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1110122130040 = 23571189245503
BaseRepresentation
bin10000001001111000011…
…011110110101001111000
310221010102022122020202221
4100021320123312221320
5121142012231130130
62205552201533424
7143126601261520
oct20117033665170
93833368566687
101110122130040
11398889002120
1215b1957a4274
13808b7b87031
143ba3193c680
151dd2443587a
hex102786f6a78

1110122130040 has 192 divisors, whose sum is σ = 3149561180160. Its totient is φ = 342116797440.

The previous prime is 1110122129953. The next prime is 1110122130053. The reversal of 1110122130040 is 400312210111.

It is a super-2 number, since 2×11101221300402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1110122129996 and 1110122130023.

It is a congruent number.

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, 24373929 + ... + 24419431.

It is an arithmetic number, because the mean of its divisors is an integer number (16403964480).

Almost surely, 21110122130040 is an apocalyptic number.

1110122130040 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 1110122130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574780590080).

1110122130040 is an abundant number, since it is smaller than the sum of its proper divisors (2039439050120).

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

1110122130040 is a wasteful number, since it uses less digits than its factorization.

1110122130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45710 (or 45617 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1110122130040 its reverse (400312210111), we get a palindrome (1510434340151).

The spelling of 1110122130040 in words is "one trillion, one hundred ten billion, one hundred twenty-two million, one hundred thirty thousand, forty".