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131002110120021 = 37217937861131497
BaseRepresentation
bin11101110010010101001110…
…001111010001000001010101
3122011211200100021222220202020
4131302111032033101001111
5114132314310142320041
61142341312155403353
736410406261164100
oct3562251617210125
9564750307886666
10131002110120021
1138817756a43568
1212839105753559
1358135a4a72c4a
14244c770967737
1510229eb1c5866
hex77254e3d1055

131002110120021 has 48 divisors (see below), whose sum is σ = 204329019407040. Its totient is φ = 74437613349120.

The previous prime is 131002110119987. The next prime is 131002110120043. The reversal of 131002110120021 is 120021011200131.

It is not a de Polignac number, because 131002110120021 - 227 = 131001975902293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131002110120221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 996170745 + ... + 996302241.

It is an arithmetic number, because the mean of its divisors is an integer number (4256854570980).

Almost surely, 2131002110120021 is an apocalyptic number.

It is an amenable number.

131002110120021 is a deficient number, since it is larger than the sum of its proper divisors (73326909287019).

131002110120021 is a wasteful number, since it uses less digits than its factorization.

131002110120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169554 (or 169547 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 131002110120021 its reverse (120021011200131), we get a palindrome (251023121320152).

The spelling of 131002110120021 in words is "one hundred thirty-one trillion, two billion, one hundred ten million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 7 21 49 147 179 537 1253 3759 8771 26313 37861 113583 131497 265027 394491 795081 920479 1855189 2761437 5565567 6443353 6777119 19330059 20331357 23537963 47439833 70613889 142319499 164765741 332078831 494297223 996236493 1153360187 3460080561 4978607917 14935823751 34850255419 104550766257 243951787933 731855363799 891170817143 2673512451429 6238195720001 18714587160003 43667370040007 131002110120021