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230110113111000 = 23353367209001011
BaseRepresentation
bin110100010100100010101111…
…100011010001101111011000
31010011202022102102120102112220
4310110202233203101233120
5220130111002424023000
62133223043202504040
766316623055014123
oct6424425743215730
91104668372512486
10230110113111000
1167358172990481
1221984a6b365020
139b523a147c3c5
1440b75631d93ba
151b90a5ad551a0
hexd148af8d1bd8

230110113111000 has 128 divisors (see below), whose sum is σ = 719899805813760. Its totient is φ = 61195495728000.

The previous prime is 230110113110987. The next prime is 230110113111001. The reversal of 230110113111000 is 111311011032.

230110113111000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230110113111001) 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, 103399506 + ... + 105601505.

It is an arithmetic number, because the mean of its divisors is an integer number (5624217232920).

Almost surely, 2230110113111000 is an apocalyptic number.

230110113111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230110113111000 is an abundant number, since it is smaller than the sum of its proper divisors (489789692702760).

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

230110113111000 is a wasteful number, since it uses less digits than its factorization.

230110113111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209001402 (or 209001388 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 230110113111000 its reverse (111311011032), we get a palindrome (230221424122032).

The spelling of 230110113111000 in words is "two hundred thirty trillion, one hundred ten billion, one hundred thirteen million, one hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 367 375 500 600 734 750 1000 1101 1468 1500 1835 2202 2936 3000 3670 4404 5505 7340 8808 9175 11010 14680 18350 22020 27525 36700 44040 45875 55050 73400 91750 110100 137625 183500 220200 275250 367000 550500 1101000 209001011 418002022 627003033 836004044 1045005055 1254006066 1672008088 2090010110 2508012132 3135015165 4180020220 5016024264 5225025275 6270030330 8360040440 10450050550 12540060660 15675075825 20900101100 25080121320 26125126375 31350151650 41800202200 52250252750 62700303300 76703371037 78375379125 104500505500 125400606600 153406742074 156750758250 209001011000 230110113111 306813484148 313501516500 383516855185 460220226222 613626968296 627003033000 767033710370 920440452444 1150550565555 1534067420740 1840880904888 1917584275925 2301101131110 3068134841480 3835168551850 4602202262220 5752752827775 7670337103700 9204404524440 9587921379625 11505505655550 15340674207400 19175842759250 23011011311100 28763764138875 38351685518500 46022022622200 57527528277750 76703371037000 115055056555500 230110113111000