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131504541450 = 23524367304303
BaseRepresentation
bin111101001111001001…
…0000000111100001010
3110120102202222212111020
41322132102000330022
54123310130311300
6140225022413310
712333543105402
oct1723622007412
9416382885436
10131504541450
1150852981417
12215a0731236
13c5297c6c49
146517231802
153649ea88a0
hex1e9e480f0a

131504541450 has 96 divisors (see below), whose sum is σ = 338697655296. Its totient is φ = 33741005760.

The previous prime is 131504541431. The next prime is 131504541451. The reversal of 131504541450 is 54145405131.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131504541451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279999 + ... + 584301.

It is an arithmetic number, because the mean of its divisors is an integer number (3528100576).

Almost surely, 2131504541450 is an apocalyptic number.

131504541450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131504541450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169348827648).

131504541450 is an abundant number, since it is smaller than the sum of its proper divisors (207193113846).

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

131504541450 is a wasteful number, since it uses less digits than its factorization.

131504541450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304428 (or 304423 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 131504541450 its reverse (54145405131), we get a palindrome (185649946581).

The spelling of 131504541450 in words is "one hundred thirty-one billion, five hundred four million, five hundred forty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 43 50 67 75 86 129 134 150 201 215 258 335 402 430 645 670 1005 1075 1290 1675 2010 2150 2881 3225 3350 5025 5762 6450 8643 10050 14405 17286 28810 43215 72025 86430 144050 216075 304303 432150 608606 912909 1521515 1825818 3043030 4564545 7607575 9129090 13085029 15215150 20388301 22822725 26170058 39255087 40776602 45645450 61164903 65425145 78510174 101941505 122329806 130850290 196275435 203883010 305824515 327125725 392550870 509707525 611649030 654251450 876696943 981377175 1019415050 1529122575 1753393886 1962754350 2630090829 3058245150 4383484715 5260181658 8766969430 13150454145 21917423575 26300908290 43834847150 65752270725 131504541450