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20113102100 = 22527132396097
BaseRepresentation
bin10010101110110101…
…011001010100010100
31220220201100110011102
4102232311121110110
5312142423231400
613123445325232
71311264355430
oct225665312424
956821313142
1020113102100
11859135a333
123a93a06818
131b86c57c60
14d8b3279c0
157cab5c9d5
hex4aed59514

20113102100 has 144 divisors (see below), whose sum is σ = 56053579008. Its totient is φ = 6088642560.

The previous prime is 20113102081. The next prime is 20113102103. The reversal of 20113102100 is 120131102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20113102103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 161252 + ... + 257348.

Almost surely, 220113102100 is an apocalyptic number.

20113102100 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 20113102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28026789504).

20113102100 is an abundant number, since it is smaller than the sum of its proper divisors (35940476908).

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

20113102100 is a wasteful number, since it uses less digits than its factorization.

20113102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96154 (or 96147 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 20113102100 its reverse (120131102), we get a palindrome (20233233202).

The spelling of 20113102100 in words is "twenty billion, one hundred thirteen million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 23 25 26 28 35 46 50 52 65 70 91 92 100 115 130 140 161 175 182 230 260 299 322 325 350 364 455 460 575 598 644 650 700 805 910 1150 1196 1300 1495 1610 1820 2093 2275 2300 2990 3220 4025 4186 4550 5980 7475 8050 8372 9100 10465 14950 16100 20930 29900 41860 52325 96097 104650 192194 209300 384388 480485 672679 960970 1249261 1345358 1921940 2210231 2402425 2498522 2690716 3363395 4420462 4804850 4997044 6246305 6726790 8744827 8840924 9609700 11051155 12492610 13453580 15471617 16816975 17489654 22102310 24985220 28733003 30943234 31231525 33633950 34979308 43724135 44204620 55255775 57466006 61886468 62463050 67267900 77358085 87448270 110511550 114932012 124926100 143665015 154716170 174896540 201131021 218620675 221023100 287330030 309432340 386790425 402262042 437241350 574660060 718325075 773580850 804524084 874482700 1005655105 1436650150 1547161700 2011310210 2873300300 4022620420 5028275525 10056551050 20113102100