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100430399412 = 223272433833457
BaseRepresentation
bin101110110001000011…
…1100100011110110100
3100121020011111220020200
41131202013210132310
53121140140240122
6114045340000500
710153521211200
oct1354207443664
9317204456220
10100430399412
11396573845a2
1217569b30130
139616a35a55
144c0a299b00
15292be055ac
hex17621e47b4

100430399412 has 216 divisors, whose sum is σ = 303057570816. Its totient is φ = 27945824256.

The previous prime is 100430399411. The next prime is 100430399413. The reversal of 100430399412 is 214993034001.

100430399412 is a `hidden beast` number, since 100 + 430 + 39 + 94 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (100430399411) and next prime (100430399413).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100430399411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29049588 + ... + 29053044.

Almost surely, 2100430399412 is an apocalyptic number.

100430399412 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 100430399412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151528785408).

100430399412 is an abundant number, since it is smaller than the sum of its proper divisors (202627171404).

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

100430399412 is a wasteful number, since it uses less digits than its factorization.

100430399412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 100430399412 in words is "one hundred billion, four hundred thirty million, three hundred ninety-nine thousand, four hundred twelve".