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21522124114031 = 232157263398419
BaseRepresentation
bin1001110010011000000101…
…00100000000100001101111
32211012111100211112002022002
410321030002210000201233
510310104302233122111
6113435043300242515
74350631204353422
oct471140244004157
984174324462262
1021522124114031
116948532a88792
1224b716b9a043b
13c016b2186978
14545967d359b9
15274c8e6c863b
hex13930290086f

21522124114031 has 24 divisors (see below), whose sum is σ = 22650685476720. Its totient is φ = 20447279588736.

The previous prime is 21522124113989. The next prime is 21522124114087. The reversal of 21522124114031 is 13041142122512.

It is not a de Polignac number, because 21522124114031 - 26 = 21522124113967 is a prime.

It is a super-2 number, since 2×215221241140312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21522124113985 and 21522124114003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21522124114091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218629340 + ... + 218727758.

It is an arithmetic number, because the mean of its divisors is an integer number (943778561530).

Almost surely, 221522124114031 is an apocalyptic number.

21522124114031 is a deficient number, since it is larger than the sum of its proper divisors (1128561362689).

21522124114031 is a wasteful number, since it uses less digits than its factorization.

21522124114031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101255 (or 101232 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 21522124114031 its reverse (13041142122512), we get a palindrome (34563266236543).

The spelling of 21522124114031 in words is "twenty-one trillion, five hundred twenty-two billion, one hundred twenty-four million, one hundred fourteen thousand, thirty-one".

Divisors: 1 23 157 529 2633 3611 60559 83053 98419 413381 1392857 2263637 9507763 15451783 52063651 218678549 259137227 355391009 5960156221 8173993207 40684544639 137083593083 935744526697 21522124114031