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102012102 = 2331925233
BaseRepresentation
bin1100001010010…
…01010011000110
321002221202022000
412011021103012
5202103341402
614042250130
72346042243
oct605112306
9232852260
10102012102
1152646225
122a1b6946
13181995ba
14d7965ca
158e50c1c
hex61494c6

102012102 has 48 divisors (see below), whose sum is σ = 239298480. Its totient is φ = 32208192.

The previous prime is 102012091. The next prime is 102012133. The reversal of 102012102 is 201210201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 16878 + ... + 22110.

It is an arithmetic number, because the mean of its divisors is an integer number (4985385).

Almost surely, 2102012102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102012102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119649240).

102012102 is an abundant number, since it is smaller than the sum of its proper divisors (137286378).

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

102012102 is a wasteful number, since it uses less digits than its factorization.

102012102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5282 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 102012102 is about 10100.1040588699. The cubic root of 102012102 is about 467.2513507068.

Adding to 102012102 its reverse (201210201), we get a palindrome (303222303).

The spelling of 102012102 in words is "one hundred two million, twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 361 513 722 1026 1083 2166 3249 5233 6498 9747 10466 15699 19494 31398 47097 94194 99427 141291 198854 282582 298281 596562 894843 1789686 1889113 2684529 3778226 5369058 5667339 11334678 17002017 34004034 51006051 102012102