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13343213020 = 22541731012207
BaseRepresentation
bin11000110110101000…
…10100010111011100
31021102220121110012211
430123110110113130
5204311330304040
610044011210204
7651441303454
oct143324242734
937386543184
1013343213020
115727994485
122704746964
13134851c927
1490818ad64
155316498ea
hex31b5145dc

13343213020 has 96 divisors (see below), whose sum is σ = 29398795776. Its totient is φ = 5082624000.

The previous prime is 13343212991. The next prime is 13343213041. The reversal of 13343213020 is 2031234331.

13343213020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13343212982 and 13343213000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6044757 + ... + 6046963.

It is an arithmetic number, because the mean of its divisors is an integer number (306237456).

Almost surely, 213343213020 is an apocalyptic number.

13343213020 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 13343213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14699397888).

13343213020 is an abundant number, since it is smaller than the sum of its proper divisors (16055582756).

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

13343213020 is a wasteful number, since it uses less digits than its factorization.

13343213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13343213020 its reverse (2031234331), we get a palindrome (15374447351).

The spelling of 13343213020 in words is "thirteen billion, three hundred forty-three million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 41 73 82 101 146 164 202 205 292 365 404 410 505 730 820 1010 1460 2020 2207 2993 4141 4414 5986 7373 8282 8828 11035 11972 14746 14965 16564 20705 22070 29492 29930 36865 41410 44140 59860 73730 82820 90487 147460 161111 180974 222907 302293 322222 361948 445814 452435 604586 644444 805555 891628 904870 1114535 1209172 1511465 1611110 1809740 2229070 3022930 3222220 4458140 6045860 6605551 9139187 13211102 16272211 18278374 26422204 32544422 33027755 36556748 45695935 65088844 66055510 81361055 91391870 132111020 162722110 182783740 325444220 667160651 1334321302 2668642604 3335803255 6671606510 13343213020