Search a number
-
+
131141112023400 = 233521767269371257
BaseRepresentation
bin11101110100010110101011…
…011001011100100101101000
3122012022222010120121020022220
4131310112223121130211220
5114142103444134222100
61142525221204514040
736423430002650523
oct3564265331344550
9565288116536286
10131141112023400
11388706a6993966
12128600390ab920
13582372791320b
1424553997c1bba
15102643448eaa0
hex7745ab65c968

131141112023400 has 384 divisors, whose sum is σ = 437044422545280. Its totient is φ = 32410101841920.

The previous prime is 131141112023393. The next prime is 131141112023419. The reversal of 131141112023400 is 4320211141131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1840360572 + ... + 1840431828.

It is an arithmetic number, because the mean of its divisors is an integer number (1138136517045).

Almost surely, 2131141112023400 is an apocalyptic number.

131141112023400 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 131141112023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218522211272640).

131141112023400 is an abundant number, since it is smaller than the sum of its proper divisors (305903310521880).

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

131141112023400 is a wasteful number, since it uses less digits than its factorization.

131141112023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74053 (or 74044 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131141112023400 its reverse (4320211141131), we get a palindrome (135461323164531).

The spelling of 131141112023400 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred twelve million, twenty-three thousand, four hundred".