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1000022201100 = 223552134397211
BaseRepresentation
bin11101000110101011111…
…01111101001100001100
310112121020021012100200000
432203111331331030030
5112341021140413400
62043223122204300
7132151324313166
oct16432575751414
93477207170600
101000022201100
1135611a509a0a
121419894b3690
13733bca6caa0
1436589385936
151b02d69e600
hexe8d5f7d30c

1000022201100 has 432 divisors, whose sum is σ = 3509114568960. Its totient is φ = 245564524800.

The previous prime is 1000022201093. The next prime is 1000022201179. The reversal of 1000022201100 is 11022200001.

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, 138676495 + ... + 138683705.

Almost surely, 21000022201100 is an apocalyptic number.

1000022201100 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 1000022201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754557284480).

1000022201100 is an abundant number, since it is smaller than the sum of its proper divisors (2509092367860).

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

1000022201100 is a wasteful number, since it uses less digits than its factorization.

1000022201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7692 (or 7673 counting only the distinct ones).

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

Adding to 1000022201100 its reverse (11022200001), we get a palindrome (1011044401101).

The spelling of 1000022201100 in words is "one trillion, twenty-two million, two hundred one thousand, one hundred".