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131000304323420 = 225728113417248189
BaseRepresentation
bin11101110010010011100010…
…100110101100101101011100
3122011211111200110001221111122
4131302103202212230231130
5114132302110401322140
61142340413051110112
736410313443155010
oct3562234246545534
9564744613057448
10131000304323420
1138816a0a68a884
12128388a0a42338
13581337790364c
14244c63cbc2540
1510229428c4ab5
hex7724e29acb5c

131000304323420 has 96 divisors (see below), whose sum is σ = 315544381971840. Its totient is φ = 44751036395520.

The previous prime is 131000304323417. The next prime is 131000304323431. The reversal of 131000304323420 is 24323403000131.

It is a super-2 number, since 2×1310003043234202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131000304323420.

It is a congruent 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, 527700686 + ... + 527948874.

It is an arithmetic number, because the mean of its divisors is an integer number (3286920645540).

Almost surely, 2131000304323420 is an apocalyptic number.

131000304323420 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 131000304323420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157772190985920).

131000304323420 is an abundant number, since it is smaller than the sum of its proper divisors (184544077648420).

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

131000304323420 is a wasteful number, since it uses less digits than its factorization.

131000304323420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261903 (or 261901 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 131000304323420 its reverse (24323403000131), we get a palindrome (155323707323551).

The spelling of 131000304323420 in words is "one hundred thirty-one trillion, three hundred four million, three hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 281 562 1124 1405 1967 2810 3934 5620 7868 9835 13417 19670 26834 39340 53668 67085 93919 134170 187838 248189 268340 375676 469595 496378 939190 992756 1240945 1737323 1878380 2481890 3474646 3770177 4963780 6949292 7540354 8686615 15080708 17373230 18850885 26391239 34746460 37701770 52782478 69741109 75403540 105564956 131956195 139482218 263912390 278964436 348705545 488187763 527824780 697411090 976375526 1394822180 1952751052 2440938815 3329951813 4881877630 6659903626 9763755260 13319807252 16649759065 23309662691 33299518130 46619325382 66599036260 93238650764 116548313455 233096626910 466193253820 935716459453 1871432918906 3742865837812 4678582297265 6550015216171 9357164594530 13100030432342 18714329189060 26200060864684 32750076080855 65500152161710 131000304323420