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311013231320 = 235111767761417
BaseRepresentation
bin1001000011010011101…
…01010100101011011000
31002201210001021010221102
410201221311110223120
520043423341400240
6354513312530532
731320124563431
oct4415165245330
91081701233842
10311013231320
1110a999951a70
1250339850a48
132343670982c
14110a5a98488
1581544b3815
hex4869d54ad8

311013231320 has 128 divisors (see below), whose sum is σ = 809508893760. Its totient is φ = 106284072960.

The previous prime is 311013231317. The next prime is 311013231323. The reversal of 311013231320 is 23132310113.

It is an interprime number because it is at equal distance from previous prime (311013231317) and next prime (311013231323).

It is a super-2 number, since 2×3110132313202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 311013231292 and 311013231301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311013231323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5033252 + ... + 5094668.

Almost surely, 2311013231320 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 311013231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404754446880).

311013231320 is an abundant number, since it is smaller than the sum of its proper divisors (498495662440).

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

311013231320 is a wasteful number, since it uses less digits than its factorization.

311013231320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62133 (or 62129 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 311013231320 its reverse (23132310113), we get a palindrome (334145541433).

The spelling of 311013231320 in words is "three hundred eleven billion, thirteen million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 677 680 748 935 1354 1496 1870 2708 3385 3740 5416 6770 7447 7480 11509 13540 14894 23018 27080 29788 37235 46036 57545 59576 61417 74470 92072 115090 122834 126599 148940 230180 245668 253198 297880 307085 460360 491336 506396 614170 632995 675587 1012792 1044089 1228340 1265990 1351174 2088178 2456680 2531980 2702348 3377935 4176356 5063960 5220445 5404696 6755870 8352712 10440890 11484979 13511740 20881780 22969958 27023480 41579309 41763560 45939916 57424895 83158618 91879832 114849790 166317236 207896545 229699580 332634472 415793090 457372399 459399160 706848253 831586180 914744798 1413696506 1663172360 1829489596 2286861995 2827393012 3534241265 3658979192 4573723990 5654786024 7068482530 7775330783 9147447980 14136965060 15550661566 18294895960 28273930120 31101323132 38876653915 62202646264 77753307830 155506615660 311013231320