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110011120002 = 233722313113799
BaseRepresentation
bin110011001110100101…
…1000111100110000010
3101111221212022221011000
41212131023013212002
53300300321320002
6122312144032430
710643115043200
oct1463513074602
9344855287130
10110011120002
11427234557a3
12193a2602716
13a4b28c14a4
14547887a070
152cdd09261c
hex199d2c7982

110011120002 has 192 divisors, whose sum is σ = 299033856000. Its totient is φ = 29833483680.

The previous prime is 110011119973. The next prime is 110011120003. The reversal of 110011120002 is 200021110011.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (110011120003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7965499 + ... + 7979297.

It is an arithmetic number, because the mean of its divisors is an integer number (1557468000).

Almost surely, 2110011120002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110011120002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149516928000).

110011120002 is an abundant number, since it is smaller than the sum of its proper divisors (189022735998).

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

110011120002 is a wasteful number, since it uses less digits than its factorization.

110011120002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13978 (or 13965 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110011120002 its reverse (200021110011), we get a palindrome (310032230013).

Subtracting 110011120002 from its reverse (200021110011), we obtain a palindrome (90009990009).

The spelling of 110011120002 in words is "one hundred ten billion, eleven million, one hundred twenty thousand, two".