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1110102101992 = 231316774878537
BaseRepresentation
bin10000001001110111001…
…111011100111111101000
310221010100220221201110101
4100021313033130333220
5121141442114230432
62205550204355144
7143126236114642
oct20116717347750
93833326851411
101110102101992
11398878772814
1215b18ab45ab4
13808b3993c10
143ba2d007892
151dd227cb4e7
hex102773dcfe8

1110102101992 has 64 divisors (see below), whose sum is σ = 2255540152320. Its totient is φ = 509159152128.

The previous prime is 1110102101971. The next prime is 1110102102001. The reversal of 1110102101992 is 2991012010111.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1110102101992.

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 15 ways as a sum of consecutive naturals, for example, 130029948 + ... + 130038484.

It is an arithmetic number, because the mean of its divisors is an integer number (35242814880).

Almost surely, 21110102101992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110102101992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127770076160).

1110102101992 is an abundant number, since it is smaller than the sum of its proper divisors (1145438050328).

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

1110102101992 is a wasteful number, since it uses less digits than its factorization.

1110102101992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16210 (or 16206 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 28.

The spelling of 1110102101992 in words is "one trillion, one hundred ten billion, one hundred two million, one hundred one thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 26 52 104 167 334 668 1336 2171 4342 7487 8537 8684 14974 17074 17368 29948 34148 59896 68296 97331 110981 194662 221962 389324 443924 778648 887848 1250329 1425679 2500658 2851358 5001316 5702716 10002632 11405432 16254277 18533827 32508554 37067654 63916519 65017108 74135308 127833038 130034216 148270616 255666076 511332152 830914747 1661829494 3323658988 6647317976 10674058673 21348117346 42696234692 85392469384 138762762749 277525525498 555051050996 1110102101992