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110672231040 = 273657247103
BaseRepresentation
bin110011100010010010…
…1000011101010000000
3101120122221022212000000
41213010211003222000
53303124042343130
6122501522000000
710665363304500
oct1470445035200
9346587285000
10110672231040
1142a32653258
1219547aa6000
13a589865957
1454dc5ada00
152d2b132260
hex19c4943a80

110672231040 has 1344 divisors, whose sum is σ = 475840085760. Its totient is φ = 24517914624.

The previous prime is 110672231017. The next prime is 110672231053. The reversal of 110672231040 is 40132276011.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1106722310402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 110672230995 and 110672231013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1074487629 + ... + 1074487731.

Almost surely, 2110672231040 is an apocalyptic number.

110672231040 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 110672231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237920042880).

110672231040 is an abundant number, since it is smaller than the sum of its proper divisors (365167854720).

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

110672231040 is an equidigital number, since it uses as much as digits as its factorization.

110672231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 110672231040 in words is "one hundred ten billion, six hundred seventy-two million, two hundred thirty-one thousand, forty".