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80022100122008 = 23118981953124673
BaseRepresentation
bin10010001100011110011000…
…110110100001100110011000
3101111100001000202010112200022
4102030132120312201212120
540442040230112401013
6442105351214530012
722566256145060042
oct2214363066414630
9344301022115608
1080022100122008
112355220038a990
128b8499b506908
13358608966b3a5
1415a9139b58a92
1593b859c43008
hex48c798da1998

80022100122008 has 64 divisors (see below), whose sum is σ = 165524034535200. Its totient is φ = 35964261498880.

The previous prime is 80022100122007. The next prime is 80022100122017.

80022100122008 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80022100122007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 641793560 + ... + 641918232.

Almost surely, 280022100122008 is an apocalyptic number.

80022100122008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

80022100122008 is an abundant number, since it is smaller than the sum of its proper divisors (85501934413192).

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

80022100122008 is a wasteful number, since it uses less digits than its factorization.

80022100122008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206732 (or 206728 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

It can be divided in two parts, 80022100 and 122008, that added together give a palindrome (80144108).

The spelling of 80022100122008 in words is "eighty trillion, twenty-two billion, one hundred million, one hundred twenty-two thousand, eight".

Divisors: 1 2 4 8 11 22 44 88 89 178 356 712 979 1958 3916 7832 81953 124673 163906 249346 327812 498692 655624 901483 997384 1371403 1802966 2742806 3605932 5485612 7211864 7293817 10971224 11095897 14587634 22191794 29175268 44383588 58350536 80231987 88767176 122054867 160463974 244109734 320927948 488219468 641855896 976438936 10217326369 20434652738 40869305476 81738610952 112390590059 224781180118 449562360236 899124720472 909342046841 1818684093682 3637368187364 7274736374728 10002762515251 20005525030502 40011050061004 80022100122008