Search a number
-
+
31120010212230 = 232512715287178103
BaseRepresentation
bin1110001001101101100010…
…01001110111001110000110
311002012001012000111122000100
413010312301021313032012
513034332240103242410
6150104200233024530
76361226602203012
oct704666111671606
9132161160448010
1031120010212230
119a08a16516725
1235a7324555146
1314497b1a59494
14798306237542
1538e7823618c0
hex1c4db1277386

31120010212230 has 96 divisors (see below), whose sum is σ = 81554921570304. Its totient is φ = 8232740728128.

The previous prime is 31120010212223. The next prime is 31120010212283. The reversal of 31120010212230 is 3221201002113.

31120010212230 is a `hidden beast` number, since 3 + 11 + 200 + 10 + 212 + 230 = 666.

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

It is a congruent number.

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, 174641359 + ... + 174819461.

It is an arithmetic number, because the mean of its divisors is an integer number (849530433024).

Almost surely, 231120010212230 is an apocalyptic number.

31120010212230 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 31120010212230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40777460785152).

31120010212230 is an abundant number, since it is smaller than the sum of its proper divisors (50434911358074).

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

31120010212230 is a wasteful number, since it uses less digits than its factorization.

31120010212230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193530 (or 193527 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31120010212230 its reverse (3221201002113), we get a palindrome (34341211214343).

The spelling of 31120010212230 in words is "thirty-one trillion, one hundred twenty billion, ten million, two hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1270 1905 2286 3810 5715 11430 15287 30574 45861 76435 91722 137583 152870 178103 229305 275166 356206 458610 534309 687915 890515 1068618 1375830 1602927 1781030 1941449 2671545 3205854 3882898 5343090 5824347 8014635 9707245 11648694 16029270 17473041 19414490 22619081 29121735 34946082 45238162 58243470 67857243 87365205 113095405 135714486 174730410 203571729 226190810 339286215 407143458 678572430 1017858645 2035717290 2722660561 5445321122 8167981683 13613302805 16335963366 24503945049 27226605610 40839908415 49007890098 81679816830 122519725245 245039450490 345777891247 691555782494 1037333673741 1728889456235 2074667347482 3112001021223 3457778912470 5186668368705 6224002042446 10373336737410 15560005106115 31120010212230