Search a number
-
+
31323013330 = 2572892632731
BaseRepresentation
bin11101001010111111…
…110100000011010010
32222211221202221110211
4131022333310003102
51003122142411310
622220052514334
72156133135400
oct351277640322
988757687424
1031323013330
111231402a584
1260a201b9aa
132c524c9c1b
14173203a470
15c34d62c8a
hex74aff40d2

31323013330 has 96 divisors (see below), whose sum is σ = 66600040320. Its totient is φ = 10574403840.

The previous prime is 31323013327. The next prime is 31323013333. The reversal of 31323013330 is 3331032313.

It is an interprime number because it is at equal distance from previous prime (31323013327) and next prime (31323013333).

It is a super-4 number, since 4×313230133304 (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (31323013333) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11468065 + ... + 11470795.

It is an arithmetic number, because the mean of its divisors is an integer number (693750420).

Almost surely, 231323013330 is an apocalyptic number.

31323013330 is an abundant number, since it is smaller than the sum of its proper divisors (35277026990).

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

31323013330 is a wasteful number, since it uses less digits than its factorization.

31323013330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 31323013330 its reverse (3331032313), we get a palindrome (34654045643).

The spelling of 31323013330 in words is "thirty-one billion, three hundred twenty-three million, thirteen thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 89 98 178 245 263 445 490 526 623 890 1246 1315 1841 2630 2731 3115 3682 4361 5462 6230 8722 9205 12887 13655 18410 19117 21805 23407 25774 27310 38234 43610 46814 64435 95585 117035 128870 133819 163849 191170 234070 243059 267638 327698 486118 669095 718253 819245 1146943 1215295 1338190 1436506 1638490 1701413 2293886 2430590 3402826 3591265 5027771 5734715 7182530 8507065 10055542 11469430 11909891 17014130 23819782 25138855 35194397 50277710 59549455 63924517 70388794 119098910 127849034 175971985 319622585 351943970 447471619 639245170 894943238 2237358095 3132301333 4474716190 6264602666 15661506665 31323013330