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1020012202200 = 2335228347912541
BaseRepresentation
bin11101101011111010111…
…01110000100011011000
310121111211101220122000010
432311331131300203120
5113202441110432300
62100330453241520
7133456565443605
oct16657535604330
93544741818003
101020012202200
11363648329682
121458280332a0
13752573564c4
14375241c76ac
151b7ed5e2a50
hexed7d7708d8

1020012202200 has 192 divisors, whose sum is σ = 3180089318400. Its totient is φ = 270454694400.

The previous prime is 1020012202163. The next prime is 1020012202213. The reversal of 1020012202200 is 22022100201.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81327930 + ... + 81340470.

It is an arithmetic number, because the mean of its divisors is an integer number (16562965200).

Almost surely, 21020012202200 is an apocalyptic number.

1020012202200 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 1020012202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590044659200).

1020012202200 is an abundant number, since it is smaller than the sum of its proper divisors (2160077116200).

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

1020012202200 is a wasteful number, since it uses less digits than its factorization.

1020012202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13322 (or 13313 counting only the distinct ones).

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

Adding to 1020012202200 its reverse (22022100201), we get a palindrome (1042034302401).

The spelling of 1020012202200 in words is "one trillion, twenty billion, twelve million, two hundred two thousand, two hundred".