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120102010020 = 22325667233389
BaseRepresentation
bin110111111011010100…
…0110011110010100100
3102111000010010020221100
41233312220303302210
53431432103310040
6131101334520100
711451145145466
oct1576650636244
9374003106840
10120102010020
1146a314a9823
121b339b06030
13b430382a25
145b54adc136
1531cde05b30
hex1bf6a33ca4

120102010020 has 36 divisors (see below), whose sum is σ = 364309430940. Its totient is φ = 32027202624.

The previous prime is 120102009919. The next prime is 120102010087. The reversal of 120102010020 is 20010201021.

It can be written as a sum of positive squares in 2 ways, for example, as 48016203876 + 72085806144 = 219126^2 + 268488^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120102009984 and 120102010011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333616515 + ... + 333616874.

It is an arithmetic number, because the mean of its divisors is an integer number (10119706415).

Almost surely, 2120102010020 is an apocalyptic number.

120102010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120102010020 is an abundant number, since it is smaller than the sum of its proper divisors (244207420920).

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

120102010020 is a wasteful number, since it uses less digits than its factorization.

120102010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667233404 (or 667233399 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120102010020 its reverse (20010201021), we get a palindrome (140112211041).

The spelling of 120102010020 in words is "one hundred twenty billion, one hundred two million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 667233389 1334466778 2001700167 2668933556 3336166945 4003400334 6005100501 6672333890 8006800668 10008500835 12010201002 13344667780 20017001670 24020402004 30025502505 40034003340 60051005010 120102010020