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10002000020 = 2254130114051
BaseRepresentation
bin10010101000010101…
…00110100010010100
3221211001112020122012
421110022212202110
5130441003000040
64332253323352
7502600411625
oct112412464224
927731466565
1010002000020
114272960721
121b31796558
13c3523a90c
146ac523a4c
153d8155865
hex2542a6894

10002000020 has 48 divisors (see below), whose sum is σ = 21528956736. Its totient is φ = 3900960000.

The previous prime is 10001999983. The next prime is 10002000059. The reversal of 10002000020 is 2000020001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 10001999968 and 10002000013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2466995 + ... + 2471045.

It is an arithmetic number, because the mean of its divisors is an integer number (448519932).

Almost surely, 210002000020 is an apocalyptic number.

10002000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002000020 is an abundant number, since it is smaller than the sum of its proper divisors (11526956716).

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

10002000020 is a wasteful number, since it uses less digits than its factorization.

10002000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7112 (or 7110 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 10002000020 its reverse (2000020001), we get a palindrome (12002020021).

The spelling of 10002000020 in words is "ten billion, two million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 3011 4051 6022 8102 12044 15055 16204 20255 30110 40510 60220 81020 123451 166091 246902 332182 493804 617255 664364 830455 1234510 1660910 2469020 3321820 12197561 24395122 48790244 60987805 121975610 243951220 500100001 1000200002 2000400004 2500500005 5001000010 10002000020