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1010222000100 = 22325237671134007
BaseRepresentation
bin11101011001101011110…
…11000110011111100100
310120120120002220211111100
432230311323012133210
5113022413313000400
62052031203240100
7132662146214415
oct16546573063744
93516502824440
101010222000100
1135a483a89965
12143955379030
1374356c73c01
1436c75c7780c
151b428d77100
hexeb35ec67e4

1010222000100 has 432 divisors, whose sum is σ = 3330643575168. Its totient is φ = 255850721280.

The previous prime is 1010222000093. The next prime is 1010222000119. The reversal of 1010222000100 is 10002220101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 252112297 + ... + 252116303.

Almost surely, 21010222000100 is an apocalyptic number.

1010222000100 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 1010222000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665321787584).

1010222000100 is an abundant number, since it is smaller than the sum of its proper divisors (2320421575068).

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

1010222000100 is a wasteful number, since it uses less digits than its factorization.

1010222000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4234 counting only the distinct ones).

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

Adding to 1010222000100 its reverse (10002220101), we get a palindrome (1020224220201).

The spelling of 1010222000100 in words is "one trillion, ten billion, two hundred twenty-two million, one hundred", and thus it is an aban number.