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22132112010 = 2354167271991
BaseRepresentation
bin10100100111001011…
…010011101010001010
32010010102110210002020
4110213023103222022
5330311310041020
614100051545310
71412311563621
oct244713235212
963112423066
1022132112010
119428000368
124357bbb236
132119329b88
1410dd5306b8
15898027c40
hex5272d3a8a

22132112010 has 128 divisors (see below), whose sum is σ = 55484448768. Its totient is φ = 5645376000.

The previous prime is 22132111987. The next prime is 22132112011. The reversal of 22132112010 is 1021123122.

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

It is not an unprimeable number, because it can be changed into a prime (22132112011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 22332615 + ... + 22333605.

It is an arithmetic number, because the mean of its divisors is an integer number (433472256).

Almost surely, 222132112010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27742224384).

22132112010 is an abundant number, since it is smaller than the sum of its proper divisors (33352336758).

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

22132112010 is a wasteful number, since it uses less digits than its factorization.

22132112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 22132112010 its reverse (1021123122), we get a palindrome (23153235132).

The spelling of 22132112010 in words is "twenty-two billion, one hundred thirty-two million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 41 67 82 123 134 201 205 246 271 335 402 410 542 615 670 813 991 1005 1230 1355 1626 1982 2010 2710 2747 2973 4065 4955 5494 5946 8130 8241 9910 11111 13735 14865 16482 18157 22222 27470 29730 33333 36314 40631 41205 54471 55555 66397 66666 81262 82410 90785 108942 111110 121893 132794 166665 181570 199191 203155 243786 268561 272355 331985 333330 398382 406310 537122 544710 609465 663970 744437 805683 995955 1218930 1342805 1488874 1611366 1991910 2233311 2685610 2722277 3722185 4028415 4466622 5444554 7444370 8056830 8166831 11011001 11166555 13611385 16333662 17993587 22022002 22333110 27222770 33033003 35987174 40834155 53980761 55055005 66066006 81668310 89967935 107961522 110110010 165165015 179935870 269903805 330330030 539807610 737737067 1475474134 2213211201 3688685335 4426422402 7377370670 11066056005 22132112010