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13302114320 = 2451119795581
BaseRepresentation
bin11000110001101111…
…00010100000010000
31021100001021102101202
430120313202200100
5204220320124240
610035542250332
7650432051255
oct143067424020
937301242352
1013302114320
115706773410
1226b2a269a8
13133cb5cc81
1490292d42c
1552cc2c315
hex318de2810

13302114320 has 80 divisors (see below), whose sum is σ = 35514780480. Its totient is φ = 4582540800.

The previous prime is 13302114307. The next prime is 13302114347. The reversal of 13302114320 is 2341120331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13302114292 and 13302114301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381071 + ... + 414510.

It is an arithmetic number, because the mean of its divisors is an integer number (443934756).

Almost surely, 213302114320 is an apocalyptic number.

13302114320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13302114320 is an abundant number, since it is smaller than the sum of its proper divisors (22212666160).

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

13302114320 is a wasteful number, since it uses less digits than its factorization.

13302114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795624 (or 795618 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13302114320 its reverse (2341120331), we get a palindrome (15643234651).

The spelling of 13302114320 in words is "thirteen billion, three hundred two million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 16720 795581 1591162 3182324 3977905 6364648 7955810 8751391 12729296 15116039 15911620 17502782 30232078 31823240 35005564 43756955 60464156 63646480 70011128 75580195 87513910 120928312 140022256 151160390 166276429 175027820 241856624 302320780 332552858 350055640 604641560 665105716 700111280 831382145 1209283120 1330211432 1662764290 2660422864 3325528580 6651057160 13302114320