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22112001332120 = 2357857771711941
BaseRepresentation
bin1010000011100010110011…
…11111000001001110011000
32220021212221101120112112202
411001301121333001032120
510344240334320111440
6115010040240225332
74441353002110640
oct501613177011630
986255841515482
1022112001332120
117055713325417
12259155460b248
13c451ca86779b
14566325a15520
152852b59d3615
hex141c59fc1398

22112001332120 has 128 divisors (see below), whose sum is σ = 56937923602560. Its totient is φ = 7570795991040.

The previous prime is 22112001332107. The next prime is 22112001332123. The reversal of 22112001332120 is 2123310021122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22112001332092 and 22112001332101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112001332123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1851765350 + ... + 1851777290.

It is an arithmetic number, because the mean of its divisors is an integer number (444827528145).

Almost surely, 222112001332120 is an apocalyptic number.

22112001332120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22112001332120 is an abundant number, since it is smaller than the sum of its proper divisors (34825922270440).

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

22112001332120 is a wasteful number, since it uses less digits than its factorization.

22112001332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20533 (or 20529 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 22112001332120 its reverse (2123310021122), we get a palindrome (24235311353242).

The spelling of 22112001332120 in words is "twenty-two trillion, one hundred twelve billion, one million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 857 1714 3428 4285 5999 6856 7717 8570 11941 11998 15434 17140 23882 23996 29995 30868 34280 38585 47764 47992 54019 59705 59990 61736 77170 83587 95528 108038 119410 119980 154340 167174 216076 238820 239960 270095 308680 334348 417935 432152 477640 540190 668696 835870 1080380 1671740 2160760 3343480 6613469 10233437 13226938 20466874 26453876 33067345 40933748 46294283 51167185 52907752 66134690 71634059 81867496 92148697 92588566 102334370 132269380 143268118 184297394 185177132 204668740 231471415 264538760 286536236 358170295 368594788 370354264 409337480 460743485 462942830 573072472 645040879 716340590 737189576 921486970 925885660 1290081758 1432681180 1842973940 1851771320 2580163516 2865362360 3225204395 3685947880 5160327032 6450408790 12900817580 25801635160 78971433329 157942866658 315885733316 394857166645 552800033303 631771466632 789714333290 1105600066606 1579428666580 2211200133212 2764000166515 3158857333160 4422400266424 5528000333030 11056000666060 22112001332120