Search a number
-
+
131263475850 = 232521371316031
BaseRepresentation
bin111101000111111101…
…0011011000010001010
3110112210222101110122200
41322033322123002022
54122311422211400
6140145051501030
712324555064263
oct1721772330212
9415728343580
10131263475850
11507398a0251
1221533a57776
13c4bb892090
1464d31dd96a
153633c3bb00
hex1e8fe9b08a

131263475850 has 144 divisors (see below), whose sum is σ = 385139349504. Its totient is φ = 31855824000.

The previous prime is 131263475821. The next prime is 131263475873. The reversal of 131263475850 is 58574362131.

It is a happy number.

131263475850 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 63 + 4 + 7 + 585 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 131263475796 and 131263475805.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 257335 + ... + 573365.

It is an arithmetic number, because the mean of its divisors is an integer number (2674578816).

Almost surely, 2131263475850 is an apocalyptic number.

131263475850 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 131263475850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192569674752).

131263475850 is an abundant number, since it is smaller than the sum of its proper divisors (253875873654).

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

131263475850 is a wasteful number, since it uses less digits than its factorization.

131263475850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316133 (or 316125 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 131263475850 in words is "one hundred thirty-one billion, two hundred sixty-three million, four hundred seventy-five thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 71 75 78 90 117 130 142 150 195 213 225 234 325 355 390 426 450 585 639 650 710 923 975 1065 1170 1278 1775 1846 1950 2130 2769 2925 3195 3550 4615 5325 5538 5850 6390 8307 9230 10650 13845 15975 16614 23075 27690 31950 41535 46150 69225 83070 138450 207675 316031 415350 632062 948093 1580155 1896186 2844279 3160310 4108403 4740465 5688558 7900775 8216806 9480930 12325209 14221395 15801550 20542015 22438201 23702325 24650418 28442790 36975627 41084030 44876402 47404650 61626045 67314603 71106975 73951254 102710075 112191005 123252090 134629206 142213950 184878135 201943809 205420150 224382010 291696613 308130225 336573015 369756270 403887618 560955025 583393226 616260450 673146030 875089839 924390675 1009719045 1121910050 1458483065 1682865075 1750179678 1848781350 2019438090 2625269517 2916966130 3365730150 4375449195 5048595225 5250539034 7292415325 8750898390 10097190450 13126347585 14584830650 21877245975 26252695170 43754491950 65631737925 131263475850