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1106302525380 = 22325131721635913
BaseRepresentation
bin10000000110010100110…
…001001101111111000100
310220202120010101020012200
4100012110301031333010
5121111201421303010
62204121154314500
7142633131211053
oct20062461157704
93822503336180
101106302525380
113971a8a30658
1215a4aa588a30
1380429747430
143b78c54639a
151db9de45cc0
hex10194c4dfc4

1106302525380 has 216 divisors, whose sum is σ = 3839012471112. Its totient is φ = 256301604864.

The previous prime is 1106302525373. The next prime is 1106302525421. The reversal of 1106302525380 is 835252036011.

1106302525380 is a `hidden beast` number, since 1 + 10 + 63 + 0 + 2 + 52 + 538 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 814303296 + 1105488222084 = 28536^2 + 1051422^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141697 + ... + 1494216.

Almost surely, 21106302525380 is an apocalyptic number.

1106302525380 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 1106302525380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919506235556).

1106302525380 is an abundant number, since it is smaller than the sum of its proper divisors (2732709945732).

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

1106302525380 is a wasteful number, since it uses less digits than its factorization.

1106302525380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635975 (or 1635953 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1106302525380 in words is "one trillion, one hundred six billion, three hundred two million, five hundred twenty-five thousand, three hundred eighty".