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131444902300 = 225259731032963
BaseRepresentation
bin111101001101010111…
…0100000100110011100
3110120021121202212221211
41322122232200212130
54123144343333200
6140215052234204
712332220143335
oct1723256404634
9416247685854
10131444902300
1150822247668
122158476b964
13c51a3452ca
14650d34928c
153644b27aba
hex1e9aba099c

131444902300 has 144 divisors (see below), whose sum is σ = 296998490880. Its totient is φ = 50466792960.

The previous prime is 131444902261. The next prime is 131444902301. The reversal of 131444902300 is 3209444131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131444902301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44360619 + ... + 44363581.

It is an arithmetic number, because the mean of its divisors is an integer number (2062489520).

Almost surely, 2131444902300 is an apocalyptic number.

131444902300 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 131444902300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148499245440).

131444902300 is an abundant number, since it is smaller than the sum of its proper divisors (165553588580).

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

131444902300 is a wasteful number, since it uses less digits than its factorization.

131444902300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 131444902300 in words is "one hundred thirty-one billion, four hundred forty-four million, nine hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 59 73 100 103 118 146 206 236 292 295 365 412 515 590 730 1030 1180 1460 1475 1825 2060 2575 2950 2963 3650 4307 5150 5900 5926 6077 7300 7519 8614 10300 11852 12154 14815 15038 17228 21535 24308 29630 30076 30385 37595 43070 59260 60770 74075 75190 86140 107675 121540 148150 150380 151925 174817 187975 215350 216299 296300 303850 305189 349634 375950 430700 432598 443621 607700 610378 699268 751900 865196 874085 887242 1081495 1220756 1525945 1748170 1774484 2162990 2218105 3051890 3496340 4325980 4370425 4436210 5407475 6103780 7629725 8740850 8872420 10814950 11090525 12761641 15259450 17481700 18006151 21629900 22181050 22278797 25523282 30518900 36012302 44362100 44557594 51046564 63808205 72024604 89115188 90030755 111393985 127616410 180061510 222787970 255232820 319041025 360123020 445575940 450153775 556969925 638082050 900307550 1113939850 1276164100 1314449023 1800615100 2227879700 2628898046 5257796092 6572245115 13144490230 26288980460 32861225575 65722451150 131444902300