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21112221132 = 22331058918461
BaseRepresentation
bin10011101010011000…
…101110110111001100
32000111100100221211000
4103222120232313030
5321214212034012
613410540100300
71345115630052
oct235230566714
960440327730
1021112221132
118a54331242
124112534690
131cb5c47152
141043cc61d2
15838717ddc
hex4ea62edcc

21112221132 has 48 divisors (see below), whose sum is σ = 54743522400. Its totient is φ = 7036361280.

The previous prime is 21112221131. The next prime is 21112221133. The reversal of 21112221132 is 23112221112.

It is an interprime number because it is at equal distance from previous prime (21112221131) and next prime (21112221133).

It is a super-2 number, since 2×211122211322 (a number of 21 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (21112221131) 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, 1134382 + ... + 1152842.

It is an arithmetic number, because the mean of its divisors is an integer number (1140490050).

Almost surely, 221112221132 is an apocalyptic number.

It is an amenable number.

21112221132 is an abundant number, since it is smaller than the sum of its proper divisors (33631301268).

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

21112221132 is a wasteful number, since it uses less digits than its factorization.

21112221132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29063 (or 29055 counting only the distinct ones).

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

Adding to 21112221132 its reverse (23112221112), we get a palindrome (44224442244).

The spelling of 21112221132 in words is "twenty-one billion, one hundred twelve million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 10589 18461 21178 31767 36922 42356 55383 63534 73844 95301 110766 127068 166149 190602 221532 285903 332298 381204 498447 571806 664596 996894 1143612 1993788 195483529 390967058 586450587 781934116 1172901174 1759351761 2345802348 3518703522 5278055283 7037407044 10556110566 21112221132