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131344411400 = 235210938315731
BaseRepresentation
bin111101001010010111…
…1001010101100001000
3110120000121200102100122
41322110233022230020
54122443132131100
6140201102322412
712326560035056
oct1722457125410
9416017612318
10131344411400
1150780550334
1221556b89408
13c50258c237
1464ddc6b1d6
15363adc7985
hex1e94bcab08

131344411400 has 96 divisors (see below), whose sum is σ = 309001651200. Its totient is φ = 51916550400.

The previous prime is 131344411381. The next prime is 131344411403. The reversal of 131344411400 is 4114443131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131344411400.

It is not an unprimeable number, because it can be changed into a prime (131344411403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8341535 + ... + 8357265.

It is an arithmetic number, because the mean of its divisors is an integer number (3218767200).

Almost surely, 2131344411400 is an apocalyptic number.

131344411400 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 131344411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154500825600).

131344411400 is an abundant number, since it is smaller than the sum of its proper divisors (177657239800).

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

131344411400 is a wasteful number, since it uses less digits than its factorization.

131344411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16239 (or 16230 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 131344411400 its reverse (4114443131), we get a palindrome (135458854531).

The spelling of 131344411400 in words is "one hundred thirty-one billion, three hundred forty-four million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 383 436 545 766 872 1090 1532 1915 2180 2725 3064 3830 4360 5450 7660 9575 10900 15320 15731 19150 21800 31462 38300 41747 62924 76600 78655 83494 125848 157310 166988 208735 314620 333976 393275 417470 629240 786550 834940 1043675 1573100 1669880 1714679 2087350 3146200 3429358 4174700 6024973 6858716 8349400 8573395 12049946 13717432 17146790 24099892 30124865 34293580 42866975 48199784 60249730 68587160 85733950 120499460 150624325 171467900 240998920 301248650 342935800 602497300 656722057 1204994600 1313444114 2626888228 3283610285 5253776456 6567220570 13134441140 16418051425 26268882280 32836102850 65672205700 131344411400