Search a number
-
+
3122313210212 = 22753792443761
BaseRepresentation
bin101101011011111000010…
…111101010100101100100
3102001111020101011010210212
4231123320113222211210
5402123444140211322
610350212040034552
7441402555250430
oct55337027524544
912044211133725
103122313210212
11aa4190454979
12425160462a58
131985820361c1
14ab1995499c0
155634282a0e2
hex2d6f85ea964

3122313210212 has 144 divisors (see below), whose sum is σ = 6467039574912. Its totient is φ = 1291641960960.

The previous prime is 3122313210209. The next prime is 3122313210229. The reversal of 3122313210212 is 2120123132213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4102907912 + ... + 4102908672.

It is an arithmetic number, because the mean of its divisors is an integer number (44909997048).

Almost surely, 23122313210212 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 3122313210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233519787456).

3122313210212 is an abundant number, since it is smaller than the sum of its proper divisors (3344726364700).

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

3122313210212 is a wasteful number, since it uses less digits than its factorization.

3122313210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 3122313210212 its reverse (2120123132213), we get a palindrome (5242436342425).

The spelling of 3122313210212 in words is "three trillion, one hundred twenty-two billion, three hundred thirteen million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 53 79 106 158 212 316 371 443 553 742 761 886 1106 1484 1522 1772 2212 3044 3101 4187 5327 6202 6241 8374 10654 12404 12482 16748 21308 23479 24964 29309 34997 40333 43687 46958 58618 60119 69994 80666 87374 93916 117236 120238 139988 161332 164353 174748 240476 244979 282331 328706 330773 337123 420833 489958 564662 657412 661546 674246 841666 979916 1129324 1323092 1348492 1683332 1854841 2315411 2359861 2764763 3186307 3709682 4630822 4719722 4749401 5529526 6372614 7419364 9261644 9439444 9498802 11059052 12745228 12983887 17867519 18997604 19353341 22304149 25967774 26632717 33245807 35735038 38706682 44608298 51935548 53265434 66491614 71470076 77413364 89216596 106530868 125072633 132983228 146532439 186429019 250145266 251718253 293064878 372858038 500290532 503436506 586129756 745716076 1006873012 1025727073 1411534001 1762027771 2051454146 2103984643 2823068002 3524055542 4102908292 4207969286 5646136004 7048111084 8415938572 9880738007 14727892501 19761476014 29455785002 39522952028 58911570004 111511186079 223022372158 446044744316 780578302553 1561156605106 3122313210212