Search a number
-
+
21113303112 = 23321140965179
BaseRepresentation
bin10011101010011100…
…110111000001001000
32000111102101221000100
4103222130313001020
5321220001144422
613411015205400
71345131054366
oct235234670110
960442357010
1021113303112
118a54a00140
124112976860
131cb6235785
1410440c8636
1583887d7ac
hex4ea737048

21113303112 has 96 divisors (see below), whose sum is σ = 62533692000. Its totient is φ = 6382229760.

The previous prime is 21113303093. The next prime is 21113303117. The reversal of 21113303112 is 21130331112.

21113303112 is a `hidden beast` number, since 21 + 1 + 1 + 330 + 311 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21113303117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291339 + ... + 356517.

It is an arithmetic number, because the mean of its divisors is an integer number (651392625).

Almost surely, 221113303112 is an apocalyptic number.

21113303112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21113303112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31266846000).

21113303112 is an abundant number, since it is smaller than the sum of its proper divisors (41420388888).

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

21113303112 is a wasteful number, since it uses less digits than its factorization.

21113303112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65611 (or 65604 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21113303112 its reverse (21130331112), we get a palindrome (42243634224).

The spelling of 21113303112 in words is "twenty-one billion, one hundred thirteen million, three hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 409 792 818 1227 1636 2454 3272 3681 4499 4908 7362 8998 9816 13497 14724 17996 26994 29448 35992 40491 53988 65179 80982 107976 130358 161964 195537 260716 323928 391074 521432 586611 716969 782148 1173222 1433938 1564296 2150907 2346444 2867876 4301814 4692888 5735752 6452721 8603628 12905442 17207256 25810884 26658211 51621768 53316422 79974633 106632844 159949266 213265688 239923899 293240321 319898532 479847798 586480642 639797064 879720963 959695596 1172961284 1759441926 1919391192 2345922568 2639162889 3518883852 5278325778 7037767704 10556651556 21113303112