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13132333320 = 23352913192861
BaseRepresentation
bin11000011101011111…
…11000000100001000
31020220012210122122120
430032233320010020
5203343334131240
610011035251240
7643300664031
oct141657700410
936805718576
1013132333320
115629950437
122665ba9b20
131313926542
148c8175a88
1551cd91ad0
hex30ebf8108

13132333320 has 128 divisors (see below), whose sum is σ = 40800672000. Its totient is φ = 3377454080.

The previous prime is 13132333271. The next prime is 13132333369. The reversal of 13132333320 is 2333323131.

It is an interprime number because it is at equal distance from previous prime (13132333271) and next prime (13132333369).

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

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, 4588690 + ... + 4591550.

It is an arithmetic number, because the mean of its divisors is an integer number (318755250).

Almost surely, 213132333320 is an apocalyptic number.

13132333320 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 13132333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20400336000).

13132333320 is an abundant number, since it is smaller than the sum of its proper divisors (27668338680).

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

13132333320 is a wasteful number, since it uses less digits than its factorization.

13132333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223 (or 4219 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 13132333320 its reverse (2333323131), we get a palindrome (15465656451).

The spelling of 13132333320 in words is "thirteen billion, one hundred thirty-two million, three hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1319 1740 2638 2861 3480 3957 5276 5722 6595 7914 8583 10552 11444 13190 14305 15828 17166 19785 22888 26380 28610 31656 34332 38251 39570 42915 52760 57220 68664 76502 79140 82969 85830 114440 114753 153004 158280 165938 171660 191255 229506 248907 306008 331876 343320 382510 414845 459012 497814 573765 663752 765020 829690 918024 995628 1147530 1244535 1530040 1659380 1991256 2295060 2489070 3318760 3773659 4590120 4978140 7547318 9956280 11320977 15094636 18868295 22641954 30189272 37736590 45283908 56604885 75473180 90567816 109436111 113209770 150946360 218872222 226419540 328308333 437744444 452839080 547180555 656616666 875488888 1094361110 1313233332 1641541665 2188722220 2626466664 3283083330 4377444440 6566166660 13132333320