Search a number
-
+
12213223233310 = 25113167101529273
BaseRepresentation
bin1011000110111001110011…
…0101010001011100011110
31121020120110112012122021201
42301232130311101130132
53100100140121431220
641550402143550114
72400243025415101
oct261563465213436
947216415178251
1012213223233310
1139896651319a0
1214530078bb33a
136a7918410a68
143031a1d38738
15162a621ded0a
hexb1b9cd5171e

12213223233310 has 128 divisors (see below), whose sum is σ = 25374259335168. Its totient is φ = 4191834240000.

The previous prime is 12213223233301. The next prime is 12213223233319. The reversal of 12213223233310 is 1333232231221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12213223233301) and next prime (12213223233319).

It is a super-2 number, since 2×122132232333102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213223233319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22810834 + ... + 23340106.

It is an arithmetic number, because the mean of its divisors is an integer number (198236401056).

Almost surely, 212213223233310 is an apocalyptic number.

12213223233310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12213223233310 is an abundant number, since it is smaller than the sum of its proper divisors (13161036101858).

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

12213223233310 is a wasteful number, since it uses less digits than its factorization.

12213223233310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529490.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 12213223233310 its reverse (1333232231221), we get a palindrome (13546455464531).

The spelling of 12213223233310 in words is "twelve trillion, two hundred thirteen billion, two hundred twenty-three million, two hundred thirty-three thousand, three hundred ten".

Divisors: 1 2 5 10 11 22 31 55 62 67 101 110 134 155 202 310 335 341 505 670 682 737 1010 1111 1474 1705 2077 2222 3131 3410 3685 4154 5555 6262 6767 7370 10385 11110 13534 15655 20770 22847 31310 33835 34441 45694 67670 68882 74437 114235 148874 172205 209777 228470 344410 372185 419554 529273 744370 1048885 1058546 2097770 2307547 2646365 4615094 5292730 5822003 11537735 11644006 16407463 23075470 29110015 32814926 35461291 53456573 58220030 70922582 82037315 106913146 164074630 177306455 180482093 267282865 354612910 360964186 390074201 534565730 588022303 780148402 902410465 1099300021 1176044606 1657153763 1804820930 1950371005 2198600042 2940111515 3314307526 3581590391 3900742010 5496500105 5880223030 7163180782 8285768815 10993000210 12092300231 16571537630 17907951955 18228691393 24184600462 35815903910 36457382786 39397494301 60461501155 78794988602 91143456965 111029302121 120923002310 182286913930 196987471505 222058604242 393974943010 555146510605 1110293021210 1221322323331 2442644646662 6106611616655 12213223233310