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23506900100 = 22523171106801
BaseRepresentation
bin10101111001000111…
…101101010010000100
32020200020101020210122
4111321013231102010
5341120231300400
614444322241112
71461344232305
oct257107552204
966606336718
1023506900100
119a73039a72
1246804b6198
1322a80bbb58
1411cdd5c7ac
15928a8c685
hex5791ed484

23506900100 has 72 divisors (see below), whose sum is σ = 53397582336. Its totient is φ = 8971200000.

The previous prime is 23506900099. The next prime is 23506900129. The reversal of 23506900100 is 100960532.

It is a super-2 number, since 2×235069001002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23506900100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166700 + ... + 273500.

It is an arithmetic number, because the mean of its divisors is an integer number (741633088).

Almost surely, 223506900100 is an apocalyptic number.

23506900100 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 23506900100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26698791168).

23506900100 is an abundant number, since it is smaller than the sum of its proper divisors (29890682236).

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

23506900100 is a wasteful number, since it uses less digits than its factorization.

23506900100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106917 (or 106910 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The spelling of 23506900100 in words is "twenty-three billion, five hundred six million, nine hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 71 100 124 142 155 284 310 355 620 710 775 1420 1550 1775 2201 3100 3550 4402 7100 8804 11005 22010 44020 55025 106801 110050 213602 220100 427204 534005 1068010 2136020 2670025 3310831 5340050 6621662 7582871 10680100 13243324 15165742 16554155 30331484 33108310 37914355 66216620 75828710 82770775 151657420 165541550 189571775 235069001 331083100 379143550 470138002 758287100 940276004 1175345005 2350690010 4701380020 5876725025 11753450050 23506900100