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131141123210000 = 245418677024163
BaseRepresentation
bin11101110100010110101100…
…000100000111101100010000
3122012022222011100122120110102
4131310112230010013230100
5114142104010020210000
61142525222244351532
736423430200021521
oct3564265404075420
9565288140576412
10131141123210000
1138870702234592
12128600409a55a8
13582372a02bbc7
14245539b094848
15102643544e3d5
hex7745ac107b10

131141123210000 has 100 divisors (see below), whose sum is σ = 317675880640272. Its totient is φ = 52428345168000.

The previous prime is 131141123209979. The next prime is 131141123210003. The reversal of 131141123210000 is 12321141131.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is not an unprimeable number, because it can be changed into a prime (131141123210003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15157919 + ... + 22182081.

Almost surely, 2131141123210000 is an apocalyptic number.

131141123210000 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 131141123210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158837940320136).

131141123210000 is an abundant number, since it is smaller than the sum of its proper divisors (186534757430272).

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

131141123210000 is an equidigital number, since it uses as much as digits as its factorization.

131141123210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7026058 (or 7026037 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 131141123210000 its reverse (12321141131), we get a palindrome (131153444351131).

The spelling of 131141123210000 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred twenty-three million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1867 2000 2500 3734 5000 7468 9335 10000 14936 18670 29872 37340 46675 74680 93350 149360 186700 233375 373400 466750 746800 933500 1166875 1867000 2333750 3734000 4667500 7024163 9335000 14048326 18670000 28096652 35120815 56193304 70241630 112386608 140483260 175604075 280966520 351208150 561933040 702416300 878020375 1404832600 1756040750 2809665200 3512081500 4390101875 7024163000 8780203750 13114112321 14048326000 17560407500 26228224642 35120815000 52456449284 65570561605 70241630000 104912898568 131141123210 209825797136 262282246420 327852808025 524564492840 655705616050 1049128985680 1311411232100 1639264040125 2622822464200 3278528080250 5245644928400 6557056160500 8196320200625 13114112321000 16392640401250 26228224642000 32785280802500 65570561605000 131141123210000