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102301131300 = 223521791905049
BaseRepresentation
bin101111101000110011…
…1110110001000100100
3100210001112121220221220
41133101213312020210
53134003042200200
6114555124140340
710251055161054
oct1372147661044
9323045556856
10102301131300
113a42735a105
12179b05376b0
13985448c7b4
144d46905564
1529db2814a0
hex17d19f6224

102301131300 has 72 divisors (see below), whose sum is σ = 297645012000. Its totient is φ = 27127883520.

The previous prime is 102301131277. The next prime is 102301131307. The reversal of 102301131300 is 3131103201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102301131300.

It is not an unprimeable number, because it can be changed into a prime (102301131307) 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 23 ways as a sum of consecutive naturals, for example, 898825 + ... + 1006224.

It is an arithmetic number, because the mean of its divisors is an integer number (4133958500).

Almost surely, 2102301131300 is an apocalyptic number.

102301131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102301131300 is an abundant number, since it is smaller than the sum of its proper divisors (195343880700).

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

102301131300 is a wasteful number, since it uses less digits than its factorization.

102301131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905245 (or 1905238 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 102301131300 its reverse (3131103201), we get a palindrome (105432234501).

The spelling of 102301131300 in words is "one hundred two billion, three hundred one million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 179 300 358 537 716 895 1074 1790 2148 2685 3580 4475 5370 8950 10740 13425 17900 26850 53700 1905049 3810098 5715147 7620196 9525245 11430294 19050490 22860588 28575735 38100980 47626225 57151470 95252450 114302940 142878675 190504900 285757350 341003771 571514700 682007542 1023011313 1364015084 1705018855 2046022626 3410037710 4092045252 5115056565 6820075420 8525094275 10230113130 17050188550 20460226260 25575282825 34100377100 51150565650 102301131300