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20524070100 = 22352433157999
BaseRepresentation
bin10011000111010101…
…000111010011010100
31221222100122210021110
4103013111013103110
5314013130220400
613232330015020
71324414501032
oct230725072324
957870583243
1020524070100
118782336706
123b89577470
131c211398a1
14dc9b45552
15801c8ae50
hex4c75474d4

20524070100 has 72 divisors (see below), whose sum is σ = 59520496000. Its totient is φ = 5460410880.

The previous prime is 20524070069. The next prime is 20524070111. The reversal of 20524070100 is 107042502.

It is a congruent number.

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, 50901 + ... + 208899.

Almost surely, 220524070100 is an apocalyptic number.

20524070100 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 20524070100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29760248000).

20524070100 is an abundant number, since it is smaller than the sum of its proper divisors (38996425900).

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

20524070100 is a wasteful number, since it uses less digits than its factorization.

20524070100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158449 (or 158442 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The spelling of 20524070100 in words is "twenty billion, five hundred twenty-four million, seventy thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 433 866 1299 1732 2165 2598 4330 5196 6495 8660 10825 12990 21650 25980 32475 43300 64950 129900 157999 315998 473997 631996 789995 947994 1579990 1895988 2369985 3159980 3949975 4739970 7899950 9479940 11849925 15799900 23699850 47399700 68413567 136827134 205240701 273654268 342067835 410481402 684135670 820962804 1026203505 1368271340 1710339175 2052407010 3420678350 4104814020 5131017525 6841356700 10262035050 20524070100