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1110023322120 = 2332529113940921
BaseRepresentation
bin10000001001110010100…
…010111011101000001000
310221010011102201021210100
4100021302202323220020
5121141311432301440
62205534312045400
7143124261363006
oct20116242735010
93833142637710
101110023322120
11398838255289
1215b168693860
13808a056cccb
143ba2277ba76
151dd1a919230
hex102728bba08

1110023322120 has 192 divisors, whose sum is σ = 3765005290800. Its totient is φ = 283269611520.

The previous prime is 1110023322103. The next prime is 1110023322137. The reversal of 1110023322120 is 212233200111.

It is an interprime number because it is at equal distance from previous prime (1110023322103) and next prime (1110023322137).

It can be written as a sum of positive squares in 8 ways, for example, as 405924442884 + 704098879236 = 637122^2 + 839106^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1110023322093 and 1110023322102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 709260 + ... + 1650180.

Almost surely, 21110023322120 is an apocalyptic number.

1110023322120 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 1110023322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882502645400).

1110023322120 is an abundant number, since it is smaller than the sum of its proper divisors (2654981968680).

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

1110023322120 is a wasteful number, since it uses less digits than its factorization.

1110023322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941080 (or 941073 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1110023322120 its reverse (212233200111), we get a palindrome (1322256522231).

The spelling of 1110023322120 in words is "one trillion, one hundred ten billion, twenty-three million, three hundred twenty-two thousand, one hundred twenty".