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202121132131030 = 25710174338477203
BaseRepresentation
bin101101111101001111111110…
…010010000100001011010110
3222111122120222012221201211211
4231331033332102010023112
5202443023034311143110
61553513055524252034
760400525035043540
oct5575177622041326
9874576865851754
10202121132131030
11594470aa88a032
121a80451a24101a
1388a1c3042b218
1437caa01d20690
15185797b60398a
hexb7d3fe4842d6

202121132131030 has 64 divisors (see below), whose sum is σ = 420473960229888. Its totient is φ = 68520201321600.

The previous prime is 202121132131021. The next prime is 202121132131031. The reversal of 202121132131030 is 30131231121202.

It is a junction number, because it is equal to n+sod(n) for n = 202121132130992 and 202121132131010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202121132131031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13985592 + ... + 24491611.

It is an arithmetic number, because the mean of its divisors is an integer number (6569905628592).

Almost surely, 2202121132131030 is an apocalyptic number.

202121132131030 is an abundant number, since it is smaller than the sum of its proper divisors (218352828098858).

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

202121132131030 is a wasteful number, since it uses less digits than its factorization.

202121132131030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38478061.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 202121132131030 its reverse (30131231121202), we get a palindrome (232252363252232).

The spelling of 202121132131030 in words is "two hundred two trillion, one hundred twenty-one billion, one hundred thirty-two million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 5 7 10 14 35 70 101 202 505 707 743 1010 1414 1486 3535 3715 5201 7070 7430 10402 26005 52010 75043 150086 375215 525301 750430 1050602 2626505 5253010 38477203 76954406 192386015 269340421 384772030 538680842 1346702105 2693404210 3886197503 7772395006 19430987515 27203382521 28588561829 38861975030 54406765042 57177123658 136016912605 142942809145 200119932803 272033825210 285885618290 400239865606 1000599664015 2001199328030 2887444744729 5774889489458 14437223723645 20212113213103 28874447447290 40424226426206 101060566065515 202121132131030