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102142152 = 23327414943
BaseRepresentation
bin1100001011010…
…01000011001000
321010012100200200
412011221003020
5202122022102
614045132200
72350123350
oct605510310
9233170620
10102142152
1152724a02
122a25a060
1318213858
14d7cbb60
158e7951c
hex61690c8

102142152 has 96 divisors (see below), whose sum is σ = 323930880. Its totient is φ = 28465920.

The previous prime is 102142133. The next prime is 102142177. The reversal of 102142152 is 251241201.

It is a super-2 number, since 2×1021421522 = 20866038430382208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18193 + ... + 23135.

It is an arithmetic number, because the mean of its divisors is an integer number (3374280).

Almost surely, 2102142152 is an apocalyptic number.

102142152 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 102142152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161965440).

102142152 is an abundant number, since it is smaller than the sum of its proper divisors (221788728).

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

102142152 is a wasteful number, since it uses less digits than its factorization.

102142152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5003 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 102142152 is about 10106.5400607725. The cubic root of 102142152 is about 467.4498246550.

Adding to 102142152 its reverse (251241201), we get a palindrome (353383353).

The spelling of 102142152 in words is "one hundred two million, one hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 123 126 164 168 246 252 287 328 369 492 504 574 738 861 984 1148 1476 1722 2296 2583 2952 3444 4943 5166 6888 9886 10332 14829 19772 20664 29658 34601 39544 44487 59316 69202 88974 103803 118632 138404 177948 202663 207606 276808 311409 355896 405326 415212 607989 622818 810652 830424 1215978 1245636 1418641 1621304 1823967 2431956 2491272 2837282 3647934 4255923 4863912 5674564 7295868 8511846 11349128 12767769 14591736 17023692 25535538 34047384 51071076 102142152