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13233030211220 = 2254175188124391
BaseRepresentation
bin1100000010010000111000…
…0100001010011010010100
31201212001202121221210111012
43000210032010022122110
53213302221213224340
644051100430431352
72534024552615321
oct300441604123224
951761677853435
1013233030211220
11424210762a516
121598797062558
1374cb3c0a1071
1433a6a6b7db48
1517e34c795565
hexc090e10a694

13233030211220 has 96 divisors (see below), whose sum is σ = 28538583800832. Its totient is φ = 5151168000000.

The previous prime is 13233030211213. The next prime is 13233030211333. The reversal of 13233030211220 is 2211203033231.

It is a super-2 number, since 2×132330302112202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542525225 + ... + 542549615.

It is an arithmetic number, because the mean of its divisors is an integer number (297276914592).

Almost surely, 213233030211220 is an apocalyptic number.

13233030211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13233030211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14269291900416).

13233030211220 is an abundant number, since it is smaller than the sum of its proper divisors (15305553589612).

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

13233030211220 is a wasteful number, since it uses less digits than its factorization.

13233030211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26073 (or 26071 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13233030211220 its reverse (2211203033231), we get a palindrome (15444233244451).

The spelling of 13233030211220 in words is "thirteen trillion, two hundred thirty-three billion, thirty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 751 820 881 1502 1762 3004 3524 3755 4405 7510 8810 15020 17620 24391 30791 36121 48782 61582 72242 97564 121955 123164 144484 153955 180605 243910 307910 361210 487820 615820 661631 722420 1000031 1323262 2000062 2646524 3308155 4000124 5000155 6616310 10000310 13232620 18317641 20000620 21488471 27126871 36635282 42976942 54253742 73270564 85953884 91588205 107442355 108507484 135634355 183176410 214884710 271268710 366352820 429769420 542537420 751023281 881027311 1502046562 1762054622 3004093124 3524109244 3755116405 4405136555 7510232810 8810273110 15020465620 16137841721 17620546220 32275683442 64551366884 80689208605 161378417210 322756834420 661651510561 1323303021122 2646606042244 3308257552805 6616515105610 13233030211220