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23123322113100 = 223521147914628533
BaseRepresentation
bin1010100000111110100010…
…11001101000110001001100
310000212120100002001020001020
411100133101121220301030
511012323030430104400
6121102412454314140
74604414322653226
oct520372131506114
9100776302036036
1023123322113100
117405600566650
122715555958950
13cb969b3534a1
1459d263791416
152a17560502a0
hex1507d1668c4c

23123322113100 has 144 divisors (see below), whose sum is σ = 73137988869120. Its totient is φ = 5593950636800.

The previous prime is 23123322113051. The next prime is 23123322113117. The reversal of 23123322113100 is 131122332132.

It is a super-2 number, since 2×231233221131002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5733567 + ... + 8894966.

It is an arithmetic number, because the mean of its divisors is an integer number (507902700480).

Almost surely, 223123322113100 is an apocalyptic number.

23123322113100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23123322113100 is an abundant number, since it is smaller than the sum of its proper divisors (50014666756020).

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

23123322113100 is a wasteful number, since it uses less digits than its factorization.

23123322113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14629040 (or 14629033 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 23123322113100 its reverse (131122332132), we get a palindrome (23254444445232).

The spelling of 23123322113100 in words is "twenty-three trillion, one hundred twenty-three billion, three hundred twenty-two million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 479 550 660 825 958 1100 1437 1650 1916 2395 2874 3300 4790 5269 5748 7185 9580 10538 11975 14370 15807 21076 23950 26345 28740 31614 35925 47900 52690 63228 71850 79035 105380 131725 143700 158070 263450 316140 395175 526900 790350 1580700 14628533 29257066 43885599 58514132 73142665 87771198 146285330 160913863 175542396 219427995 292570660 321827726 365713325 438855990 482741589 643655452 731426650 804569315 877711980 965483178 1097139975 1462853300 1609138630 1930966356 2194279950 2413707945 3218277260 4022846575 4388559900 4827415890 7007067307 8045693150 9654831780 12068539725 14014134614 16091386300 21021201921 24137079450 28028269228 35035336535 42042403842 48274158900 70070673070 77077740377 84084807684 105106009605 140141346140 154155480754 175176682675 210212019210 231233221131 308310961508 350353365350 385388701885 420424038420 462466442262 525530048025 700706730700 770777403770 924932884524 1051060096050 1156166105655 1541554807540 1926943509425 2102120192100 2312332211310 3853887018850 4624664422620 5780830528275 7707774037700 11561661056550 23123322113100