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21303230112 = 2532371999177
BaseRepresentation
bin10011110101110001…
…010111111010100000
32000222122210012212200
4103311301113322200
5322112111330422
613441522053200
71352625316413
oct236561277240
960878705780
1021303230112
1190421330aa
1241664aa200
1320166a3c08
141061407b7a
1584a3982ac
hex4f5c57ea0

21303230112 has 72 divisors (see below), whose sum is σ = 62218417716. Its totient is φ = 6909152256.

The previous prime is 21303230107. The next prime is 21303230129. The reversal of 21303230112 is 21103230312.

21303230112 is a `hidden beast` number, since 21 + 303 + 230 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21303153936 + 76176 = 145956^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×213032301122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 988933 + ... + 1010244.

Almost surely, 221303230112 is an apocalyptic number.

It is an amenable number.

21303230112 is an abundant number, since it is smaller than the sum of its proper divisors (40915187604).

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

21303230112 is a wasteful number, since it uses less digits than its factorization.

21303230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999230 (or 1999219 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21303230112 its reverse (21103230312), we get a palindrome (42406460424).

The spelling of 21303230112 in words is "twenty-one billion, three hundred three million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 1999177 3998354 5997531 7996708 11995062 15993416 17992593 23990124 31986832 35985186 47980248 63973664 71970372 73969549 95960496 143940744 147939098 191920992 221908647 287881488 295878196 443817294 575762976 591756392 665725941 887634588 1183512784 1331451882 1775269176 2367025568 2662903764 3550538352 5325807528 7101076704 10651615056 21303230112