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23123131000101 = 33111132112132621
BaseRepresentation
bin1010100000111110001100…
…00000100110010100100101
310000212112211202102200022000
411100133012000212110211
511012322133014000401
6121102341510155513
74604406512351406
oct520370600462445
9100775752380260
1023123131000101
1174055126a3620
122715501952b99
13cb966a88b282
1459d2462439ad
152a174439e186
hex1507c6026525

23123131000101 has 64 divisors (see below), whose sum is σ = 37704371892480. Its totient is φ = 13888917504000.

The previous prime is 23123131000091. The next prime is 23123131000171. The reversal of 23123131000101 is 10100013132132.

23123131000101 is a `hidden beast` number, since 2 + 312 + 31 + 310 + 0 + 0 + 10 + 1 = 666.

It is not a de Polignac number, because 23123131000101 - 226 = 23123063891237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23123131000171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 708825571 + ... + 708858191.

It is an arithmetic number, because the mean of its divisors is an integer number (589130810820).

Almost surely, 223123131000101 is an apocalyptic number.

It is an amenable number.

23123131000101 is a deficient number, since it is larger than the sum of its proper divisors (14581240892379).

23123131000101 is a wasteful number, since it uses less digits than its factorization.

23123131000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53875 (or 53869 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 23123131000101 its reverse (10100013132132), we get a palindrome (33223144132233).

The spelling of 23123131000101 in words is "twenty-three trillion, one hundred twenty-three billion, one hundred thirty-one million, one hundred one", and thus it is an aban number.

Divisors: 1 3 9 11 27 33 99 113 297 339 1017 1243 3051 3729 11187 21121 32621 33561 63363 97863 190089 232331 293589 358831 570267 696993 880767 1076493 2090979 2386673 3229479 3686173 6272937 7160019 9688437 11058519 21480057 26253403 33175557 40547903 64440171 78760209 99526671 121643709 236280627 364931127 688988141 708841881 1094793381 2066964423 6200893269 7578869551 18602679807 22736608653 68209825959 77855659933 204629477877 233566979799 700700939397 856412259263 2102102818191 2569236777789 7707710333367 23123131000101