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102020120020 = 22571356055011
BaseRepresentation
bin101111100000011011…
…1110111110111010100
3100202022221212001221201
41133000313313313110
53132414122320040
6114511205122244
710241103466150
oct1370067676724
9322287761851
10102020120020
113a2a2775185
12179323b9384
13980b1aca30
144d1b476060
1529c1773a9a
hex17c0df7dd4

102020120020 has 48 divisors (see below), whose sum is σ = 263682776448. Its totient is φ = 32287685760.

The previous prime is 102020119991. The next prime is 102020120021. The reversal of 102020120020 is 20021020201.

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 = 102020119979 and 102020120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020120021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28025686 + ... + 28029325.

It is an arithmetic number, because the mean of its divisors is an integer number (5493391176).

Almost surely, 2102020120020 is an apocalyptic number.

102020120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020120020 is an abundant number, since it is smaller than the sum of its proper divisors (161662656428).

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

102020120020 is a wasteful number, since it uses less digits than its factorization.

102020120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56055040 (or 56055038 counting only the distinct ones).

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

Adding to 102020120020 its reverse (20021020201), we get a palindrome (122041140221).

The spelling of 102020120020 in words is "one hundred two billion, twenty million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 56055011 112110022 224220044 280275055 392385077 560550110 728715143 784770154 1121100220 1457430286 1569540308 1961925385 2914860572 3643575715 3923850770 5101006001 7287151430 7847701540 10202012002 14574302860 20404024004 25505030005 51010060010 102020120020