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131020111322322 = 23145492170169163
BaseRepresentation
bin11101110010100101111111…
…001100011001110011010010
3122011220101210211102202000120
4131302211333030121303102
5114133113141444303242
61142353450323531110
736411614332654335
oct3562457714316322
9564811724382016
10131020111322322
1138824354177262
12128406aa229a96
1358151b3304841
14244d59b5c861c
15102320171a1ec
hex77297f319cd2

131020111322322 has 32 divisors (see below), whose sum is σ = 262074098548800. Its totient is φ = 43667724878400.

The previous prime is 131020111322251. The next prime is 131020111322377. The reversal of 131020111322322 is 223223111020131.

131020111322322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131020111322292 and 131020111322301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1894332513 + ... + 1894401675.

It is an arithmetic number, because the mean of its divisors is an integer number (8189815579650).

Almost surely, 2131020111322322 is an apocalyptic number.

131020111322322 is an abundant number, since it is smaller than the sum of its proper divisors (131053987226478).

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

131020111322322 is a wasteful number, since it uses less digits than its factorization.

131020111322322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105418.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131020111322322 its reverse (223223111020131), we get a palindrome (354243222342453).

The spelling of 131020111322322 in words is "one hundred thirty-one trillion, twenty billion, one hundred eleven million, three hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 14549 21701 29098 43402 43647 65103 69163 87294 130206 138326 207489 414978 315727849 631455698 947183547 1006252487 1500906263 1894367094 2012504974 3001812526 3018757461 4502718789 6037514922 9005437578 21836685220387 43673370440774 65510055661161 131020111322322