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21321320112 = 2432793974721
BaseRepresentation
bin10011110110110110…
…011000011010110000
32001000220211021200200
4103312312120122300
5322131224220422
613443405515200
71353235142061
oct236666303260
961026737620
1021321320112
119051369414
124170572b00
13201a368b61
141063996568
1584bc6d2ac
hex4f6d986b0

21321320112 has 120 divisors (see below), whose sum is σ = 60590437440. Its totient is φ = 6997985280.

The previous prime is 21321320107. The next prime is 21321320129. The reversal of 21321320112 is 21102312312.

21321320112 is a `hidden beast` number, since 21 + 321 + 320 + 1 + 1 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4513912 + ... + 4518632.

It is an arithmetic number, because the mean of its divisors is an integer number (504920312).

Almost surely, 221321320112 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 21321320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30295218720).

21321320112 is an abundant number, since it is smaller than the sum of its proper divisors (39269117328).

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

21321320112 is a wasteful number, since it uses less digits than its factorization.

21321320112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5211 (or 5202 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21321320112 its reverse (21102312312), we get a palindrome (42423632424).

The spelling of 21321320112 in words is "twenty-one billion, three hundred twenty-one million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 397 474 632 711 794 948 1191 1264 1422 1588 1896 2382 2844 3176 3573 3792 4721 4764 5688 6352 7146 9442 9528 11376 14163 14292 18884 19056 28326 28584 31363 37768 42489 56652 57168 62726 75536 84978 94089 113304 125452 169956 188178 226608 250904 282267 339912 372959 376356 501808 564534 679824 745918 752712 1118877 1129068 1491836 1505424 1874237 2237754 2258136 2983672 3356631 3748474 4475508 4516272 5622711 5967344 6713262 7496948 8951016 11245422 13426524 14993896 16868133 17902032 22490844 26853048 29987792 33736266 44981688 53706096 67472532 89963376 134945064 148064723 269890128 296129446 444194169 592258892 888388338 1184517784 1332582507 1776776676 2369035568 2665165014 3553553352 5330330028 7107106704 10660660056 21321320112