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22311013104 = 2432236736417
BaseRepresentation
bin10100110001110101…
…110000101011110000
32010120220002220020200
4110301311300223300
5331143104404404
614125522235200
71416613324302
oct246165605360
963526086220
1022311013104
119509a92406
1243a7ab5b00
132147407803
1411191bd972
158a8ab5839
hex531d70af0

22311013104 has 60 divisors (see below), whose sum is σ = 65154634896. Its totient is φ = 7113655296.

The previous prime is 22311013099. The next prime is 22311013139. The reversal of 22311013104 is 40131011322.

It is a super-3 number, since 3×223110131043 (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3364897 + ... + 3371520.

Almost surely, 222311013104 is an apocalyptic number.

22311013104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22311013104 is an abundant number, since it is smaller than the sum of its proper divisors (42843621792).

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

22311013104 is a wasteful number, since it uses less digits than its factorization.

22311013104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6736454 (or 6736445 counting only the distinct ones).

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

Adding to 22311013104 its reverse (40131011322), we get a palindrome (62442024426).

The spelling of 22311013104 in words is "twenty-two billion, three hundred eleven million, thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 6736417 13472834 20209251 26945668 40418502 53891336 60627753 80837004 107782672 121255506 154937591 161674008 242511012 309875182 323348016 464812773 485022024 619750364 929625546 970044048 1239500728 1394438319 1859251092 2479001456 2788876638 3718502184 5577753276 7437004368 11155506552 22311013104