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21113022031112 = 23111997712924673
BaseRepresentation
bin1001100110011110000100…
…01011011010010100001000
32202202101101210202222212002
410303033002023122110020
510231403432114443422
6112523104411010132
74306236240132464
oct463170213322410
982671353688762
1021113022031112
1167aaa89580810
12244ba18439948
13ba1c45ba575b
1452dc38d874a4
152692e8b8b692
hex1333c22da508

21113022031112 has 64 divisors (see below), whose sum is σ = 45505192219200. Its totient is φ = 9082425507840.

The previous prime is 21113022031067. The next prime is 21113022031117.

21113022031112 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (21113022031117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4828793 + ... + 8095880.

It is an arithmetic number, because the mean of its divisors is an integer number (711018628425).

Almost surely, 221113022031112 is an apocalyptic number.

21113022031112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21113022031112 is an abundant number, since it is smaller than the sum of its proper divisors (24392170188088).

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

21113022031112 is a wasteful number, since it uses less digits than its factorization.

21113022031112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12925686 (or 12925682 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 2111302 and 2031112, that added together give a palindrome (4142414).

The spelling of 21113022031112 in words is "twenty-one trillion, one hundred thirteen billion, twenty-two million, thirty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 977 1672 1954 3908 7816 10747 18563 21494 37126 42988 74252 85976 148504 204193 408386 816772 1633544 12924673 25849346 51698692 103397384 142171403 245568787 284342806 491137574 568685612 982275148 1137371224 1964550296 2701256657 5402513314 10805026628 12627405521 21610053256 25254811042 50509622084 101019244168 138901460731 239920704899 277802921462 479841409798 555605842924 959682819596 1111211685848 1919365639192 2639127753889 5278255507778 10556511015556 21113022031112