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312302131320 = 233519517126489
BaseRepresentation
bin1001000101101101010…
…10000101100001111000
31002212002212120001100110
410202312222011201320
520104043321200240
6355245234304320
731364065213404
oct4426652054170
91085085501313
10312302131320
111104a0458683
12506394280a0
13235b075935a
1411188d2a104
1581cc70ec80
hex48b6a85878

312302131320 has 128 divisors (see below), whose sum is σ = 986445216000. Its totient is φ = 78879144960.

The previous prime is 312302131283. The next prime is 312302131327. The reversal of 312302131320 is 23131203213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312302131327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11776636 + ... + 11803124.

It is an arithmetic number, because the mean of its divisors is an integer number (7706603250).

Almost surely, 2312302131320 is an apocalyptic number.

312302131320 is a gapful number since it is divisible by the number (30) 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 312302131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493222608000).

312302131320 is an abundant number, since it is smaller than the sum of its proper divisors (674143084680).

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

312302131320 is a wasteful number, since it uses less digits than its factorization.

312302131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31693 (or 31689 counting only the distinct ones).

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

Adding to 312302131320 its reverse (23131203213), we get a palindrome (335433334533).

The spelling of 312302131320 in words is "three hundred twelve billion, three hundred two million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 5171 10342 15513 20684 25855 26489 31026 41368 51710 52978 62052 77565 79467 98249 103420 105956 124104 132445 155130 158934 196498 206840 211912 264890 294747 310260 317868 392996 397335 491245 503291 529780 589494 620520 635736 785992 794670 982490 1006582 1059560 1178988 1473735 1509873 1589340 1964980 2013164 2357976 2516455 2947470 3019746 3178680 3929960 4026328 5032910 5894940 6039492 7549365 10065820 11789880 12078984 15098730 20131640 30197460 60394920 136974619 273949238 410923857 547898476 684873095 821847714 1095796952 1369746190 1643695428 2054619285 2602517761 2739492380 3287390856 4109238570 5205035522 5478984760 7807553283 8218477140 10410071044 13012588805 15615106566 16436954280 20820142088 26025177610 31230213132 39037766415 52050355220 62460426264 78075532830 104100710440 156151065660 312302131320