Search a number
-
+
31232223330 = 23571147287669
BaseRepresentation
bin11101000101100101…
…011110100001100010
32222121121221100000020
4131011211132201202
51002430422121310
622203050534310
72153651342460
oct350545364142
988547840006
1031232223330
1112277859720
126077737396
132c3975c529
141723d65830
15c2bdcc170
hex74595e862

31232223330 has 128 divisors (see below), whose sum is σ = 95442001920. Its totient is φ = 6351709440.

The previous prime is 31232223311. The next prime is 31232223361. The reversal of 31232223330 is 3332223213.

It is a self number, because there is not a number n which added to its sum of digits gives 31232223330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35265 + ... + 252404.

It is an arithmetic number, because the mean of its divisors is an integer number (745640640).

Almost surely, 231232223330 is an apocalyptic number.

31232223330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31232223330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47721000960).

31232223330 is an abundant number, since it is smaller than the sum of its proper divisors (64209778590).

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

31232223330 is a wasteful number, since it uses less digits than its factorization.

31232223330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287744.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 31232223330 its reverse (3332223213), we get a palindrome (34564446543).

The spelling of 31232223330 in words is "thirty-one billion, two hundred thirty-two million, two hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 47 55 66 70 77 94 105 110 141 154 165 210 231 235 282 329 330 385 462 470 517 658 705 770 987 1034 1155 1410 1551 1645 1974 2310 2585 3102 3290 3619 4935 5170 7238 7755 9870 10857 15510 18095 21714 36190 54285 108570 287669 575338 863007 1438345 1726014 2013683 2876690 3164359 4027366 4315035 6041049 6328718 8630070 9493077 10068415 12082098 13520443 15821795 18986154 20136830 22150513 27040886 30205245 31643590 40561329 44301026 47465385 60410490 66451539 67602215 81122658 94643101 94930770 110752565 132903078 135204430 148724873 189286202 202806645 221505130 283929303 297449746 332257695 405613290 446174619 473215505 567858606 664515390 743624365 892349238 946431010 1041074111 1419646515 1487248730 2082148222 2230873095 2839293030 3123222333 4461746190 5205370555 6246444666 10410741110 15616111665 31232223330