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102022000120 = 2354875237269
BaseRepresentation
bin101111100000011111…
…1000010110111111000
3100202100002101120222001
41133000333002313320
53132420113000440
6114511313310344
710241125456405
oct1370077026770
9322302346861
10102022000120
113a2a3839787
1217932b653b4
13980b6ba711
144d1b8052ac
1529c19e5b9a
hex17c0fc2df8

102022000120 has 32 divisors (see below), whose sum is σ = 230020898400. Its totient is φ = 40724995968.

The previous prime is 102022000111. The next prime is 102022000123. The reversal of 102022000120 is 21000220201.

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 = 102022000097 and 102022000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022000123) 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, 2599155 + ... + 2638114.

It is an arithmetic number, because the mean of its divisors is an integer number (7188153075).

Almost surely, 2102022000120 is an apocalyptic number.

102022000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022000120 is an abundant number, since it is smaller than the sum of its proper divisors (127998898280).

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

102022000120 is a wasteful number, since it uses less digits than its factorization.

102022000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5237767 (or 5237763 counting only the distinct ones).

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

Adding to 102022000120 its reverse (21000220201), we get a palindrome (123022220321).

The spelling of 102022000120 in words is "one hundred two billion, twenty-two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 487 974 1948 2435 3896 4870 9740 19480 5237269 10474538 20949076 26186345 41898152 52372690 104745380 209490760 2550550003 5101100006 10202200012 12752750015 20404400024 25505500030 51011000060 102022000120