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13204311320 = 2352961191977
BaseRepresentation
bin11000100110000100…
…11100110100011000
31021002020020111220102
430103002130310120
5204020300430240
610022130114532
7645133536314
oct142302346430
937066214812
1013204311320
115666542592
12268611ba48
131325808485
148d3950b44
1552435d815
hex31309cd18

13204311320 has 128 divisors (see below), whose sum is σ = 31433702400. Its totient is φ = 4984627200.

The previous prime is 13204311319. The next prime is 13204311331. The reversal of 13204311320 is 2311340231.

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 = 13204311292 and 13204311301.

It is a congruent number.

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, 13514672 + ... + 13515648.

It is an arithmetic number, because the mean of its divisors is an integer number (245575800).

Almost surely, 213204311320 is an apocalyptic number.

13204311320 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 13204311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15716851200).

13204311320 is an abundant number, since it is smaller than the sum of its proper divisors (18229391080).

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

13204311320 is a wasteful number, since it uses less digits than its factorization.

13204311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1265 counting only the distinct ones).

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

Adding to 13204311320 its reverse (2311340231), we get a palindrome (15515651551).

The spelling of 13204311320 in words is "thirteen billion, two hundred four million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 61 116 122 145 191 232 244 290 305 382 488 580 610 764 955 977 1160 1220 1528 1769 1910 1954 2440 3538 3820 3908 4885 5539 7076 7640 7816 8845 9770 11078 11651 14152 17690 19540 22156 23302 27695 28333 35380 39080 44312 46604 55390 56666 58255 59597 70760 93208 110780 113332 116510 119194 141665 186607 221560 226664 233020 238388 283330 297985 337879 373214 466040 476776 566660 595970 675758 746428 933035 1133320 1191940 1351516 1492856 1689395 1728313 1866070 2383880 2703032 3378790 3456626 3732140 5411603 6757580 6913252 7464280 8641565 10823206 11383027 13515160 13826504 17283130 21646412 22766054 27058015 34566260 43292824 45532108 54116030 56915135 69132520 91064216 108232060 113830270 216464120 227660540 330107783 455321080 660215566 1320431132 1650538915 2640862264 3301077830 6602155660 13204311320