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312361135320 = 2335131671198991
BaseRepresentation
bin1001000101110100010…
…11001010110011011000
31002212020222120202121210
410202322023022303120
520104203422312240
6355255143103120
731365412561623
oct4427213126330
91085228522553
10312361135320
11110520799213
1250655141aa0
13235bca47b70
1411192ac8dba
1581d29b7780
hex48ba2cacd8

312361135320 has 128 divisors (see below), whose sum is σ = 1015210506240. Its totient is φ = 76428418560.

The previous prime is 312361135297. The next prime is 312361135343. The reversal of 312361135320 is 23531163213.

It is an interprime number because it is at equal distance from previous prime (312361135297) and next prime (312361135343).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 338976 + ... + 860015.

It is an arithmetic number, because the mean of its divisors is an integer number (7931332080).

Almost surely, 2312361135320 is an apocalyptic number.

312361135320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312361135320 is an abundant number, since it is smaller than the sum of its proper divisors (702849370920).

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

312361135320 is a wasteful number, since it uses less digits than its factorization.

312361135320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199185 (or 1199181 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 312361135320 its reverse (23531163213), we get a palindrome (335892298533).

The spelling of 312361135320 in words is "three hundred twelve billion, three hundred sixty-one million, one hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 167 195 260 312 334 390 501 520 668 780 835 1002 1336 1560 1670 2004 2171 2505 3340 4008 4342 5010 6513 6680 8684 10020 10855 13026 17368 20040 21710 26052 32565 43420 52104 65130 86840 130260 260520 1198991 2397982 3596973 4795964 5994955 7193946 9591928 11989910 14387892 15586883 17984865 23979820 28775784 31173766 35969730 46760649 47959640 62347532 71939460 77934415 93521298 124695064 143878920 155868830 187042596 200231497 233803245 311737660 374085192 400462994 467606490 600694491 623475320 800925988 935212980 1001157485 1201388982 1601851976 1870425960 2002314970 2402777964 2603009461 3003472455 4004629940 4805555928 5206018922 6006944910 7809028383 8009259880 10412037844 12013889820 13015047305 15618056766 20824075688 24027779640 26030094610 31236113532 39045141915 52060189220 62472227064 78090283830 104120378440 156180567660 312361135320