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311312133120 = 2103520267717
BaseRepresentation
bin1001000011110111010…
…01100010110000000000
31002202112212200221010110
410201323221202300000
520100031401224440
6355003111231320
731330414320312
oct4417351426000
91082485627113
10311312133120
1111003264634a
1250401978540
13234836117c1
14110d36637b2
158170857080
hex487ba62c00

311312133120 has 88 divisors (see below), whose sum is σ = 995712449904. Its totient is φ = 83016564736.

The previous prime is 311312133103. The next prime is 311312133199. The reversal of 311312133120 is 21331213113.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10118499 + ... + 10149218.

Almost surely, 2311312133120 is an apocalyptic number.

311312133120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311312133120 is an abundant number, since it is smaller than the sum of its proper divisors (684400316784).

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

311312133120 is a wasteful number, since it uses less digits than its factorization.

311312133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20267745 (or 20267727 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 311312133120 its reverse (21331213113), we get a palindrome (332643346233).

The spelling of 311312133120 in words is "three hundred eleven billion, three hundred twelve million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 15360 20267717 40535434 60803151 81070868 101338585 121606302 162141736 202677170 243212604 304015755 324283472 405354340 486425208 608031510 648566944 810708680 972850416 1216063020 1297133888 1621417360 1945700832 2432126040 2594267776 3242834720 3891401664 4864252080 5188535552 6485669440 7782803328 9728504160 10377071104 12971338880 15565606656 19457008320 20754142208 25942677760 31131213312 38914016640 51885355520 62262426624 77828033280 103770711040 155656066560 311312133120