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23014123000 = 2353119721569
BaseRepresentation
bin10101011011101111…
…111010010111111000
32012101220010120200221
4111123233322113320
5334113103414000
614323400305424
71443211550341
oct253357722770
965356116627
1023014123000
11983a966270
124563472274
132229c9557b
1411847270c8
158ea69e61a
hex55bbfa5f8

23014123000 has 128 divisors (see below), whose sum is σ = 59357188800. Its totient is φ = 8282112000.

The previous prime is 23014122919. The next prime is 23014123019. The reversal of 23014123000 is 32141032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1056216 + ... + 1077784.

Almost surely, 223014123000 is an apocalyptic number.

23014123000 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 23014123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29678594400).

23014123000 is an abundant number, since it is smaller than the sum of its proper divisors (36343065800).

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

23014123000 is a wasteful number, since it uses less digits than its factorization.

23014123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21698 (or 21684 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23014123000 its reverse (32141032), we get a palindrome (23046264032).

The spelling of 23014123000 in words is "twenty-three billion, fourteen million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 97 100 110 125 194 200 220 250 275 388 440 485 500 550 776 970 1000 1067 1100 1375 1940 2134 2200 2425 2750 3880 4268 4850 5335 5500 8536 9700 10670 11000 12125 19400 21340 21569 24250 26675 42680 43138 48500 53350 86276 97000 106700 107845 133375 172552 213400 215690 237259 266750 431380 474518 533500 539225 862760 949036 1067000 1078450 1186295 1898072 2092193 2156900 2372590 2696125 4184386 4313800 4745180 5392250 5931475 8368772 9490360 10460965 10784500 11862950 16737544 20921930 21569000 23014123 23725900 29657375 41843860 46028246 47451800 52304825 59314750 83687720 92056492 104609650 115070615 118629500 184112984 209219300 230141230 237259000 261524125 418438600 460282460 523048250 575353075 920564920 1046096500 1150706150 2092193000 2301412300 2876765375 4602824600 5753530750 11507061500 23014123000