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102121236 = 223675003
BaseRepresentation
bin1100001011000…
…11111100010100
321010011022000000
412011203330110
5202120334421
614044451300
72350005360
oct605437424
9233138000
10102121236
1152710218
122a249b30
1318207189
14d7c42a0
158e73226
hex6163f14

102121236 has 84 divisors (see below), whose sum is σ = 306284832. Its totient is φ = 29171664.

The previous prime is 102121231. The next prime is 102121237. The reversal of 102121236 is 632121201.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121231) 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 27 ways as a sum of consecutive naturals, for example, 17911 + ... + 22913.

It is an arithmetic number, because the mean of its divisors is an integer number (3646248).

Almost surely, 2102121236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153142416).

102121236 is an abundant number, since it is smaller than the sum of its proper divisors (204163596).

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

102121236 is an equidigital number, since it uses as much as digits as its factorization.

102121236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102121236 is about 10105.5052322979. The cubic root of 102121236 is about 467.4179153737.

Adding to 102121236 its reverse (632121201), we get a palindrome (734242437).

The spelling of 102121236 in words is "one hundred two million, one hundred twenty-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2268 2916 3402 5003 5103 6804 10006 10206 15009 20012 20412 30018 35021 45027 60036 70042 90054 105063 135081 140084 180108 210126 270162 315189 405243 420252 540324 630378 810486 945567 1215729 1260756 1620972 1891134 2431458 2836701 3647187 3782268 4862916 5673402 7294374 8510103 11346804 14588748 17020206 25530309 34040412 51060618 102121236