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23130123100 = 22527195633089
BaseRepresentation
bin10101100010101010…
…011010101101011100
32012200222101222220221
4111202222122231130
5334332302414400
614343102451124
71446120542140
oct254252325534
965628358827
1023130123100
11989a395917
124596293aa4
13224801b996
141195cc1220
15905964c1a
hex562a9ab5c

23130123100 has 144 divisors (see below), whose sum is σ = 60508627200. Its totient is φ = 7497169920.

The previous prime is 23130123097. The next prime is 23130123139. The reversal of 23130123100 is 132103132.

It is a super-2 number, since 2×231301231002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 7486356 + ... + 7489444.

It is an arithmetic number, because the mean of its divisors is an integer number (420198800).

Almost surely, 223130123100 is an apocalyptic number.

23130123100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23130123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30254313600).

23130123100 is an abundant number, since it is smaller than the sum of its proper divisors (37378504100).

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

23130123100 is a wasteful number, since it uses less digits than its factorization.

23130123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 23130123100 its reverse (132103132), we get a palindrome (23262226232).

The spelling of 23130123100 in words is "twenty-three billion, one hundred thirty million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 563 665 700 950 1126 1330 1900 2252 2660 2815 3089 3325 3941 5630 6178 6650 7882 10697 11260 12356 13300 14075 15445 15764 19705 21394 21623 28150 30890 39410 42788 43246 53485 56300 58691 61780 74879 77225 78820 86492 98525 106970 108115 117382 149758 154450 197050 213940 216230 234764 267425 293455 299516 308900 374395 394100 410837 432460 534850 540575 586910 748790 821674 1069700 1081150 1173820 1467275 1497580 1643348 1739107 1871975 2054185 2162300 2934550 3478214 3743950 4108370 5869100 6956428 7487900 8216740 8695535 10270925 12173749 17391070 20541850 24347498 33043033 34782140 41083700 43477675 48694996 60868745 66086066 86955350 121737490 132172132 165215165 173910700 231301231 243474980 304343725 330430330 462602462 608687450 660860660 826075825 925204924 1156506155 1217374900 1652151650 2313012310 3304303300 4626024620 5782530775 11565061550 23130123100