010…
…10000001111010
321010110020000000
412012022001322
5202140332432
614052053430
72351225244
oct606120172
9233406000
10102277242
1152807451
122a304276
13182601a2
14d825094
158ea457c
hex618a07a

102277242 has 64 divisors (see below), whose sum is σ = 234192000. Its totient is φ = 33487344.

The previous prime is 102277237. The next prime is 102277303. The reversal of 102277242 is 242772201.

It is a super-2 number, since 2×1022772422 = 20921268462253128, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292884 + ... + 293232.

It is an arithmetic number, because the mean of its divisors is an integer number (3659250).

Almost surely, 2102277242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102277242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117096000).

102277242 is an abundant number, since it is smaller than the sum of its proper divisors (131914758).

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

102277242 is an frugal number, since it uses more digits than its factorization.

102277242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 102277242 is about 10113.2211485758. The cubic root of 102277242 is about 467.6558120197.

The spelling of 102277242 in words is "one hundred two million, two hundred seventy-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 67 81 134 162 201 243 349 402 486 603 698 729 1047 1206 1458 1809 2094 2187 3141 3618 4374 5427 6282 9423 10854 16281 18846 23383 28269 32562 46766 48843 56538 70149 84807 97686 140298 146529 169614 210447 254421 293058 420894 508842 631341 763263 1262682 1526526 1894023 3788046 5682069 11364138 17046207 34092414 51138621 102277242