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2312131203312 = 243722633373357
BaseRepresentation
bin100001101001010101110…
…000100101000011110000
322012001000101202212011120
4201221111300211003300
5300340221042001222
64530102311542240
7326021523646200
oct41512560450360
98161011685146
102312131203312
11811629872747
1231413408a980
1313a057774b98
147dc9cc04400
15402256c715c
hex21a55c250f0

2312131203312 has 120 divisors (see below), whose sum is σ = 6950847702096. Its totient is φ = 660356250624.

The previous prime is 2312131203299. The next prime is 2312131203323. The reversal of 2312131203312 is 2133021312132.

It is a super-3 number, since 3×23121312033123 (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6006138 + ... + 6379494.

Almost surely, 22312131203312 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 2312131203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475423851048).

2312131203312 is an abundant number, since it is smaller than the sum of its proper divisors (4638716498784).

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

2312131203312 is a wasteful number, since it uses less digits than its factorization.

2312131203312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376015 (or 376002 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 2312131203312 its reverse (2133021312132), we get a palindrome (4445152515444).

The spelling of 2312131203312 in words is "two trillion, three hundred twelve billion, one hundred thirty-one million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 2633 5266 7899 10532 15798 18431 21064 31596 36862 42128 55293 63192 73724 110586 126384 129017 147448 221172 258034 294896 373357 387051 442344 516068 746714 774102 884688 1032136 1120071 1493428 1548204 2064272 2240142 2613499 2986856 3096408 4480284 5226998 5973712 6192816 7840497 8960568 10453996 15680994 17921136 18294493 20907992 31361988 36588986 41815984 54883479 62723976 73177972 109766958 125447952 146355944 219533916 292711888 439067832 878135664 983048981 1966097962 2949146943 3932195924 5898293886 6881342867 7864391848 11796587772 13762685734 15728783696 20644028601 23593175544 27525371468 41288057202 47186351088 48169400069 55050742936 82576114404 96338800138 110101485872 144508200207 165152228808 192677600276 289016400414 330304457616 385355200552 578032800828 770710401104 1156065601656 2312131203312