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100010000020 = 225710120873389
BaseRepresentation
bin101110100100100001…
…1110111111010010100
3100120010212110101200211
41131021003313322110
53114310030000040
6113535521215204
710140224655040
oct1351103677224
9316125411624
10100010000020
1139461046287
1217471191504
13957a901308
144baa505020
1529050628ea
hex17490f7e94

100010000020 has 96 divisors (see below), whose sum is σ = 242588183040. Its totient is φ = 33923366400.

The previous prime is 100009999967. The next prime is 100010000059. The reversal of 100010000020 is 20000010001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a junction number, because it is equal to n+sod(n) for n = 100009999964 and 100010000009.

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, 29508486 + ... + 29511874.

It is an arithmetic number, because the mean of its divisors is an integer number (2526960240).

Almost surely, 2100010000020 is an apocalyptic number.

100010000020 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 100010000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121294091520).

100010000020 is an abundant number, since it is smaller than the sum of its proper divisors (142578183020).

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

100010000020 is a wasteful number, since it uses less digits than its factorization.

100010000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5593 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 100010000020 its reverse (20000010001), we get a palindrome (120010010021).

The spelling of 100010000020 in words is "one hundred billion, ten million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2087 2828 3389 3535 4174 6778 7070 8348 10435 13556 14140 14609 16945 20870 23723 29218 33890 41740 47446 58436 67780 73045 94892 118615 146090 210787 237230 292180 342289 421574 474460 684578 843148 1053935 1369156 1475509 1711445 2107870 2396023 2951018 3422890 4215740 4792046 5902036 6845780 7072843 7377545 9584092 11980115 14145686 14755090 23960230 28291372 29510180 35364215 47920460 49509901 70728430 99019802 141456860 198039604 247549505 495099010 714357143 990198020 1428714286 2857428572 3571785715 5000500001 7143571430 10001000002 14287142860 20002000004 25002500005 50005000010 100010000020