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131000304323000 = 2353730760958727
BaseRepresentation
bin11101110010010011100010…
…100110101100100110111000
3122011211111200110001220221002
4131302103202212230212320
5114132302110401314000
61142340413051104132
736410313443153540
oct3562234246544670
9564744613056832
10131000304323000
1138816a0a68a532
12128388a0a42048
1358133779033b8
14244c63cbc2320
1510229428c48d5
hex7724e29ac9b8

131000304323000 has 128 divisors (see below), whose sum is σ = 351473395553280. Its totient is φ = 44768088374400.

The previous prime is 131000304322967. The next prime is 131000304323011. The reversal of 131000304323000 is 323403000131.

It is a super-2 number, since 2×1310003043230002 (a number of 29 digits) contains 22 as substring.

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

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, 28330364 + ... + 32628363.

It is an arithmetic number, because the mean of its divisors is an integer number (2745885902760).

Almost surely, 2131000304323000 is an apocalyptic number.

131000304323000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000304323000 is an abundant number, since it is smaller than the sum of its proper divisors (220473091230280).

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

131000304323000 is a wasteful number, since it uses less digits than its factorization.

131000304323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60959062 (or 60959048 counting only the distinct ones).

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

Adding to 131000304323000 its reverse (323403000131), we get a palindrome (131323707323131).

The spelling of 131000304323000 in words is "one hundred thirty-one trillion, three hundred four million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 307 350 500 614 700 875 1000 1228 1400 1535 1750 2149 2456 3070 3500 4298 6140 7000 7675 8596 10745 12280 15350 17192 21490 30700 38375 42980 53725 61400 76750 85960 107450 153500 214900 268625 307000 429800 537250 1074500 2149000 60958727 121917454 243834908 304793635 426711089 487669816 609587270 853422178 1219174540 1523968175 1706844356 2133555445 2438349080 3047936350 3413688712 4267110890 6095872700 7619840875 8534221780 10667777225 12191745400 15239681750 17068443560 18714329189 21335554450 30479363500 37428658378 42671108900 53338886125 60958727000 74857316756 85342217800 93571645945 106677772250 131000304323 149714633512 187143291890 213355544500 262000608646 374286583780 426711089000 467858229725 524001217292 655001521615 748573167560 935716459450 1048002434584 1310003043230 1871432918900 2339291148625 2620006086460 3275007608075 3742865837800 4678582297250 5240012172920 6550015216150 9357164594500 13100030432300 16375038040375 18714329189000 26200060864600 32750076080750 65500152161500 131000304323000