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13320232414321 = 73123177877937
BaseRepresentation
bin1100000111010101101110…
…1110001010110001110001
31202011101211220021200210011
43001311123232022301301
53221214313444224241
644155121424334521
72543232530250520
oct301653356126161
952141756250704
1013320232414321
114276095a38368
1215b1672a74441
13758128387b01
143409ba26c4b7
151817531c0281
hexc1d5bb8ac71

13320232414321 has 48 divisors (see below), whose sum is σ = 15801694731648. Its totient is φ = 10998804602880.

The previous prime is 13320232414303. The next prime is 13320232414361. The reversal of 13320232414321 is 12341423202331.

It is not a de Polignac number, because 13320232414321 - 27 = 13320232414193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (13320232414301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1678241265 + ... + 1678249201.

It is an arithmetic number, because the mean of its divisors is an integer number (329201973576).

Almost surely, 213320232414321 is an apocalyptic number.

It is an amenable number.

13320232414321 is a deficient number, since it is larger than the sum of its proper divisors (2481462317327).

13320232414321 is an equidigital number, since it uses as much as digits as its factorization.

13320232414321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9110 (or 9079 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 13320232414321 its reverse (12341423202331), we get a palindrome (25661655616652).

The spelling of 13320232414321 in words is "thirteen trillion, three hundred twenty billion, two hundred thirty-two million, four hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 7 31 217 317 787 961 2219 5509 6727 7937 9827 24397 55559 68789 170779 246047 249479 304637 756307 1722329 1746353 2132459 2516029 5294149 6246419 7627457 7733849 17612203 43724933 53392199 54136943 77996899 193638989 239749319 545978293 1355472923 1678245233 1980114823 2417903869 6002808659 13860803761 16925327083 42019660613 61383559513 429684916591 1902890344903 13320232414321