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13355161320 = 23351019411171
BaseRepresentation
bin11000111000000011…
…11001011011101000
31021110202002111012110
430130001321123220
5204322410130240
610045115242320
7651644666244
oct143401713350
937422074173
1013355161320
115733705406
1227087493a0
13134ab44227
149099bb424
15532709c80
hex31c0796e8

13355161320 has 128 divisors (see below), whose sum is σ = 40539761280. Its totient is φ = 3519360000.

The previous prime is 13355161319. The next prime is 13355161349. The reversal of 13355161320 is 2316155331.

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

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, 11404335 + ... + 11405505.

It is an arithmetic number, because the mean of its divisors is an integer number (316716885).

Almost surely, 213355161320 is an apocalyptic number.

13355161320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13355161320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20269880640).

13355161320 is an abundant number, since it is smaller than the sum of its proper divisors (27184599960).

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

13355161320 is a wasteful number, since it uses less digits than its factorization.

13355161320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 13355161320 in words is "thirteen billion, three hundred fifty-five million, one hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 941 1010 1171 1212 1515 1882 2020 2342 2424 2823 3030 3513 3764 4040 4684 4705 5646 5855 6060 7026 7528 9368 9410 11292 11710 12120 14052 14115 17565 18820 22584 23420 28104 28230 35130 37640 46840 56460 70260 95041 112920 118271 140520 190082 236542 285123 354813 380164 473084 475205 570246 591355 709626 760328 946168 950410 1101911 1140492 1182710 1419252 1425615 1774065 1900820 2203822 2280984 2365420 2838504 2851230 3305733 3548130 3801640 4407644 4730840 5509555 5702460 6611466 7096260 8815288 11019110 11404920 13222932 14192520 16528665 22038220 26445864 33057330 44076440 66114660 111293011 132229320 222586022 333879033 445172044 556465055 667758066 890344088 1112930110 1335516132 1669395165 2225860220 2671032264 3338790330 4451720440 6677580660 13355161320