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110012111012020 = 225729281145166457
BaseRepresentation
bin11001000000111000110000…
…110011000100000010110100
3112102112001111011112221022211
4121000320300303010002310
5103404414300404341040
61025550511024503204
732113053444441520
oct3100706063040264
9472461434487284
10110012111012020
1132064968724838
121040910147ab04
134950136433b69
141d248865b8d80
15caba02ab08ea
hex640e30cc40b4

110012111012020 has 192 divisors, whose sum is σ = 274298557800960. Its totient is φ = 36262646784000.

The previous prime is 110012111012017. The next prime is 110012111012021. The reversal of 110012111012020 is 20210111210011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110012111012021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1655354632 + ... + 1655421088.

It is an arithmetic number, because the mean of its divisors is an integer number (1428638321880).

Almost surely, 2110012111012020 is an apocalyptic number.

110012111012020 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 110012111012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137149278900480).

110012111012020 is an abundant number, since it is smaller than the sum of its proper divisors (164286446788940).

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

110012111012020 is a wasteful number, since it uses less digits than its factorization.

110012111012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68234 (or 68232 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110012111012020 its reverse (20210111210011), we get a palindrome (130222222222031).

The spelling of 110012111012020 in words is "one hundred ten trillion, twelve billion, one hundred eleven million, twelve thousand, twenty".