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131000304000020 = 225713113731632881
BaseRepresentation
bin11101110010010011100010…
…100101011101110000010100
3122011211111200102110111212212
4131302103202211131300110
5114132302110311000040
61142340413040132552
736410313440340110
oct3562234245356024
9564744612414785
10131000304000020
1138816a0a489904
12128388a0907158
13581337781c3a0
14244c63cb3a740
15102294285dd65
hex7724e295dc14

131000304000020 has 96 divisors (see below), whose sum is σ = 338588913175296. Its totient is φ = 41459006822400.

The previous prime is 131000304000019. The next prime is 131000304000113. The reversal of 131000304000020 is 20000403000131.

It is a super-2 number, since 2×1310003040000202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 131000303999959 and 131000304000004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206673980 + ... + 207306860.

It is an arithmetic number, because the mean of its divisors is an integer number (3526967845576).

Almost surely, 2131000304000020 is an apocalyptic number.

131000304000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000304000020 is an abundant number, since it is smaller than the sum of its proper divisors (207588609175276).

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

131000304000020 is a wasteful number, since it uses less digits than its factorization.

131000304000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746641 (or 746639 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 131000304000020 its reverse (20000403000131), we get a palindrome (151000707000151).

The spelling of 131000304000020 in words is "one hundred thirty-one trillion, three hundred four million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 113731 227462 454924 568655 632881 796117 1137310 1265762 1478503 1592234 2274620 2531524 2957006 3164405 3184468 3980585 4430167 5914012 6328810 7392515 7961170 8227453 8860334 10349521 12657620 14785030 15922340 16454906 17720668 20699042 22150835 29570060 32909812 41137265 41398084 44301670 51747605 57592171 82274530 88603340 103495210 115184342 164549060 206990420 230368684 287960855 575921710 1151843420 71978189011 143956378022 287912756044 359890945055 503847323077 719781890110 935716457143 1007694646154 1439563780220 1871432914286 2015389292308 2519236615385 3742865828572 4678582285715 5038473230770 6550015200001 9357164571430 10076946461540 13100030400002 18714329142860 26200060800004 32750076000005 65500152000010 131000304000020