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109301373792 = 2532131713113109
BaseRepresentation
bin110010111001011011…
…1101001101101100000
3101110010101211002101100
41211302313221231200
53242322122430132
6122113511434400
710616406230232
oct1456267515540
9343111732340
10109301373792
1142399859986
1219224985a00
13a3cb84bc10
14540c4c6252
152c9aae737c
hex1972de9b60

109301373792 has 288 divisors, whose sum is σ = 357158561760. Its totient is φ = 31408865280.

The previous prime is 109301373767. The next prime is 109301373793. The reversal of 109301373792 is 297373103901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109301373793) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8331334 + ... + 8344442.

It is an arithmetic number, because the mean of its divisors is an integer number (1240133895).

Almost surely, 2109301373792 is an apocalyptic number.

109301373792 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 109301373792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178579280880).

109301373792 is an abundant number, since it is smaller than the sum of its proper divisors (247857187968).

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

109301373792 is a wasteful number, since it uses less digits than its factorization.

109301373792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13286 (or 13275 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 45.

The spelling of 109301373792 in words is "one hundred nine billion, three hundred one million, three hundred seventy-three thousand, seven hundred ninety-two".