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312310232312 = 2313171959157579
BaseRepresentation
bin1001000101101110010…
…00111111010011111000
31002212010102210121211012
410202313020333103320
520104102404413222
6355250124053052
731364224113431
oct4426710772370
91085112717735
10312310232312
111104a4a91011
1250640094188
13235b2334740
141118a038488
1581cd2b01e2
hex48b723f4f8

312310232312 has 128 divisors (see below), whose sum is σ = 714782880000. Its totient is φ = 126344779776.

The previous prime is 312310232287. The next prime is 312310232321. The reversal of 312310232312 is 213232013213.

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, 1903139 + ... + 2060717.

It is an arithmetic number, because the mean of its divisors is an integer number (5584241250).

Almost surely, 2312310232312 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 312310232312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357391440000).

312310232312 is an abundant number, since it is smaller than the sum of its proper divisors (402472647688).

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

312310232312 is a wasteful number, since it uses less digits than its factorization.

312310232312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157693 (or 157689 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 312310232312 its reverse (213232013213), we get a palindrome (525542245525).

The spelling of 312310232312 in words is "three hundred twelve billion, three hundred ten million, two hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 59 68 76 104 118 136 152 221 236 247 323 442 472 494 646 767 884 988 1003 1121 1292 1534 1768 1976 2006 2242 2584 3068 4012 4199 4484 6136 8024 8398 8968 13039 14573 16796 19057 26078 29146 33592 38114 52156 58292 76228 104312 116584 152456 157579 247741 315158 495482 630316 990964 1260632 1981928 2048527 2678843 2994001 4097054 5357686 5988002 8194108 9297161 10715372 11976004 16388216 18594322 21430744 23952008 34824959 37188644 38922013 50898017 69649918 74377288 77844026 101796034 120863093 139299836 155688052 158051737 176646059 203592068 241726186 278599672 311376104 316103474 353292118 407184136 483452372 632206948 661674221 706584236 966904744 1264413896 1323348442 1413168472 2054672581 2296398767 2646696884 3002983003 4109345162 4592797534 5293393768 6005966006 8218690324 9185595068 12011932012 16437380648 18371190136 24023864024 39038779039 78077558078 156155116156 312310232312