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23103011011000 = 2353372437256219
BaseRepresentation
bin1010100000011000101101…
…10000111011100110111000
310000210121220120010022221111
411100030112300323212320
511012004431304323000
6121045213213050104
74603065102310144
oct520142660734670
9100717816108844
1023103011011000
1173a7a2846aa58
122711627786934
13cb77b239168b
1459c298046224
152a0e67d30cba
hex150316c3b9b8

23103011011000 has 128 divisors (see below), whose sum is σ = 55545154891200. Its totient is φ = 8987717491200.

The previous prime is 23103011010983. The next prime is 23103011011033. The reversal of 23103011011000 is 11011030132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90040891 + ... + 90297109.

Almost surely, 223103011011000 is an apocalyptic number.

23103011011000 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 23103011011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27772577445600).

23103011011000 is an abundant number, since it is smaller than the sum of its proper divisors (32442143880200).

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

23103011011000 is a wasteful number, since it uses less digits than its factorization.

23103011011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258714 (or 258700 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 23103011011000 its reverse (11011030132), we get a palindrome (23114022041132).

The spelling of 23103011011000 in words is "twenty-three trillion, one hundred three billion, eleven million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 740 925 1000 1480 1850 2437 3700 4625 4874 7400 9250 9748 12185 18500 19496 24370 37000 48740 60925 90169 97480 121850 180338 243700 256219 304625 360676 450845 487400 512438 609250 721352 901690 1024876 1218500 1281095 1803380 2049752 2254225 2437000 2562190 3606760 4508450 5124380 6405475 9016900 9480103 10248760 11271125 12810950 18033800 18960206 22542250 25621900 32027375 37920412 45084500 47400515 51243800 64054750 75840824 90169000 94801030 128109500 189602060 237002575 256219000 379204120 474005150 624405703 948010300 1185012875 1248811406 1896020600 2370025750 2497622812 3122028515 4740051500 4995245624 6244057030 9480103000 12488114060 15610142575 23103011011 24976228120 31220285150 46206022022 62440570300 78050712875 92412044044 115515055055 124881140600 156101425750 184824088088 231030110110 312202851500 462060220220 577575275275 624405703000 924120440440 1155150550550 2310301101100 2887876376375 4620602202200 5775752752750 11551505505500 23103011011000