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202020102001020 = 223548711969577639
BaseRepresentation
bin101101111011110001111000…
…011010101101000101111100
3222111021221012020221100212210
4231323301320122231011330
5202434344132103013040
61553354430442100420
760360320312104542
oct5573617032550574
9874257166840783
10202020102001020
1159408275a21016
121a7a8a234aa710
13889554c3923c4
1437c5b7a14bd92
151855016c35480
hexb7bc786ad17c

202020102001020 has 96 divisors (see below), whose sum is σ = 566866135987200. Its totient is φ = 53756822237184.

The previous prime is 202020102000973. The next prime is 202020102001051. The reversal of 202020102001020 is 20100201020202.

It is a super-2 number, since 2×2020201020010202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202020102000987 and 202020102001005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349445361 + ... + 350022999.

It is an arithmetic number, because the mean of its divisors is an integer number (5904855583200).

Almost surely, 2202020102001020 is an apocalyptic number.

202020102001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202020102001020 is an abundant number, since it is smaller than the sum of its proper divisors (364846033986180).

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

202020102001020 is a wasteful number, since it uses less digits than its factorization.

202020102001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590107 (or 590105 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202020102001020 its reverse (20100201020202), we get a palindrome (222120303021222).

The spelling of 202020102001020 in words is "two hundred two trillion, twenty billion, one hundred two million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 487 974 1461 1948 2435 2922 4870 5844 7305 9740 11969 14610 23938 29220 35907 47876 59845 71814 119690 143628 179535 239380 359070 577639 718140 1155278 1732917 2310556 2888195 3465834 5776390 5828903 6931668 8664585 11552780 11657806 17329170 17486709 23315612 29144515 34658340 34973418 58289030 69946836 87433545 116578060 174867090 281310193 349734180 562620386 843930579 1125240772 1406550965 1687861158 2813101930 3375722316 4219652895 5626203860 6913761191 8439305790 13827522382 16878611580 20741283573 27655044764 34568805955 41482567146 69137611910 82965134292 103706417865 138275223820 207412835730 414825671460 3367001700017 6734003400034 10101005100051 13468006800068 16835008500085 20202010200102 33670017000170 40404020400204 50505025500255 67340034000340 101010051000510 202020102001020