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1312303032312 = 2331941128354709
BaseRepresentation
bin10011000110001011010…
…110110010011111111000
311122110021122200020202120
4103012023112302133320
5133000044034013222
62442510320201240
7163545043504266
oct23061326623770
94573248606676
101312303032312
114665a9939498
121923bb769220
1396998c7c00c
1447731529436
15242090a315c
hex1318b5b27f8

1312303032312 has 128 divisors (see below), whose sum is σ = 3540481056000. Its totient is φ = 403981378560.

The previous prime is 1312303032307. The next prime is 1312303032379. The reversal of 1312303032312 is 2132303032131.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23959614 + ... + 24014322.

It is an arithmetic number, because the mean of its divisors is an integer number (27660008250).

Almost surely, 21312303032312 is an apocalyptic number.

1312303032312 is a gapful number since it is divisible by the number (12) 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 1312303032312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770240528000).

1312303032312 is an abundant number, since it is smaller than the sum of its proper divisors (2228178023688).

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

1312303032312 is a wasteful number, since it uses less digits than its factorization.

1312303032312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56061 (or 56057 counting only the distinct ones).

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

Adding to 1312303032312 its reverse (2132303032131), we get a palindrome (3444606064443).

The spelling of 1312303032312 in words is "one trillion, three hundred twelve billion, three hundred three million, thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 41 57 76 82 114 123 152 164 228 246 328 456 492 779 984 1283 1558 2337 2566 3116 3849 4674 5132 6232 7698 9348 10264 15396 18696 24377 30792 48754 52603 54709 73131 97508 105206 109418 146262 157809 164127 195016 210412 218836 292524 315618 328254 420824 437672 585048 631236 656508 999457 1039471 1262472 1313016 1998914 2078942 2243069 2998371 3118413 3997828 4157884 4486138 5996742 6236826 6729207 7995656 8315768 8972276 11993484 12473652 13458414 17944552 23986968 24947304 26916828 42618311 53833656 70191647 85236622 127854933 140383294 170473244 210574941 255709866 280766588 340946488 421149882 511419732 561533176 842299764 1022839464 1333641293 1684599528 2667282586 2877857527 4000923879 5334565172 5755715054 8001847758 8633572581 10669130344 11511430108 16003695516 17267145162 23022860216 32007391032 34534290324 54679293013 69068580648 109358586026 164037879039 218717172052 328075758078 437434344104 656151516156 1312303032312