Search a number
-
+
313010123022 = 232297115155931
BaseRepresentation
bin1001000111000001101…
…10110111000100001110
31002220221012202202101100
410203200312313010032
520112021042414042
6355443405123530
731420453101222
oct4434066670416
91086835682340
10313010123022
11110824066293
12507b65595a6
132369433615c
1411214d84782
15821e96024c
hex48e0db710e

313010123022 has 96 divisors (see below), whose sum is σ = 716180175360. Its totient is φ = 98660520000.

The previous prime is 313010123021. The next prime is 313010123039. The reversal of 313010123022 is 220321010313.

313010123022 is a `hidden beast` number, since 313 + 0 + 101 + 230 + 22 = 666.

It is a super-2 number, since 2×3130101230222 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313010122986 and 313010123004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313010123021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5568397 + ... + 5624327.

It is an arithmetic number, because the mean of its divisors is an integer number (7460210160).

Almost surely, 2313010123022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313010123022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358090087680).

313010123022 is an abundant number, since it is smaller than the sum of its proper divisors (403170052338).

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

313010123022 is a wasteful number, since it uses less digits than its factorization.

313010123022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56190 (or 56187 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 313010123022 its reverse (220321010313), we get a palindrome (533331133335).

The spelling of 313010123022 in words is "three hundred thirteen billion, ten million, one hundred twenty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 18 29 58 71 87 142 151 174 213 261 302 426 453 522 639 906 1278 1359 2059 2718 4118 4379 6177 8758 10721 12354 13137 18531 21442 26274 32163 37062 39411 55931 64326 78822 96489 111862 167793 192978 310909 335586 503379 621818 932727 1006758 1621999 1865454 2798181 3243998 3971101 4865997 5596362 7942202 8445581 9731994 11913303 14597991 16891162 23826606 25336743 29195982 35739909 50673486 71479818 76010229 115161929 152020458 230323858 244921849 345485787 489843698 599636251 690971574 734765547 1036457361 1199272502 1469531094 1798908753 2072914722 2204296641 3597817506 4408593282 5396726259 10793452518 17389451279 34778902558 52168353837 104336707674 156505061511 313010123022