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20587985100 = 22325259387721
BaseRepresentation
bin10011001011001000…
…111011100011001100
31222010210221000011200
4103023020323203030
5314131011010400
613242531545500
71326121662114
oct231310734314
958123830150
1020587985100
118805420a21
123ba6a5b290
131c31457807
14dd4422044
158076b3b00
hex4cb23b8cc

20587985100 has 108 divisors (see below), whose sum is σ = 65625825720. Its totient is φ = 5397062400.

The previous prime is 20587985087. The next prime is 20587985111. The reversal of 20587985100 is 158978502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 140761 + ... + 246960.

Almost surely, 220587985100 is an apocalyptic number.

20587985100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20587985100 is an abundant number, since it is smaller than the sum of its proper divisors (45037840620).

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

20587985100 is a wasteful number, since it uses less digits than its factorization.

20587985100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387800 (or 387790 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 20587985100 in words is "twenty billion, five hundred eighty-seven million, nine hundred eighty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 59 60 75 90 100 118 150 177 180 225 236 295 300 354 450 531 590 708 885 900 1062 1180 1475 1770 2124 2655 2950 3540 4425 5310 5900 8850 10620 13275 17700 26550 53100 387721 775442 1163163 1550884 1938605 2326326 3489489 3877210 4652652 5815815 6978978 7754420 9693025 11631630 13957956 17447445 19386050 22875539 23263260 29079075 34894890 38772100 45751078 58158150 68626617 69789780 87237225 91502156 114377695 116316300 137253234 174474450 205879851 228755390 274506468 343133085 348948900 411759702 457510780 571888475 686266170 823519404 1029399255 1143776950 1372532340 1715665425 2058798510 2287553900 3431330850 4117597020 5146996275 6862661700 10293992550 20587985100