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1000012100220 = 22325737155913759
BaseRepresentation
bin11101000110101010101…
…11011011001001111100
310112121012120012011212100
432203111113123021330
5112341011044201340
62043222121505100
7132151142413440
oct16432527331174
93477176164770
101000012100220
1135611483aa81
12141986042190
13733ba944333
1436587cb6820
151b02c856830
hexe8d55db27c

1000012100220 has 288 divisors, whose sum is σ = 3562946150400. Its totient is φ = 222237706752.

The previous prime is 1000012100173. The next prime is 1000012100221. The reversal of 1000012100220 is 220012100001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000012100221) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 72673701 + ... + 72687459.

It is an arithmetic number, because the mean of its divisors is an integer number (12371340800).

Almost surely, 21000012100220 is an apocalyptic number.

1000012100220 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 1000012100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781473075200).

1000012100220 is an abundant number, since it is smaller than the sum of its proper divisors (2562934050180).

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

1000012100220 is a wasteful number, since it uses less digits than its factorization.

1000012100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15377 (or 15372 counting only the distinct ones).

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

Adding to 1000012100220 its reverse (220012100001), we get a palindrome (1220024200221).

The spelling of 1000012100220 in words is "one trillion, twelve million, one hundred thousand, two hundred twenty".