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202120202021202 = 232171122895882353
BaseRepresentation
bin101101111101001111000110…
…110101111110100101010010
3222111122111120101210021000200
4231331033012311332211102
5202443014133204134302
61553512423341000030
760400463012201223
oct5575170665764522
9874574511707020
10202120202021202
1159446772861823
121a8042ba853016
1388a1b1282188a
1437ca9545a724a
151857924b2a81c
hexb7d3c6d7e952

202120202021202 has 48 divisors (see below), whose sum is σ = 463691730523320. Its totient is φ = 63409683972096.

The previous prime is 202120202021183. The next prime is 202120202021237.

202120202021202 is a `hidden beast` number, since 202 + 120 + 20 + 202 + 120 + 2 = 666.

202120202021202 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 187566747641001 + 14553454380201 = 13695501^2 + 3814899^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31419258 + ... + 37301610.

Almost surely, 2202120202021202 is an apocalyptic number.

202120202021202 is an abundant number, since it is smaller than the sum of its proper divisors (261571528502118).

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

202120202021202 is a wasteful number, since it uses less digits than its factorization.

202120202021202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994667 (or 5994664 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 20212020 and 2021202, that added together give a palindrome (22233222).

The spelling of 202120202021202 in words is "two hundred two trillion, one hundred twenty billion, two hundred two million, twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 112289 224578 336867 673734 1010601 1908913 2021202 3817826 5726739 5882353 11453478 11764706 17180217 17647059 34360434 35294118 52941177 100000001 105882354 200000002 300000003 600000006 900000009 1800000018 660523536017 1321047072034 1981570608051 3963141216102 5944711824153 11228900112289 11889423648306 22457800224578 33686700336867 67373400673734 101060101010601 202120202021202