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13210113003312 = 2431039767273569
BaseRepresentation
bin1100000000111011100000…
…0101111100111100110000
31201202212121111012000022010
43000032320011330330300
53212413302412101222
644032350411242520
72532253625561151
oct300167005747460
951685544160263
1013210113003312
114233417448a75
121594260149440
1374a92920c104
14339531283928
1517d95a88b80c
hexc03b817cf30

13210113003312 has 80 divisors (see below), whose sum is σ = 34461100776960. Its totient is φ = 4360157423616.

The previous prime is 13210113003301. The next prime is 13210113003313. The reversal of 13210113003312 is 21330031101231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13210113003313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48151264 + ... + 48424832.

It is an arithmetic number, because the mean of its divisors is an integer number (430763759712).

Almost surely, 213210113003312 is an apocalyptic number.

13210113003312 is a gapful number since it is divisible by the number (12) 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 13210113003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17230550388480).

13210113003312 is an abundant number, since it is smaller than the sum of its proper divisors (21250987773648).

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

13210113003312 is a wasteful number, since it uses less digits than its factorization.

13210113003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283450 (or 283444 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13210113003312 its reverse (21330031101231), we get a palindrome (34540144104543).

The spelling of 13210113003312 in words is "thirteen trillion, two hundred ten billion, one hundred thirteen million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1236 1648 2472 4944 9767 19534 29301 39068 58602 78136 117204 156272 234408 273569 468816 547138 820707 1006001 1094276 1641414 2012002 2188552 3018003 3282828 4024004 4377104 6036006 6565656 8048008 12072012 13131312 16096016 24144024 28177607 48288048 56355214 84532821 112710428 169065642 225420856 338131284 450841712 676262568 1352525136 2671948423 5343896846 8015845269 10687793692 16031690538 21375587384 32063381076 42751174768 64126762152 128253524304 275210687569 550421375138 825632062707 1100842750276 1651264125414 2201685500552 3302528250828 4403371001104 6605056501656 13210113003312