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13022202033225 = 32527111396353831
BaseRepresentation
bin1011110101111111011110…
…1110011111010001001001
31201002220120122112200020100
42331133313232133101021
53201323432210030400
643410152251120013
72512552206643260
oct275376756372111
951086518480210
1013022202033225
114170759617990
121563959143009
13735cb0626c98
143303c69575d7
15178b0d8c2100
hexbd7f7b9f449

13022202033225 has 144 divisors (see below), whose sum is σ = 29082158337024. Its totient is φ = 5411336112000.

The previous prime is 13022202033179. The next prime is 13022202033227. The reversal of 13022202033225 is 52233020222031.

13022202033225 is a `hidden beast` number, since 1 + 302 + 2 + 2 + 0 + 2 + 0 + 332 + 25 = 666.

It is not a de Polignac number, because 13022202033225 - 210 = 13022202032201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13022202033227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 241882060 + ... + 241935890.

It is an arithmetic number, because the mean of its divisors is an integer number (201959432896).

Almost surely, 213022202033225 is an apocalyptic number.

13022202033225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13022202033225 is an abundant number, since it is smaller than the sum of its proper divisors (16059956303799).

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

13022202033225 is a wasteful number, since it uses less digits than its factorization.

13022202033225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67828 (or 67820 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 13022202033225 its reverse (52233020222031), we get a palindrome (65255222255256).

The spelling of 13022202033225 in words is "thirteen trillion, twenty-two billion, two hundred two million, thirty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 165 175 225 231 275 315 385 495 525 693 825 1155 1575 1925 2475 3465 5775 13963 17325 41889 53831 69815 97741 125667 153593 161493 209445 269155 293223 349075 376817 460779 484479 488705 592141 628335 767965 807465 879669 1047225 1075151 1130451 1345775 1382337 1466115 1776423 1884085 2303895 2422395 2443525 2960705 3141675 3225453 3391353 3839825 4037325 4144987 4398345 5329269 5375755 5652255 6911685 7330575 8882115 9420425 9676359 11519475 12111975 12434961 14803525 16127265 16956765 20724935 21991725 26646345 26878775 28261275 34558425 37304883 44410575 48381795 62174805 80636325 84783825 103624675 133231725 186524415 241908975 310874025 751642253 932622075 2254926759 3758211265 5261495771 6764780277 8268064783 11274633795 15784487313 18791056325 24804194349 26307478855 33823901385 41340323915 47353461939 56373168975 57876453481 74412583047 78922436565 124020971745 131537394275 169119506925 173629360443 206701619575 236767309695 289382267405 372062915235 394612182825 520888081329 620104858725 868146802215 1183836548475 1446911337025 1860314576175 2604440406645 4340734011075 13022202033225