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22131311004 = 223211521107269
BaseRepresentation
bin10100100111001000…
…010000000110011100
32010010100222002022100
4110213020100012130
5330311103423004
614100022445100
71412302016415
oct244710200634
963110862270
1022131311004
119427603580
124357893790
1321191093ca
1410dd3a280c
15897e1a739
hex52721019c

22131311004 has 72 divisors (see below), whose sum is σ = 61146474480. Its totient is φ = 6693523200.

The previous prime is 22131310963. The next prime is 22131311039. The reversal of 22131311004 is 40011313122.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152682 + ... + 259950.

It is an arithmetic number, because the mean of its divisors is an integer number (849256590).

Almost surely, 222131311004 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 22131311004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30573237240).

22131311004 is an abundant number, since it is smaller than the sum of its proper divisors (39015163476).

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

22131311004 is a wasteful number, since it uses less digits than its factorization.

22131311004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107811 (or 107806 counting only the distinct ones).

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

Adding to 22131311004 its reverse (40011313122), we get a palindrome (62142624126).

The spelling of 22131311004 in words is "twenty-two billion, one hundred thirty-one million, three hundred eleven thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 521 1042 1563 2084 3126 4689 5731 6252 9378 11462 17193 18756 22924 34386 51579 68772 103158 107269 206316 214538 321807 429076 643614 965421 1179959 1287228 1930842 2359918 3539877 3861684 4719836 7079754 10619631 14159508 21239262 42478524 55887149 111774298 167661447 223548596 335322894 502984341 614758639 670645788 1005968682 1229517278 1844275917 2011937364 2459034556 3688551834 5532827751 7377103668 11065655502 22131311004