Search a number
-
+
131322233000 = 2353718760319
BaseRepresentation
bin111101001001101101…
…0100100000010101000
3110112222001221122022102
41322103122210002220
54122421442424000
6140154551112532
712326200364030
oct1722332440250
9415861848272
10131322233000
1150769a82382
122154b672748
13c4caac541a
1464dad368c0
153638e963d5
hex1e936a40a8

131322233000 has 64 divisors (see below), whose sum is σ = 351193190400. Its totient is φ = 45024763200.

The previous prime is 131322232889. The next prime is 131322233011. The reversal of 131322233000 is 332223131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9373160 + ... + 9387159.

It is an arithmetic number, because the mean of its divisors is an integer number (5487393600).

Almost surely, 2131322233000 is an apocalyptic number.

131322233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131322233000 is an abundant number, since it is smaller than the sum of its proper divisors (219870957400).

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

131322233000 is a wasteful number, since it uses less digits than its factorization.

131322233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18760347 (or 18760333 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 131322233000 its reverse (332223131), we get a palindrome (131654456131).

The spelling of 131322233000 in words is "one hundred thirty-one billion, three hundred twenty-two million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 18760319 37520638 75041276 93801595 131322233 150082552 187603190 262644466 375206380 469007975 525288932 656611165 750412760 938015950 1050577864 1313222330 1876031900 2345039875 2626444660 3283055825 3752063800 4690079750 5252889320 6566111650 9380159500 13132223300 16415279125 18760319000 26264446600 32830558250 65661116500 131322233000