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102142020 = 22357123977
BaseRepresentation
bin1100001011010…
…01000001000100
321010012100111210
412011221001010
5202122021040
614045131420
72350123101
oct605510104
9233170453
10102142020
11527248a2
122a259b70
1318213786
14d7cbaa8
158e79480
hex6169044

102142020 has 48 divisors (see below), whose sum is σ = 290037888. Its totient is φ = 26853120.

The previous prime is 102142013. The next prime is 102142021. The reversal of 102142020 is 20241201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102141987 and 102142005.

It is not an unprimeable number, because it can be changed into a prime (102142021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7729 + ... + 16248.

It is an arithmetic number, because the mean of its divisors is an integer number (6042456).

Almost surely, 2102142020 is an apocalyptic number.

102142020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102142020 is an abundant number, since it is smaller than the sum of its proper divisors (187895868).

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

102142020 is a wasteful number, since it uses less digits than its factorization.

102142020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24060 (or 24058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102142020 is about 10106.5335303456. The cubic root of 102142020 is about 467.4496232905.

Adding to 102142020 its reverse (20241201), we get a palindrome (122383221).

The spelling of 102142020 in words is "one hundred two million, one hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 23977 47954 71931 95908 119885 143862 239770 287724 359655 479540 719310 1438620 1702367 3404734 5107101 6809468 8511835 10214202 17023670 20428404 25535505 34047340 51071010 102142020