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13345160430 = 2357373170371
BaseRepresentation
bin11000110110110111…
…01111110011101110
31021110001021101120010
430123123233303232
5204312330113210
610044121034050
7651463664160
oct143333576356
937401241503
1013345160430
115728aa4608
122705325926
131348a52144
14908536930
155318d1920
hex31b6efcee

13345160430 has 64 divisors (see below), whose sum is σ = 36702217728. Its totient is φ = 3042126720.

The previous prime is 13345160419. The next prime is 13345160443. The reversal of 13345160430 is 3406154331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6856 + ... + 163515.

It is an arithmetic number, because the mean of its divisors is an integer number (573472152).

Almost surely, 213345160430 is an apocalyptic number.

13345160430 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 13345160430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18351108864).

13345160430 is an abundant number, since it is smaller than the sum of its proper divisors (23357057298).

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

13345160430 is a wasteful number, since it uses less digits than its factorization.

13345160430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170761.

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 13345160430 in words is "thirteen billion, three hundred forty-five million, one hundred sixty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 373 746 1119 1865 2238 2611 3730 5222 5595 7833 11190 13055 15666 26110 39165 78330 170371 340742 511113 851855 1022226 1192597 1703710 2385194 2555565 3577791 5111130 5962985 7155582 11925970 17888955 35777910 63548383 127096766 190645149 317741915 381290298 444838681 635483830 889677362 953225745 1334516043 1906451490 2224193405 2669032086 4448386810 6672580215 13345160430