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10133020100031 = 328164324777547
BaseRepresentation
bin1001001101110100011100…
…0100000100010110111111
31022212201002121000110211220
42103131013010010112333
52312004411121200111
633315013431244423
72064041453501103
oct223350704042677
938781077013756
1010133020100031
113257431751a94
121177a1bb19713
1358670293139a
14270625753903
151288b2ebae06
hex937471045bf

10133020100031 has 32 divisors (see below), whose sum is σ = 13587143447808. Its totient is φ = 6717234289920.

The previous prime is 10133020100009. The next prime is 10133020100039. The reversal of 10133020100031 is 13000102033101.

10133020100031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10133020100031 - 26 = 10133020099967 is a prime.

It is a super-2 number, since 2×101330201000312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133020100039) 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, 1342651600 + ... + 1342659146.

It is an arithmetic number, because the mean of its divisors is an integer number (424598232744).

Almost surely, 210133020100031 is an apocalyptic number.

10133020100031 is a deficient number, since it is larger than the sum of its proper divisors (3454123347777).

10133020100031 is a wasteful number, since it uses less digits than its factorization.

10133020100031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10951.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10133020100031 its reverse (13000102033101), we get a palindrome (23133122133132).

The spelling of 10133020100031 in words is "ten trillion, one hundred thirty-three billion, twenty million, one hundred thousand, thirty-one".

Divisors: 1 3 281 643 843 1929 2477 7431 7547 22641 180683 542049 696037 1592711 2088111 2120707 4778133 4852721 6362121 14558163 18693919 56081757 447551791 1342655373 1363614601 4090843803 5252991239 12020189917 15758973717 36060569751 3377673366677 10133020100031