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102114012 = 223711138501
BaseRepresentation
bin1100001011000…
…10001011011100
321010010221002110
412011202023130
5202120122022
614044354020
72346645330
oct605421334
9233127073
10102114012
1152705850
122a245910
1318203ac0
14d7c17c0
158e7100c
hex61622dc

102114012 has 96 divisors (see below), whose sum is σ = 319947264. Its totient is φ = 24480000.

The previous prime is 102114011. The next prime is 102114013. The reversal of 102114012 is 210411201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102114011) and next prime (102114013).

It is a super-2 number, since 2×1021140122 = 20854542893472288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102114011) 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, 7762 + ... + 16262.

It is an arithmetic number, because the mean of its divisors is an integer number (3332784).

Almost surely, 2102114012 is an apocalyptic number.

102114012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102114012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159973632).

102114012 is an abundant number, since it is smaller than the sum of its proper divisors (217833252).

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

102114012 is a wasteful number, since it uses less digits than its factorization.

102114012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8539 (or 8537 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 102114012 is about 10105.1477970389. The cubic root of 102114012 is about 467.4068934851.

Adding to 102114012 its reverse (210411201), we get a palindrome (312525213).

The spelling of 102114012 in words is "one hundred two million, one hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 8501 12012 17002 25503 34004 51006 59507 93511 102012 110513 119014 178521 187022 221026 238028 280533 331539 357042 374044 442052 561066 654577 663078 714084 773591 1122132 1215643 1309154 1326156 1547182 1963731 2320773 2431286 2618308 3094364 3646929 3927462 4641546 4862572 7293858 7854924 8509501 9283092 14587716 17019002 25528503 34038004 51057006 102114012