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1012020022200 = 23352115311325603
BaseRepresentation
bin11101011101000010001…
…10000000101110111000
310120202012102012211010110
432232201012000232320
5113040104111202300
62052525433144320
7133054541153355
oct16564106005670
93522172184113
101012020022200
11360216a12540
1214417755b0a0
1374582620905
1436da699762c
151b4d1b3e550
hexeba1180bb8

1012020022200 has 384 divisors, whose sum is σ = 3518038759680. Its totient is φ = 238569676800.

The previous prime is 1012020022171. The next prime is 1012020022229. The reversal of 1012020022200 is 22200202101.

It is an interprime number because it is at equal distance from previous prime (1012020022171) and next prime (1012020022229).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39514599 + ... + 39540201.

It is an arithmetic number, because the mean of its divisors is an integer number (9161559270).

Almost surely, 21012020022200 is an apocalyptic number.

1012020022200 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 1012020022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759019379840).

1012020022200 is an abundant number, since it is smaller than the sum of its proper divisors (2506018737480).

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

1012020022200 is a wasteful number, since it uses less digits than its factorization.

1012020022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25799 (or 25790 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1012020022200 its reverse (22200202101), we get a palindrome (1034220224301).

The spelling of 1012020022200 in words is "one trillion, twelve billion, twenty million, twenty-two thousand, two hundred".