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131021220413041 = 7223473377339897
BaseRepresentation
bin11101110010100111000001…
…010011001111111001110001
3122011220111200010101101110121
4131302213001103033321301
5114133122424411204131
61142354152343330241
736411653661042100
oct3562470123177161
9564814603341417
10131021220413041
1138824873230562
1212840959750981
13581532c01923a
14244d664a12037
151023268c99911
hex7729c14cfe71

131021220413041 has 48 divisors (see below), whose sum is σ = 162904867047936. Its totient is φ = 104823579700224.

The previous prime is 131021220412997. The next prime is 131021220413053. The reversal of 131021220413041 is 140314022120131.

It is not a de Polignac number, because 131021220413041 - 225 = 131021186858609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131021220412997 and 131021220413015.

It is not an unprimeable number, because it can be changed into a prime (131021220413081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14180605 + ... + 21520501.

It is an arithmetic number, because the mean of its divisors is an integer number (3393851396832).

Almost surely, 2131021220413041 is an apocalyptic number.

It is an amenable number.

131021220413041 is a deficient number, since it is larger than the sum of its proper divisors (31883646634895).

131021220413041 is a wasteful number, since it uses less digits than its factorization.

131021220413041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7340318 (or 7340311 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 131021220413041 its reverse (140314022120131), we get a palindrome (271335242533172).

The spelling of 131021220413041 in words is "one hundred thirty-one trillion, twenty-one billion, two hundred twenty million, four hundred thirteen thousand, forty-one".

Divisors: 1 7 23 47 49 161 329 337 1081 1127 2303 2359 7567 7751 15839 16513 52969 54257 110873 364297 379799 776111 2550079 7339897 17850553 51379279 168817631 344975159 359654953 1181723417 2414826113 2473545289 7934428657 8272063919 16903782791 17314817023 55541000599 56891541647 116256628583 121203719161 388787004193 398240791529 813796400081 2673902457409 2787685540703 5696574800567 18717317201863 131021220413041