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20065113637100 = 22527432591257281
BaseRepresentation
bin1001000111111110001011…
…11110001000000011101100
32122001012120021020222202122
410203333011332020003230
510112221323042341400
6110401441433212112
74140441135554360
oct443770576100354
978035507228678
1020065113637100
116436626608364
122300905b61038
13b271942a949c
144d5229d132a0
1524be164da685
hex123fc5f880ec

20065113637100 has 144 divisors (see below), whose sum is σ = 50938575722496. Its totient is φ = 6716860416000.

The previous prime is 20065113637091. The next prime is 20065113637183. The reversal of 20065113637100 is 173631156002.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 47 ways as a sum of consecutive naturals, for example, 77860460 + ... + 78117740.

It is an arithmetic number, because the mean of its divisors is an integer number (353740109184).

Almost surely, 220065113637100 is an apocalyptic number.

20065113637100 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 20065113637100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25469287861248).

20065113637100 is an abundant number, since it is smaller than the sum of its proper divisors (30873462085396).

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

20065113637100 is a wasteful number, since it uses less digits than its factorization.

20065113637100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259936 (or 259929 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 20065113637100 in words is "twenty trillion, sixty-five billion, one hundred thirteen million, six hundred thirty-seven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 140 172 175 215 301 350 430 602 700 860 1075 1204 1505 2150 2591 3010 4300 5182 6020 7525 10364 12955 15050 18137 25910 30100 36274 51820 64775 72548 90685 111413 129550 181370 222826 257281 259100 362740 445652 453425 514562 557065 779891 906850 1029124 1114130 1286405 1559782 1800967 1813700 2228260 2572810 2785325 3119564 3601934 3899455 5145620 5570650 6432025 7203868 7798910 9004835 11063083 11141300 12864050 15597820 18009670 19497275 22126166 25728100 36019340 38994550 44252332 45024175 55315415 77441581 77989100 90048350 110630830 154883162 180096700 221261660 276577075 309766324 387207905 553154150 666615071 774415810 1106308300 1333230142 1548831620 1936039525 2666460284 3333075355 3872079050 4666305497 6666150710 7744158100 9332610994 13332301420 16665376775 18665221988 23331527485 28664448053 33330753550 46663054970 57328896106 66661507100 93326109940 114657792212 116657637425 143322240265 200651136371 233315274850 286644480530 401302272742 466630549700 573288961060 716611201325 802604545484 1003255681855 1433222402650 2006511363710 2866444805300 4013022727420 5016278409275 10032556818550 20065113637100