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2001002100020 = 2257111299352013
BaseRepresentation
bin11101000111100101000…
…001001111010100110100
321002021221021110210202122
4131013211001033110310
5230241023014200040
64131125255255112
7264365461133330
oct35074501172464
97067837423678
102001002100020
11701690579420
1228398367a498
13116903058371
146cbc59c67c0
15370b5e761b5
hex1d1e504f534

2001002100020 has 48 divisors (see below), whose sum is σ = 5238987320448. Its totient is φ = 623688965760.

The previous prime is 2001002099963. The next prime is 2001002100023. The reversal of 2001002100020 is 200012001002.

It is a junction number, because it is equal to n+sod(n) for n = 2001002099980 and 2001002100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001002100023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649674467 + ... + 649677546.

It is an arithmetic number, because the mean of its divisors is an integer number (109145569176).

Almost surely, 22001002100020 is an apocalyptic number.

2001002100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001002100020 is an abundant number, since it is smaller than the sum of its proper divisors (3237985220428).

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

2001002100020 is a wasteful number, since it uses less digits than its factorization.

2001002100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299352040 (or 1299352038 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 2001002100020 its reverse (200012001002), we get a palindrome (2201014101022).

The spelling of 2001002100020 in words is "two trillion, one billion, two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 1299352013 2598704026 5197408052 6496760065 9095464091 12993520130 14292872143 18190928182 25987040260 28585744286 36381856364 45477320455 57171488572 71464360715 90954640910 100050105001 142928721430 181909281820 200100210002 285857442860 400200420004 500250525005 1000501050010 2001002100020