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23114100141132 = 223711131924250761
BaseRepresentation
bin1010100000101101010111…
…01110100110110001001100
310000211200112101021111201220
411100112223232212301030
511012200134114004012
6121054245423403340
74603636643333460
oct520265356466114
9100750471244656
1023114100141132
1174016a8a45610
122713801453550
13cb885b8c5040
1459ca2aab84a0
152a13b662908c
hex1505abba6c4c

23114100141132 has 96 divisors (see below), whose sum is σ = 72413404675584. Its totient is φ = 5541842188800.

The previous prime is 23114100141101. The next prime is 23114100141133.

23114100141132 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (23114100141133) 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, 962113369 + ... + 962137392.

It is an arithmetic number, because the mean of its divisors is an integer number (754306298704).

Almost surely, 223114100141132 is an apocalyptic number.

23114100141132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23114100141132 is an abundant number, since it is smaller than the sum of its proper divisors (49299304534452).

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

23114100141132 is a wasteful number, since it uses less digits than its factorization.

23114100141132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924250799 (or 1924250797 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 23114100 and 141132, that added together give a palindrome (23255232).

The spelling of 23114100141132 in words is "twenty-three trillion, one hundred fourteen billion, one hundred million, one hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 1924250761 3848501522 5772752283 7697003044 11545504566 13469755327 21166758371 23091009132 25015259893 26939510654 40409265981 42333516742 50030519786 53879021308 63500275113 75045779679 80818531962 84667033484 100061039572 127000550226 148167308597 150091559358 161637063924 175106819251 254001100452 275167858823 296334617194 300183118716 350213638502 444501925791 525320457753 550335717646 592669234388 700427277004 825503576469 889003851582 1050640915506 1100671435292 1651007152938 1778007703164 1926175011761 2101281831012 3302014305876 3852350023522 5778525035283 7704700047044 11557050070566 23114100141132