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23114004134100 = 223521127449255173
BaseRepresentation
bin1010100000101101001100…
…00000010111100011010100
310000211200021200121211211220
411100112212000113203110
511012144440024242400
6121054232113530340
74603634366311545
oct520264600274324
9100750250554756
1023114004134100
117401659831060
1227137952739b0
13cb8844a4bb49
1459ca1c0464cc
152a13aceb27a0
hex1505a60178d4

23114004134100 has 144 divisors (see below), whose sum is σ = 72959145940800. Its totient is φ = 5603168844800.

The previous prime is 23114004134027. The next prime is 23114004134101. The reversal of 23114004134100 is 143140041132.

It is a super-2 number, since 2×231140041341002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23114004134101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90454114 + ... + 90709286.

It is an arithmetic number, because the mean of its divisors is an integer number (506660735700).

Almost surely, 223114004134100 is an apocalyptic number.

23114004134100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23114004134100 is an abundant number, since it is smaller than the sum of its proper divisors (49845141806700).

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

23114004134100 is a wasteful number, since it uses less digits than its factorization.

23114004134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282650 (or 282643 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 23114004134100 its reverse (143140041132), we get a palindrome (23257144175232).

The spelling of 23114004134100 in words is "twenty-three trillion, one hundred fourteen billion, four million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 27449 54898 82347 109796 137245 164694 255173 274490 301939 329388 411735 510346 548980 603878 686225 765519 823470 905817 1020692 1207756 1275865 1372450 1509695 1531038 1646940 1811634 2058675 2551730 2744900 2806903 3019390 3062076 3623268 3827595 4117350 4529085 5103460 5613806 6038780 6379325 7548475 7655190 8234700 8420709 9058170 11227612 12758650 14034515 15096950 15310380 16841418 18116340 19137975 22645425 25517300 28069030 30193900 33682836 38275950 42103545 45290850 56138060 70172575 76551900 84207090 90581700 140345150 168414180 210517725 280690300 421035450 842070900 7004243677 14008487354 21012731031 28016974708 35021218385 42025462062 70042436770 77046680447 84050924124 105063655155 140084873540 154093360894 175106091925 210127310310 231140041341 308186721788 350212183850 385233402235 420254620620 462280082682 525318275775 700424367700 770466804470 924560165364 1050636551550 1155700206705 1540933608940 1926167011175 2101273103100 2311400413410 3852334022350 4622800826820 5778501033525 7704668044700 11557002067050 23114004134100