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1010222100000 = 25325523371319
BaseRepresentation
bin11101011001101011110…
…11011110111000100000
310120120120010002220112100
432230311323132320200
5113022413324200000
62052031205330400
7132662150111601
oct16546573367040
93516503086470
101010222100000
1135a484047a23
12143955406a00
1374356caa519
1436c75ca1da8
151b428d96a00
hexeb35edee20

1010222100000 has 864 divisors, whose sum is σ = 3851101013760. Its totient is φ = 250525440000.

The previous prime is 1010222099927. The next prime is 1010222100101. The reversal of 1010222100000 is 12220101.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 143 ways as a sum of consecutive naturals, for example, 765899341 + ... + 765900659.

It is an arithmetic number, because the mean of its divisors is an integer number (4457292840).

Almost surely, 21010222100000 is an apocalyptic number.

1010222100000 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 1010222100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925550506880).

1010222100000 is an abundant number, since it is smaller than the sum of its proper divisors (2840878913760).

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

1010222100000 is a wasteful number, since it uses less digits than its factorization.

1010222100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1010222100000 its reverse (12220101), we get a palindrome (1010234320101).

It can be divided in two parts, 101022 and 2100000, that added together give a palindrome (2201022).

The spelling of 1010222100000 in words is "one trillion, ten billion, two hundred twenty-two million, one hundred thousand".