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20102021120 = 2155122693
BaseRepresentation
bin10010101110001011…
…001000000000000000
31220212221111110220202
4102232023020000000
5312132104133440
613122412024332
71311101234366
oct225613100000
956787443822
1020102021120
118586080aa5
123a901620a8
131b8487836c
14d89a81636
157c9bbe615
hex4ae2c8000

20102021120 has 64 divisors (see below), whose sum is σ = 48244507740. Its totient is φ = 8040742912.

The previous prime is 20102021113. The next prime is 20102021143. The reversal of 20102021120 is 2112020102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16680239104 + 3421782016 = 129152^2 + 58496^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102494 + ... + 225186.

Almost surely, 220102021120 is an apocalyptic number.

20102021120 is a gapful number since it is divisible by the number (20) 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 20102021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24122253870).

20102021120 is an abundant number, since it is smaller than the sum of its proper divisors (28142486620).

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

20102021120 is an frugal number, since it uses more digits than its factorization.

20102021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122728 (or 122700 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20102021120 its reverse (2112020102), we get a palindrome (22214041222).

The spelling of 20102021120 in words is "twenty billion, one hundred two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 16384 20480 32768 40960 81920 122693 163840 245386 490772 613465 981544 1226930 1963088 2453860 3926176 4907720 7852352 9815440 15704704 19630880 31409408 39261760 62818816 78523520 125637632 157047040 251275264 314094080 502550528 628188160 1005101056 1256376320 2010202112 2512752640 4020404224 5025505280 10051010560 20102021120