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102022120 = 23510125253
BaseRepresentation
bin1100001010010…
…11101111101000
321002222021001001
412011023233220
5202104201440
614042404344
72346113404
oct605135750
9232867031
10102022120
1152652802
122a2006b4
13181a1025
14d79a104
158e53b9a
hex614bbe8

102022120 has 32 divisors (see below), whose sum is σ = 231831720. Its totient is φ = 40403200.

The previous prime is 102022111. The next prime is 102022121. The reversal of 102022120 is 21220201.

It can be written as a sum of positive squares in 4 ways, for example, as 100681156 + 1340964 = 10034^2 + 1158^2 .

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 = 102022097 and 102022106.

It is not an unprimeable number, because it can be changed into a prime (102022121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8587 + ... + 16666.

Almost surely, 2102022120 is an apocalyptic number.

102022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022120 is an abundant number, since it is smaller than the sum of its proper divisors (129809600).

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

102022120 is a wasteful number, since it uses less digits than its factorization.

102022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25365 (or 25361 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 102022120 is about 10100.5999821793. The cubic root of 102022120 is about 467.2666455288.

Adding to 102022120 its reverse (21220201), we get a palindrome (123242321).

The spelling of 102022120 in words is "one hundred two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 25253 50506 101012 126265 202024 252530 505060 1010120 2550553 5101106 10202212 12752765 20404424 25505530 51011060 102022120