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22012022130 = 2357312109073
BaseRepresentation
bin10100100000000001…
…001100110101110010
32002211001111120201220
4110200001030311302
5330040034202010
614040122005510
71406323046430
oct244001146562
962731446656
1022012022130
11937623802a
124323946896
1320ca4a1087
1410cb5cdd50
1588c705970
hex52004cd72

22012022130 has 96 divisors (see below), whose sum is σ = 62386837632. Its totient is φ = 4868974080.

The previous prime is 22012022119. The next prime is 22012022167. The reversal of 22012022130 is 3122021022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 47 ways as a sum of consecutive naturals, for example, 147274 + ... + 256346.

It is an arithmetic number, because the mean of its divisors is an integer number (649862892).

Almost surely, 222012022130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22012022130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31193418816).

22012022130 is an abundant number, since it is smaller than the sum of its proper divisors (40374815502).

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

22012022130 is a wasteful number, since it uses less digits than its factorization.

22012022130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109152 (or 109121 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22012022130 its reverse (3122021022), we get a palindrome (25134043152).

The spelling of 22012022130 in words is "twenty-two billion, twelve million, twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 961 1085 1302 1922 2170 2883 3255 4805 5766 6510 6727 9610 13454 14415 20181 28830 33635 40362 67270 100905 109073 201810 218146 327219 545365 654438 763511 1090730 1527022 1636095 2290533 3272190 3381263 3817555 4581066 6762526 7635110 10143789 11452665 16906315 20287578 22905330 23668841 33812630 47337682 50718945 71006523 101437890 104819153 118344205 142013046 209638306 236688410 314457459 355032615 524095765 628914918 710065230 733734071 1048191530 1467468142 1572287295 2201202213 3144574590 3668670355 4402404426 7337340710 11006011065 22012022130