Search a number
-
+
131222313330 = 2356721138623
BaseRepresentation
bin111101000110101110…
…1011001100101110010
3110112201002221012021220
41322031131121211302
54122220403011310
6140141021325510
712323545155033
oct1721535314562
9415632835256
10131222313330
1150718636239
1221522106896
13c4b31ac364
1464cb966a8a
15363030a670
hex1e8d759972

131222313330 has 96 divisors (see below), whose sum is σ = 322570854144. Its totient is φ = 34161329664.

The previous prime is 131222313323. The next prime is 131222313331. The reversal of 131222313330 is 33313222131.

It is a self number, because there is not a number n which added to its sum of digits gives 131222313330.

It is not an unprimeable number, because it can be changed into a prime (131222313331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15213399 + ... + 15222021.

It is an arithmetic number, because the mean of its divisors is an integer number (3360113064).

Almost surely, 2131222313330 is an apocalyptic number.

131222313330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131222313330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161285427072).

131222313330 is an abundant number, since it is smaller than the sum of its proper divisors (191348540814).

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

131222313330 is a wasteful number, since it uses less digits than its factorization.

131222313330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8880 (or 8813 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 131222313330 its reverse (33313222131), we get a palindrome (164535535461).

The spelling of 131222313330 in words is "one hundred thirty-one billion, two hundred twenty-two million, three hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 113 134 201 226 335 339 402 565 670 678 1005 1130 1695 2010 3390 4489 7571 8623 8978 13467 15142 17246 22445 22713 25869 26934 37855 43115 44890 45426 51738 67335 75710 86230 113565 129345 134670 227130 258690 507257 577741 974399 1014514 1155482 1521771 1733223 1948798 2536285 2888705 2923197 3043542 3466446 4871995 5072570 5777410 5846394 7608855 8666115 9743990 14615985 15217710 17332230 29231970 38708647 65284733 77417294 116125941 130569466 193543235 195854199 232251882 326423665 387086470 391708398 580629705 652847330 979270995 1161259410 1958541990 4374077111 8748154222 13122231333 21870385555 26244462666 43740771110 65611156665 131222313330