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13312412160 = 293510316829
BaseRepresentation
bin11000110010111101…
…10100101000000000
31021100202122121101020
430121132310220000
5204230434142120
610040551105440
7650615431155
oct143136645000
937322577336
1013312412160
115711567323
1226b6372280
131342027278
1490405022c
1552dab3640
hex3197b4a00

13312412160 has 160 divisors (see below), whose sum is σ = 42973856640. Its totient is φ = 3515301888.

The previous prime is 13312412143. The next prime is 13312412219. The reversal of 13312412160 is 6121421331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13312412160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 782626 + ... + 799454.

It is an arithmetic number, because the mean of its divisors is an integer number (268586604).

Almost surely, 213312412160 is an apocalyptic number.

13312412160 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 13312412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21486928320).

13312412160 is an abundant number, since it is smaller than the sum of its proper divisors (29661444480).

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

13312412160 is a wasteful number, since it uses less digits than its factorization.

13312412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16958 (or 16942 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13312412160 its reverse (6121421331), we get a palindrome (19433833491).

The spelling of 13312412160 in words is "thirteen billion, three hundred twelve million, four hundred twelve thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 103 120 128 160 192 206 240 256 309 320 384 412 480 512 515 618 640 768 824 960 1030 1236 1280 1536 1545 1648 1920 2060 2472 2560 3090 3296 3840 4120 4944 6180 6592 7680 8240 9888 12360 13184 16480 16829 19776 24720 26368 32960 33658 39552 49440 50487 52736 65920 67316 79104 84145 98880 100974 131840 134632 158208 168290 197760 201948 252435 263680 269264 336580 395520 403896 504870 538528 673160 791040 807792 1009740 1077056 1346320 1615584 1733387 2019480 2154112 2692640 3231168 3466774 4038960 4308224 5200161 5385280 6462336 6933548 8077920 8616448 8666935 10400322 10770560 12924672 13867096 16155840 17333870 20800644 21541120 25849344 26000805 27734192 32311680 34667740 41601288 43082240 52001610 55468384 64623360 69335480 83202576 104003220 110936768 129246720 138670960 166405152 208006440 221873536 277341920 332810304 416012880 443747072 554683840 665620608 832025760 887494144 1109367680 1331241216 1664051520 2218735360 2662482432 3328103040 4437470720 6656206080 13312412160