Search a number
-
+
21131112204 = 22324719364709
BaseRepresentation
bin10011101011100000…
…110010111100001100
32000112122220201111100
4103223200302330030
5321234031042304
613412453023100
71345435330056
oct235340627414
960478821440
1021131112204
118a63a643a4
124118924a90
131cb9b2c8b7
1410466028d6
1583a1ea439
hex4eb832f0c

21131112204 has 72 divisors (see below), whose sum is σ = 54834736320. Its totient is φ = 6858012672.

The previous prime is 21131112193. The next prime is 21131112227. The reversal of 21131112204 is 40221113112.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294202 + ... + 358910.

It is an arithmetic number, because the mean of its divisors is an integer number (761593560).

Almost surely, 221131112204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21131112204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27417368160).

21131112204 is an abundant number, since it is smaller than the sum of its proper divisors (33703624116).

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

21131112204 is a wasteful number, since it uses less digits than its factorization.

21131112204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64959 (or 64954 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21131112204 its reverse (40221113112), we get a palindrome (61352225316).

The spelling of 21131112204 in words is "twenty-one billion, one hundred thirty-one million, one hundred twelve thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 193 282 386 423 564 579 772 846 1158 1692 1737 2316 3474 6948 9071 18142 27213 36284 54426 64709 81639 108852 129418 163278 194127 258836 326556 388254 582381 776508 1164762 2329524 3041323 6082646 9123969 12165292 12488837 18247938 24977674 27371907 36495876 37466511 49955348 54743814 74933022 109487628 112399533 149866044 224799066 449598132 586975339 1173950678 1760926017 2347901356 3521852034 5282778051 7043704068 10565556102 21131112204