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102010032120 = 2335850083601
BaseRepresentation
bin101111100000001000…
…1011000111111111000
3100202022020212112221210
41133000101120333320
53132404032011440
6114510205003120
710240621652313
oct1370021307770
9322266775853
10102010032120
113a298004a77
121792ab534a0
13980908a169
144d19dab97a
1529c092ea80
hex17c0458ff8

102010032120 has 32 divisors (see below), whose sum is σ = 306030096720. Its totient is φ = 27202675200.

The previous prime is 102010032119. The next prime is 102010032127. The reversal of 102010032120 is 21230010201.

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 = 102010032096 and 102010032105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010032127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 425041681 + ... + 425041920.

Almost surely, 2102010032120 is an apocalyptic number.

102010032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010032120 is an abundant number, since it is smaller than the sum of its proper divisors (204020064600).

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

102010032120 is a wasteful number, since it uses less digits than its factorization.

102010032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850083615 (or 850083611 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102010032120 its reverse (21230010201), we get a palindrome (123240042321).

The spelling of 102010032120 in words is "one hundred two billion, ten million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 850083601 1700167202 2550250803 3400334404 4250418005 5100501606 6800668808 8500836010 10201003212 12751254015 17001672020 20402006424 25502508030 34003344040 51005016060 102010032120