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131322200440 = 235171933730161
BaseRepresentation
bin111101001001101101…
…0011100000101111000
3110112222001212222122111
41322103122130011320
54122421440403230
6140154550302104
712326200200064
oct1722332340570
9415861788574
10131322200440
1150769a5a972
122154b657934
13c4caab3662
1464dad28aa4
153638e8b92a
hex1e9369c178

131322200440 has 128 divisors (see below), whose sum is σ = 330310094400. Its totient is φ = 46696366080.

The previous prime is 131322200419. The next prime is 131322200453. The reversal of 131322200440 is 44002223131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4338960 + ... + 4369120.

Almost surely, 2131322200440 is an apocalyptic number.

131322200440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131322200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165155047200).

131322200440 is an abundant number, since it is smaller than the sum of its proper divisors (198987893960).

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

131322200440 is a wasteful number, since it uses less digits than its factorization.

131322200440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30545 (or 30541 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 131322200440 its reverse (44002223131), we get a palindrome (175324423571).

The spelling of 131322200440 in words is "one hundred thirty-one billion, three hundred twenty-two million, two hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 337 340 380 646 674 680 760 1292 1348 1615 1685 2584 2696 3230 3370 5729 6403 6460 6740 11458 12806 12920 13480 22916 25612 28645 30161 32015 45832 51224 57290 60322 64030 108851 114580 120644 128060 150805 217702 229160 241288 256120 301610 435404 512737 544255 573059 603220 870808 1025474 1088510 1146118 1206440 2050948 2177020 2292236 2563685 2865295 4101896 4354040 4584472 5127370 5730590 9742003 10164257 10254740 11461180 19484006 20328514 20509480 22922360 38968012 40657028 48710015 50821285 77936024 81314056 97420030 101642570 172792369 193120883 194840060 203285140 345584738 386241766 389680120 406570280 691169476 772483532 863961845 965604415 1382338952 1544967064 1727923690 1931208830 3283055011 3455847380 3862417660 6566110022 6911694760 7724835320 13132220044 16415275055 26264440088 32830550110 65661100220 131322200440