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22042231044132 = 223132231531308663
BaseRepresentation
bin1010000001100000110110…
…10110011111100000100100
32220001012211222110200022110
411000300123112133200210
510342114442121403012
6114514021113001020
74433333014334415
oct500603326374044
986035758420273
1022042231044132
11702906a86a392
12257bb226b3170
13c3b75bbab300
14562bc771780c
1528358064a73c
hex140c1b59f824

22042231044132 has 144 divisors (see below), whose sum is σ = 58152060546048. Its totient is φ = 6483087262080.

The previous prime is 22042231044059. The next prime is 22042231044151. The reversal of 22042231044132 is 23144013224022.

It is a self number, because there is not a number n which added to its sum of digits gives 22042231044132.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 71257633 + ... + 71566295.

It is an arithmetic number, because the mean of its divisors is an integer number (403833753792).

Almost surely, 222042231044132 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 22042231044132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29076030273024).

22042231044132 is an abundant number, since it is smaller than the sum of its proper divisors (36109829501916).

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

22042231044132 is a wasteful number, since it uses less digits than its factorization.

22042231044132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310250 (or 310235 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 22042231044132 its reverse (23144013224022), we get a palindrome (45186244268154).

The spelling of 22042231044132 in words is "twenty-two trillion, forty-two billion, two hundred thirty-one million, forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 169 276 299 338 507 598 676 897 1014 1196 1531 1794 2028 3062 3588 3887 4593 6124 7774 9186 11661 15548 18372 19903 23322 35213 39806 46644 59709 70426 79612 105639 119418 140852 211278 238836 258739 308663 422556 457769 517478 617326 776217 915538 925989 1034956 1234652 1373307 1552434 1831076 1851978 2746614 3104868 3703956 4012619 5493228 5950997 7099249 8025238 11901994 12037857 14198498 16050476 17852991 21297747 23803988 24075714 28396996 35705982 42595494 48151428 52164047 71411964 85190988 92290237 104328094 156492141 184580474 208656188 276870711 312984282 369160948 472563053 553741422 625968564 945126106 1107482844 1199773081 1417689159 1890252212 2399546162 2835378318 3599319243 4799092324 5670756636 6143319689 7198638486 10868950219 12286639378 14397276972 18429959067 21737900438 24573278756 32606850657 36859918134 43475800876 65213701314 73719836268 79863155957 130427402628 141296352847 159726311914 239589467871 282592705694 319452623828 423889058541 479178935742 565185411388 847778117082 958357871484 1695556234164 1836852587011 3673705174022 5510557761033 7347410348044 11021115522066 22042231044132