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103420042812 = 22361918110313
BaseRepresentation
bin110000001010001010…
…0001001111000111100
3100212221112001112000000
41200110110021320330
53143301012332222
6115302134234300
710320562600542
oct1402424117074
9325845045000
10103420042812
113a950a10969
12180631b5990
1399a2232308
145011367d92
152a546009ac
hex1814509e3c

103420042812 has 168 divisors, whose sum is σ = 287241186960. Its totient is φ = 32475375360.

The previous prime is 103420042811. The next prime is 103420042837. The reversal of 103420042812 is 218240024301.

103420042812 is a `hidden beast` number, since 1 + 0 + 34 + 200 + 428 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103420042811) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10022968 + ... + 10033280.

It is an arithmetic number, because the mean of its divisors is an integer number (1709768970).

Almost surely, 2103420042812 is an apocalyptic number.

103420042812 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 103420042812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143620593480).

103420042812 is an abundant number, since it is smaller than the sum of its proper divisors (183821144148).

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

103420042812 is a wasteful number, since it uses less digits than its factorization.

103420042812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10535 (or 10518 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 103420042812 in words is "one hundred three billion, four hundred twenty million, forty-two thousand, eight hundred twelve".