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13221330222100 = 225271113132081221
BaseRepresentation
bin1100000001100101010010…
…1100001111110000010100
31201210221120020100202200211
43000121110230033300110
53213104241014101400
644041443435215204
72533131613425010
oct300312454176024
951727506322624
1013221330222100
11423815325a520
1215964708a7504
1374b9c613c290
14339cb6d39540
1517ddb5536dba
hexc0654b0fc14

13221330222100 has 144 divisors (see below), whose sum is σ = 38521224233856. Its totient is φ = 3803939136000.

The previous prime is 13221330222017. The next prime is 13221330222119. The reversal of 13221330222100 is 122203312231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65940511 + ... + 66140710.

It is an arithmetic number, because the mean of its divisors is an integer number (267508501624).

Almost surely, 213221330222100 is an apocalyptic number.

13221330222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13221330222100 is an abundant number, since it is smaller than the sum of its proper divisors (25299894011756).

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

13221330222100 is a wasteful number, since it uses less digits than its factorization.

13221330222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132081266 (or 132081259 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13221330222100 its reverse (122203312231), we get a palindrome (13343533534331).

The spelling of 13221330222100 in words is "thirteen trillion, two hundred twenty-one billion, three hundred thirty million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 132081221 264162442 528324884 660406105 924568547 1320812210 1452893431 1717055873 1849137094 2641624420 2905786862 3302030525 3434111746 3698274188 4622842735 5811573724 6604061050 6868223492 7264467155 8585279365 9245685470 10170254017 12019391111 13208122100 14528934310 17170558730 18491370940 18887614603 20340508034 23114213675 24038782222 29057868620 34341117460 36322335775 37775229206 40681016068 42926396825 46228427350 48077564444 50851270085 60096955555 72644671550 75550458412 85852793650 92456854700 94438073015 101702540170 120193911110 132213302221 145289343100 171705587300 188876146030 203405080340 240387822220 254256350425 264426604442 300484777775 377752292060 472190365075 508512700850 528853208884 600969555550 661066511105 944380730150 1017025401700 1201939111100 1322133022210 1888761460300 2644266044420 3305332555525 6610665111050 13221330222100