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1012020000000 = 28357101167
BaseRepresentation
bin11101011101000010001…
…01111011010100000000
310120202012102011200200020
432232201011323110000
5113040104110000000
62052525432453440
7133054541031552
oct16564105732400
93522172150606
101012020000000
113602169a7899
1214417754a280
1374582613789
1436da698d4d2
151b4d1b37ba0
hexeba117b500

1012020000000 has 576 divisors, whose sum is σ = 3420497493504. Its totient is φ = 265600000000.

The previous prime is 1012019999989. The next prime is 1012020000023. The reversal of 1012020000000 is 202101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6059999917 + ... + 6060000083.

It is an arithmetic number, because the mean of its divisors is an integer number (5938363704).

Almost surely, 21012020000000 is an apocalyptic number.

1012020000000 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 1012020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710248746752).

1012020000000 is an abundant number, since it is smaller than the sum of its proper divisors (2408477493504).

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

1012020000000 is an frugal number, since it uses more digits than its factorization.

1012020000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1012020000000 its reverse (202101), we get a palindrome (1012020202101).

The spelling of 1012020000000 in words is "one trillion, twelve billion, twenty million", and thus it is an aban number and an uban number.