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13141313430 = 2357253168673
BaseRepresentation
bin11000011110100100…
…01000011110010110
31020220211200220001020
430033102020132112
5203403134012210
610011555542010
7643440215100
oct141722103626
936824626036
1013141313430
115633a24313
122668bba906
13131574bb0b
148c9432570
1551da67770
hex30f488796

13141313430 has 96 divisors (see below), whose sum is σ = 37380857184. Its totient is φ = 2947037184.

The previous prime is 13141313389. The next prime is 13141313459. The reversal of 13141313430 is 3431314131.

It is a self number, because there is not a number n which added to its sum of digits gives 13141313430.

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, 6427 + ... + 162246.

It is an arithmetic number, because the mean of its divisors is an integer number (389383929).

Almost surely, 213141313430 is an apocalyptic number.

13141313430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13141313430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18690428592).

13141313430 is an abundant number, since it is smaller than the sum of its proper divisors (24239543754).

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

13141313430 is a wasteful number, since it uses less digits than its factorization.

13141313430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168750 (or 168743 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13141313430 its reverse (3431314131), we get a palindrome (16572627561).

The spelling of 13141313430 in words is "thirteen billion, one hundred forty-one million, three hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 53 70 98 105 106 147 159 210 245 265 294 318 371 490 530 735 742 795 1113 1470 1590 1855 2226 2597 3710 5194 5565 7791 11130 12985 15582 25970 38955 77910 168673 337346 506019 843365 1012038 1180711 1686730 2361422 2530095 3542133 5060190 5903555 7084266 8264977 8939669 11807110 16529954 17710665 17879338 24794931 26819007 35421330 41324885 44698345 49589862 53638014 62577683 82649770 89396690 123974655 125155366 134095035 187733049 247949310 268190070 312888415 375466098 438043781 625776830 876087562 938665245 1314131343 1877330490 2190218905 2628262686 4380437810 6570656715 13141313430