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12110502432 = 2537172346091
BaseRepresentation
bin10110100011101011…
…11001101000100000
31011021000001021012010
423101311321220200
5144300242034212
65321414032520
7606052400160
oct132165715040
934230037163
1012110502432
1151550767a6
12241b948740
1311b0014792
1482c5845a0
154ad2ec03c
hex2d1d79a20

12110502432 has 192 divisors, whose sum is σ = 40142075904. Its totient is φ = 3114946560.

The previous prime is 12110502431. The next prime is 12110502479. The reversal of 12110502432 is 23420501121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12110502399 and 12110502408.

It is not an unprimeable number, because it can be changed into a prime (12110502431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239707 + ... + 285797.

It is an arithmetic number, because the mean of its divisors is an integer number (209073312).

Almost surely, 212110502432 is an apocalyptic number.

12110502432 is a gapful number since it is divisible by the number (12) 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 12110502432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20071037952).

12110502432 is an abundant number, since it is smaller than the sum of its proper divisors (28031573472).

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

12110502432 is a wasteful number, since it uses less digits than its factorization.

12110502432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46151 (or 46143 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 12110502432 in words is "twelve billion, one hundred ten million, five hundred two thousand, four hundred thirty-two".