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2331312312 = 2337195912379
BaseRepresentation
bin1000101011110101…
…0000000010111000
320000110202221021110
42022331100002320
514233303443222
61023200040320
7111525553620
oct21275200270
96013687243
102331312312
11a96a6849a
125509030a0
132b1cb9554
1418189d880
15d9a0930c
hex8af500b8

2331312312 has 128 divisors (see below), whose sum is σ = 7130880000. Its totient is φ = 620286336.

The previous prime is 2331312307. The next prime is 2331312337. The reversal of 2331312312 is 2132131332.

It is a super-3 number, since 3×23313123123 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182139 + ... + 194517.

It is an arithmetic number, because the mean of its divisors is an integer number (55710000).

Almost surely, 22331312312 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 2331312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565440000).

2331312312 is an abundant number, since it is smaller than the sum of its proper divisors (4799567688).

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

2331312312 is a wasteful number, since it uses less digits than its factorization.

2331312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12473 (or 12469 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 2331312312 is about 48283.6650638702. The cubic root of 2331312312 is about 1325.9693510885.

Adding to 2331312312 its reverse (2132131332), we get a palindrome (4463443644).

The spelling of 2331312312 in words is "two billion, three hundred thirty-one million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 59 76 84 114 118 133 152 168 177 228 236 266 354 399 413 456 472 532 708 798 826 1064 1121 1239 1416 1596 1652 2242 2478 3192 3304 3363 4484 4956 6726 7847 8968 9912 12379 13452 15694 23541 24758 26904 31388 37137 47082 49516 62776 74274 86653 94164 99032 148548 173306 188328 235201 259959 297096 346612 470402 519918 693224 705603 730361 940804 1039836 1411206 1460722 1646407 1881608 2079672 2191083 2822412 2921444 3292814 4382166 4939221 5112527 5644824 5842888 6585628 8764332 9878442 10225054 13171256 13876859 15337581 17528664 19756884 20450108 27753718 30675162 39513768 40900216 41630577 55507436 61350324 83261154 97138013 111014872 122700648 166522308 194276026 291414039 333044616 388552052 582828078 777104104 1165656156 2331312312