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2013323130312 = 23313291371116229
BaseRepresentation
bin11101010011000011011…
…010001111010111001000
321010110201221122222212220
4131103003122033113020
5230441241210132222
64140524033534040
7265313011146414
oct35230332172710
97113657588786
102013323130312
1170693346888a
12286241a14320
13117b17872030
146d6340cdd44
15375879abb5c
hex1d4c368f5c8

2013323130312 has 128 divisors (see below), whose sum is σ = 5608153152000. Its totient is φ = 598042045440.

The previous prime is 2013323130277. The next prime is 2013323130331. The reversal of 2013323130312 is 2130313233102.

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, 124049014 + ... + 124065242.

It is an arithmetic number, because the mean of its divisors is an integer number (43813696500).

Almost surely, 22013323130312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013323130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804076576000).

2013323130312 is an abundant number, since it is smaller than the sum of its proper divisors (3594830021688).

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

2013323130312 is a wasteful number, since it uses less digits than its factorization.

2013323130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29991 (or 29987 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 2013323130312 its reverse (2130313233102), we get a palindrome (4143636363414).

The spelling of 2013323130312 in words is "two trillion, thirteen billion, three hundred twenty-three million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 2262 3016 4524 9048 13711 16229 27422 32458 41133 48687 54844 64916 82266 97374 109688 129832 164532 178243 194748 210977 329064 356486 389496 397619 421954 470641 534729 632931 712972 795238 843908 941282 1069458 1192857 1265862 1411923 1425944 1590476 1687816 1882564 2138916 2385714 2531724 2823846 3180952 3765128 4277832 4771428 5063448 5169047 5647692 6118333 9542856 10338094 11295384 12236666 15507141 18354999 20676188 24473332 31014282 36709998 41352376 48946664 62028564 73419996 124057128 146839992 222515819 445031638 667547457 890063276 1335094914 1780126552 2670189828 2892705647 5340379656 5785411294 6452958751 8678116941 11570822588 12905917502 17356233882 19358876253 23141645176 25811835004 34712467764 38717752506 51623670008 69424935528 77435505012 83888463763 154871010024 167776927526 251665391289 335553855052 503330782578 671107710104 1006661565156 2013323130312