Search a number
-
+
21112421112 = 2332377925083
BaseRepresentation
bin10011101010011001…
…011111101011111000
32000111100202010010200
4103222121133223320
5321214234433422
613410544242200
71345120422066
oct235231375370
960440663120
1021112421112
118a54458512
124112610360
131cb5cb7193
141043d39036
158387572ac
hex4ea65faf8

21112421112 has 48 divisors (see below), whose sum is σ = 58724872440. Its totient is φ = 6847270848.

The previous prime is 21112421101. The next prime is 21112421131.

21112421112 is a `hidden beast` number, since 21 + 112 + 421 + 112 = 666.

21112421112 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×211124211123 (a number of 32 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3959878 + ... + 3965205.

Almost surely, 221112421112 is an apocalyptic number.

It is an amenable number.

21112421112 is an abundant number, since it is smaller than the sum of its proper divisors (37612451328).

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

21112421112 is a wasteful number, since it uses less digits than its factorization.

21112421112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7925132 (or 7925125 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The spelling of 21112421112 in words is "twenty-one billion, one hundred twelve million, four hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 7925083 15850166 23775249 31700332 47550498 63400664 71325747 95100996 142651494 190201992 285302988 293228071 570605976 586456142 879684213 1172912284 1759368426 2345824568 2639052639 3518736852 5278105278 7037473704 10556210556 21112421112