Search a number
-
+
131120222010 = 235149167175649
BaseRepresentation
bin111101000011101011…
…1111100111100111010
3110112102222211102022220
41322013113330330322
54122013234101020
6140122533224510
712321165332511
oct1720727747472
9415388742286
10131120222010
1150675a46548
12214b3a92136
13c497cb59ab
1464bc18d678
153626391240
hex1e875fcf3a

131120222010 has 64 divisors (see below), whose sum is σ = 318699360000. Its totient is φ = 34522560512.

The previous prime is 131120222003. The next prime is 131120222021. The reversal of 131120222010 is 10222021131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658666 + ... + 834314.

It is an arithmetic number, because the mean of its divisors is an integer number (4979677500).

Almost surely, 2131120222010 is an apocalyptic number.

131120222010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131120222010 is an abundant number, since it is smaller than the sum of its proper divisors (187579137990).

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

131120222010 is a wasteful number, since it uses less digits than its factorization.

131120222010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175975.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 131120222010 its reverse (10222021131), we get a palindrome (141342243141).

The spelling of 131120222010 in words is "one hundred thirty-one billion, one hundred twenty million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 149 167 298 334 447 501 745 835 894 1002 1490 1670 2235 2505 4470 5010 24883 49766 74649 124415 149298 175649 248830 351298 373245 526947 746490 878245 1053894 1756490 2634735 5269470 26171701 29333383 52343402 58666766 78515103 88000149 130858505 146666915 157030206 176000298 261717010 293333830 392575515 440000745 785151030 880001490 4370674067 8741348134 13112022201 21853370335 26224044402 43706740670 65560111005 131120222010