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20211400411202 = 27111318155776821
BaseRepresentation
bin1001001100001110101010…
…10101111000100001000010
32122120012011020122002022002
410212013111111320201002
510122120422001124302
6110552553354344002
74154140225615220
oct446072525704102
978505136562262
1020211400411202
116492674692980
12232513112b002
13b37c08484050
144dc34647db10
15250b290dec02
hex1261d5578842

20211400411202 has 64 divisors (see below), whose sum is σ = 40930370627328. Its totient is φ = 7228675872000.

The previous prime is 20211400411193. The next prime is 20211400411217.

20211400411202 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27526049 + ... + 28250772.

It is an arithmetic number, because the mean of its divisors is an integer number (639537041052).

Almost surely, 220211400411202 is an apocalyptic number.

20211400411202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20211400411202 is an abundant number, since it is smaller than the sum of its proper divisors (20718970216126).

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

20211400411202 is a wasteful number, since it uses less digits than its factorization.

20211400411202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55777035.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 20211400 and 411202, that added together give a palindrome (20622602).

The spelling of 20211400411202 in words is "twenty trillion, two hundred eleven billion, four hundred million, four hundred eleven thousand, two hundred two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 181 182 286 362 1001 1267 1991 2002 2353 2534 3982 4706 13937 16471 25883 27874 32942 51766 181181 362362 55776821 111553642 390437747 613545031 725098673 780875494 1227090062 1450197346 4294815217 5075690711 7976085403 8589630434 10095604601 10151381422 15952170806 20191209202 55832597821 70669232207 111051650611 111665195642 131242859813 141338464414 222103301222 262485719626 777361554277 918700018691 1443671457943 1554723108554 1837400037382 2887342915886 10105700205601 20211400411202