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103426394112 = 211321723113127
BaseRepresentation
bin110000001010010110…
…0011000100000000000
3100212221222000012100100
41200110230120200000
53143304124102422
6115302522322400
710321000562466
oct1402454304000
9325858005310
10103426394112
113a954559778
1218065359400
1399a3647192
14501213c836
152a54e577ac
hex1814b18800

103426394112 has 576 divisors, whose sum is σ = 335579811840. Its totient is φ = 30519853056.

The previous prime is 103426394111. The next prime is 103426394161. The reversal of 103426394112 is 211493624301.

103426394112 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 2 + 639 + 4 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103426394111) 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, 814380993 + ... + 814381119.

It is an arithmetic number, because the mean of its divisors is an integer number (582603840).

Almost surely, 2103426394112 is an apocalyptic number.

103426394112 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 103426394112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167789905920).

103426394112 is an abundant number, since it is smaller than the sum of its proper divisors (232153417728).

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

103426394112 is a wasteful number, since it uses less digits than its factorization.

103426394112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 103426394112 in words is "one hundred three billion, four hundred twenty-six million, three hundred ninety-four thousand, one hundred twelve".