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1001055600020 = 2257283110322907
BaseRepresentation
bin11101001000100111001…
…00000011110110010100
310112200220021201110111002
432210103210003312110
5112400130213200040
62043513435402432
7132216043130060
oct16442344036624
93480807643432
101001055600020
113565aa874903
121420175b3418
1373525ba2038
1436646708aa0
151b08e27ba15
hexe913903d94

1001055600020 has 96 divisors (see below), whose sum is σ = 2413314183168. Its totient is φ = 341681288832.

The previous prime is 1001055600007. The next prime is 1001055600031. The reversal of 1001055600020 is 200065501001.

It is a super-2 number, since 2×10010556000202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1001055599965 and 1001055600001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43689407 + ... + 43712313.

It is an arithmetic number, because the mean of its divisors is an integer number (25138689408).

Almost surely, 21001055600020 is an apocalyptic number.

1001055600020 is a gapful number since it is divisible by the number (10) 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 1001055600020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206657091584).

1001055600020 is an abundant number, since it is smaller than the sum of its proper divisors (1412258583148).

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

1001055600020 is a wasteful number, since it uses less digits than its factorization.

1001055600020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24309 (or 24307 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 1001055600020 in words is "one trillion, one billion, fifty-five million, six hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 283 566 1103 1132 1415 1981 2206 2830 3962 4412 5515 5660 7721 7924 9905 11030 15442 19810 22060 22907 30884 38605 39620 45814 77210 91628 114535 154420 160349 229070 312149 320698 458140 624298 641396 801745 1248596 1560745 1603490 2185043 3121490 3206980 4370086 6242980 6482681 8740172 10925215 12965362 21850430 25266421 25930724 32413405 43700860 45378767 50532842 64826810 90757534 101065684 126332105 129653620 176864947 181515068 226893835 252664210 353729894 453787670 505328420 707459788 884324735 907575340 1768649470 3537298940 7150397143 14300794286 28601588572 35751985715 50052780001 71503971430 100105560002 143007942860 200211120004 250263900005 500527800010 1001055600020