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109921986720 = 253257137311491
BaseRepresentation
bin110011001011111011…
…1000110100010100000
3101111201122121111021100
41212113313012202200
53300110012033340
6122255241354400
710640653320330
oct1462767064240
9344648544240
10109921986720
1142688106627
1219378798a00
13a49a2b3bc0
14546aab70c0
152cd5337830
hex1997dc68a0

109921986720 has 576 divisors, whose sum is σ = 468037350144. Its totient is φ = 22872637440.

The previous prime is 109921986719. The next prime is 109921986721. The reversal of 109921986720 is 27689129901.

It is an interprime number because it is at equal distance from previous prime (109921986719) and next prime (109921986721).

It is not an unprimeable number, because it can be changed into a prime (109921986721) 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, 9560175 + ... + 9571665.

It is an arithmetic number, because the mean of its divisors is an integer number (812564844).

Almost surely, 2109921986720 is an apocalyptic number.

109921986720 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 109921986720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234018675072).

109921986720 is an abundant number, since it is smaller than the sum of its proper divisors (358115363424).

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

109921986720 is a wasteful number, since it uses less digits than its factorization.

109921986720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11605 (or 11594 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 109921986720 in words is "one hundred nine billion, nine hundred twenty-one million, nine hundred eighty-six thousand, seven hundred twenty".