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13213400340 = 2235743731639
BaseRepresentation
bin11000100111001010…
…00111110100010100
31021002212100021200210
430103211013310110
5204030112302330
610023053005420
7645304023030
oct142345076424
937085307623
1013213400340
115670690278
122689183870
13132766b4aa
148d4c391c0
155250568b0
hex313947d14

13213400340 has 96 divisors (see below), whose sum is σ = 43266263040. Its totient is φ = 2949964416.

The previous prime is 13213400339. The next prime is 13213400353. The reversal of 13213400340 is 4300431231.

It is a super-2 number, since 2×132134003402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 347760 + ... + 383879.

It is an arithmetic number, because the mean of its divisors is an integer number (450690240).

Almost surely, 213213400340 is an apocalyptic number.

13213400340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13213400340 is an abundant number, since it is smaller than the sum of its proper divisors (30052862700).

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

13213400340 is a wasteful number, since it uses less digits than its factorization.

13213400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731701 (or 731699 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13213400340 its reverse (4300431231), we get a palindrome (17513831571).

The spelling of 13213400340 in words is "thirteen billion, two hundred thirteen million, four hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 860 903 1204 1290 1505 1806 2580 3010 3612 4515 6020 9030 18060 731639 1463278 2194917 2926556 3658195 4389834 5121473 7316390 8779668 10242946 10974585 14632780 15364419 20485892 21949170 25607365 30728838 31460477 43898340 51214730 61457676 62920954 76822095 94381431 102429460 125841908 153644190 157302385 188762862 220223339 307288380 314604770 377525724 440446678 471907155 629209540 660670017 880893356 943814310 1101116695 1321340034 1887628620 2202233390 2642680068 3303350085 4404466780 6606700170 13213400340