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102131020 = 22543118757
BaseRepresentation
bin1100001011001…
…10010101001100
321010011210102101
412011212111030
5202121143040
614045004444
72350046035
oct605462514
9233153371
10102131020
1152717602
122a253724
131820b774
14d7c7a8c
158e7609a
hex616654c

102131020 has 24 divisors (see below), whose sum is σ = 219464784. Its totient is φ = 39902016.

The previous prime is 102130999. The next prime is 102131033. The reversal of 102131020 is 20131201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102130988 and 102131006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58519 + ... + 60238.

It is an arithmetic number, because the mean of its divisors is an integer number (9144366).

Almost surely, 2102131020 is an apocalyptic number.

102131020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102131020 is an abundant number, since it is smaller than the sum of its proper divisors (117333764).

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

102131020 is a wasteful number, since it uses less digits than its factorization.

102131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118809 (or 118807 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 102131020 is about 10105.9893132736. The cubic root of 102131020 is about 467.4328423077.

Adding to 102131020 its reverse (20131201), we get a palindrome (122262221).

It can be divided in two parts, 1021 and 31020, that added together give a square (32041 = 1792).

The spelling of 102131020 in words is "one hundred two million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 118757 237514 475028 593785 1187570 2375140 5106551 10213102 20426204 25532755 51065510 102131020