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120102002020 = 2257111313943159
BaseRepresentation
bin110111111011010100…
…0110001110101100100
3102111000010002211222001
41233312220301311210
53431432103031040
6131101334415044
711451145113250
oct1576650616544
9374003084861
10120102002020
1146a314a3810
121b339b01484
13b43037c1b0
145b54ad9260
1531cde0359a
hex1bf6a31d64

120102002020 has 192 divisors, whose sum is σ = 341081395200. Its totient is φ = 34305431040.

The previous prime is 120102002017. The next prime is 120102002021. The reversal of 120102002020 is 20200201021.

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 = 120102001988 and 120102002006.

It is not an unprimeable number, because it can be changed into a prime (120102002021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2761201 + ... + 2804359.

It is an arithmetic number, because the mean of its divisors is an integer number (1776465600).

Almost surely, 2120102002020 is an apocalyptic number.

120102002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120102002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170540697600).

120102002020 is an abundant number, since it is smaller than the sum of its proper divisors (220979393180).

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

120102002020 is a wasteful number, since it uses less digits than its factorization.

120102002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43338 (or 43336 counting only the distinct ones).

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

Adding to 120102002020 its reverse (20200201021), we get a palindrome (140302203041).

The spelling of 120102002020 in words is "one hundred twenty billion, one hundred two million, two thousand, twenty".