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2000120211020 = 225172659525101
BaseRepresentation
bin11101000110110000011…
…101000110011001001100
321002012122211001012111002
4131012300131012121030
5230232221233223040
64130501553315432
7264334562165351
oct35066035063114
97065584035432
102000120211020
11701278797138
12283778265b78
131167c2433359
146cb40822628
1537063825a15
hex1d1b074664c

2000120211020 has 72 divisors (see below), whose sum is σ = 4468639024080. Its totient is φ = 751842380800.

The previous prime is 2000120211013. The next prime is 2000120211031. The reversal of 2000120211020 is 201120210002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2000120210992 and 2000120211010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3546470 + ... + 4071570.

It is an arithmetic number, because the mean of its divisors is an integer number (62064430890).

Almost surely, 22000120211020 is an apocalyptic number.

2000120211020 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 2000120211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234319512040).

2000120211020 is an abundant number, since it is smaller than the sum of its proper divisors (2468518813060).

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

2000120211020 is a wasteful number, since it uses less digits than its factorization.

2000120211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525803 (or 525784 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2000120211020 its reverse (201120210002), we get a palindrome (2201240421022).

The spelling of 2000120211020 in words is "two trillion, one hundred twenty million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 659 1156 1318 1445 2636 2890 3295 5780 6590 11203 13180 22406 44812 56015 112030 190451 224060 380902 525101 761804 952255 1050202 1904510 2100404 2625505 3809020 5251010 8926717 10502020 17853434 35706868 44633585 89267170 151754189 178534340 303508378 346041559 607016756 692083118 758770945 1384166236 1517541890 1730207795 3035083780 3460415590 5882706503 6920831180 11765413006 23530826012 29413532515 58827065030 100006010551 117654130060 200012021102 400024042204 500030052755 1000060105510 2000120211020