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107011296140 = 2257764366401
BaseRepresentation
bin110001110101001011…
…1101100101110001100
3101020012210122002102112
41203222113230232030
53223124342434030
6121054343243152
710505561003060
oct1435227545614
9336183562375
10107011296140
11414240a5721
12188a5a494b8
13a12526c198
1452722bbaa0
152bb4a35a95
hex18ea5ecb8c

107011296140 has 24 divisors (see below), whose sum is σ = 256827111072. Its totient is φ = 36689587200.

The previous prime is 107011296121. The next prime is 107011296149. The reversal of 107011296140 is 41692110701.

It is a happy number.

107011296140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1070112961402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107011296097 and 107011296106.

It is not an unprimeable number, because it can be changed into a prime (107011296149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382183061 + ... + 382183340.

It is an arithmetic number, because the mean of its divisors is an integer number (10701129628).

Almost surely, 2107011296140 is an apocalyptic number.

107011296140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107011296140 is an abundant number, since it is smaller than the sum of its proper divisors (149815814932).

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

107011296140 is a wasteful number, since it uses less digits than its factorization.

107011296140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764366417 (or 764366415 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The spelling of 107011296140 in words is "one hundred seven billion, eleven million, two hundred ninety-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 764366401 1528732802 3057465604 3821832005 5350564807 7643664010 10701129614 15287328020 21402259228 26752824035 53505648070 107011296140