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13033221312220 = 22512722765934301
BaseRepresentation
bin1011110110101000100010…
…0001101100111011011100
31201010222000121021001021121
42331222020201230323130
53202014014123442340
643415213524340324
72513422242163144
oct275521041547334
951128017231247
1013033221312220
1141753a372332a
121565b135446a4
13737048541805
14330b50205924
15179055ebd94a
hexbda8886cedc

13033221312220 has 96 divisors (see below), whose sum is σ = 27749648424960. Its totient is φ = 5141489875200.

The previous prime is 13033221312191. The next prime is 13033221312229. The reversal of 13033221312220 is 2221312233031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033221312229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379949070 + ... + 379983370.

It is an arithmetic number, because the mean of its divisors is an integer number (289058837760).

Almost surely, 213033221312220 is an apocalyptic number.

13033221312220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13033221312220 is an abundant number, since it is smaller than the sum of its proper divisors (14716427112740).

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

13033221312220 is a wasteful number, since it uses less digits than its factorization.

13033221312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35323 (or 35321 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13033221312220 its reverse (2221312233031), we get a palindrome (15254533545251).

The spelling of 13033221312220 in words is "thirteen trillion, thirty-three billion, two hundred twenty-one million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 127 227 254 454 508 635 659 908 1135 1270 1318 2270 2540 2636 3295 4540 6590 13180 28829 34301 57658 68602 83693 115316 137204 144145 149593 167386 171505 288290 299186 334772 343010 418465 576580 598372 686020 747965 836930 1495930 1673860 2991860 4356227 7786327 8712454 15572654 17424908 18998311 21781135 22604359 31145308 37996622 38931635 43562270 45208718 75993244 77863270 87124540 90417436 94991555 113021795 155726540 189983110 226043590 379966220 452087180 988863529 1977727058 2870753593 3955454116 4944317645 5131189493 5741507186 9888635290 10262378986 11483014372 14353767965 19777270580 20524757972 25655947465 28707535930 51311894930 57415071860 102623789860 651661065611 1303322131222 2606644262444 3258305328055 6516610656110 13033221312220