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313021120314 = 237193121795807
BaseRepresentation
bin1001000111000011000…
…00110011111100111010
31002220221222110110211110
410203201200303330322
520112031401322224
6355444440541150
731420645423260
oct4434140637472
91086858413743
10313021120314
1111082a297761
12507ba1817b6
13236966b6926
1411216608430
1582208d3929
hex48e1833f3a

313021120314 has 128 divisors (see below), whose sum is σ = 777918873600. Its totient is φ = 81942632640.

The previous prime is 313021120297. The next prime is 313021120387. The reversal of 313021120314 is 413021120313.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53901199 + ... + 53907005.

It is an arithmetic number, because the mean of its divisors is an integer number (6077491200).

Almost surely, 2313021120314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313021120314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388959436800).

313021120314 is an abundant number, since it is smaller than the sum of its proper divisors (464897753286).

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

313021120314 is a wasteful number, since it uses less digits than its factorization.

313021120314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8048.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 313021120314 its reverse (413021120313), we get a palindrome (726042240627).

Subtracting 313021120314 from its reverse (413021120313), we obtain a palindrome (99999999999).

The spelling of 313021120314 in words is "three hundred thirteen billion, twenty-one million, one hundred twenty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 62 93 114 133 186 217 266 399 434 589 651 798 1178 1302 1767 2179 3534 4123 4358 5807 6537 8246 11614 12369 13074 15253 17421 24738 30506 34842 40649 41401 45759 67549 81298 82802 91518 110333 121947 124203 135098 180017 202647 220666 243894 248406 289807 330999 360034 405294 472843 540051 579614 661998 772331 869421 945686 1080102 1260119 1283431 1418529 1544662 1738842 2316993 2520238 2566862 2837058 3420323 3780357 3850293 4633986 6840646 7560714 7700586 8984017 10260969 12653453 17968034 20521938 23942261 25306906 26952051 37960359 47884522 53904102 71826783 75920718 88574171 143653566 177148342 240415607 265722513 392257043 480831214 531445026 721246821 784514086 1176771129 1442493642 1682909249 2353542258 2745799301 3365818498 5048727747 5491598602 7452883817 8237397903 10097455494 14905767634 16474795806 22358651451 44717302902 52170186719 104340373438 156510560157 313021120314