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23123130120 = 23325487131891
BaseRepresentation
bin10101100010001111…
…101111011100001000
32012200111020201100200
4111202033233130020
5334324010130440
614342252532200
71446004235346
oct254217573410
965614221320
1023123130120
1198964499a2
124593a81060
132246740a1c
141194dc0996
15905032c30
hex5623ef708

23123130120 has 96 divisors (see below), whose sum is σ = 75305056320. Its totient is φ = 6153459840.

The previous prime is 23123130097. The next prime is 23123130137. The reversal of 23123130120 is 2103132132.

23123130120 is a `hidden beast` number, since 2 + 312 + 31 + 301 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23123130093 and 23123130102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109375 + ... + 241265.

It is an arithmetic number, because the mean of its divisors is an integer number (784427670).

Almost surely, 223123130120 is an apocalyptic number.

23123130120 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 23123130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37652528160).

23123130120 is an abundant number, since it is smaller than the sum of its proper divisors (52181926200).

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

23123130120 is a wasteful number, since it uses less digits than its factorization.

23123130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132395 (or 132388 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23123130120 its reverse (2103132132), we get a palindrome (25226262252).

The spelling of 23123130120 in words is "twenty-three billion, one hundred twenty-three million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 487 974 1461 1948 2435 2922 3896 4383 4870 5844 7305 8766 9740 11688 14610 17532 19480 21915 29220 35064 43830 58440 87660 131891 175320 263782 395673 527564 659455 791346 1055128 1187019 1318910 1582692 1978365 2374038 2637820 3165384 3956730 4748076 5275640 5935095 7913460 9496152 11870190 15826920 23740380 47480760 64230917 128461834 192692751 256923668 321154585 385385502 513847336 578078253 642309170 770771004 963463755 1156156506 1284618340 1541542008 1926927510 2312313012 2569236680 2890391265 3853855020 4624626024 5780782530 7707710040 11561565060 23123130120