Search a number
-
+
30212400996 = 22322336488407
BaseRepresentation
bin11100001000110011…
…001010011101100100
32212222112221222202200
4130020303022131210
5443333333312441
621513540334500
72116456112511
oct341063123544
985875858680
1030212400996
11118a4127048
125a320a4430
132b063a1a6b
141668738308
15bbc5d27b6
hex708cca764

30212400996 has 36 divisors (see below), whose sum is σ = 79690683072. Its totient is φ = 9632939184.

The previous prime is 30212400979. The next prime is 30212400997. The reversal of 30212400996 is 69900421203.

30212400996 is a `hidden beast` number, since 30 + 212 + 400 + 9 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 30212400996.

It is not an unprimeable number, because it can be changed into a prime (30212400997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18243376 + ... + 18245031.

Almost surely, 230212400996 is an apocalyptic number.

30212400996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30212400996 is an abundant number, since it is smaller than the sum of its proper divisors (49478282076).

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

30212400996 is a wasteful number, since it uses less digits than its factorization.

30212400996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36488440 (or 36488435 counting only the distinct ones).

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

The spelling of 30212400996 in words is "thirty billion, two hundred twelve million, four hundred thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 36488407 72976814 109465221 145953628 218930442 328395663 437860884 656791326 839233361 1313582652 1678466722 2517700083 3356933444 5035400166 7553100249 10070800332 15106200498 30212400996