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102301331300 = 22527739720639
BaseRepresentation
bin101111101000110100…
…0100110111101100100
3100210001120000002022022
41133101220212331210
53134003120100200
6114555132322312
710251056653130
oct1372150467544
9323046002268
10102301331300
113a4274863a3
12179b0613398
13985452c83c
144d469583c0
1529db2c0885
hex17d1a26f64

102301331300 has 144 divisors (see below), whose sum is σ = 259846702080. Its totient is φ = 34235965440.

The previous prime is 102301331299. The next prime is 102301331371. The reversal of 102301331300 is 3133103201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4946381 + ... + 4967019.

Almost surely, 2102301331300 is an apocalyptic number.

102301331300 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 102301331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129923351040).

102301331300 is an abundant number, since it is smaller than the sum of its proper divisors (157545370780).

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

102301331300 is a wasteful number, since it uses less digits than its factorization.

102301331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20830 (or 20823 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 102301331300 its reverse (3133103201), we get a palindrome (105434434501).

The spelling of 102301331300 in words is "one hundred two billion, three hundred one million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 73 97 100 140 146 175 194 292 350 365 388 485 511 679 700 730 970 1022 1358 1460 1825 1940 2044 2425 2555 2716 3395 3650 4850 5110 6790 7081 7300 9700 10220 12775 13580 14162 16975 20639 25550 28324 33950 35405 41278 49567 51100 67900 70810 82556 99134 103195 141620 144473 177025 198268 206390 247835 288946 354050 412780 495670 515975 577892 708100 722365 991340 1031950 1239175 1444730 1506647 2001983 2063900 2478350 2889460 3013294 3611825 4003966 4956700 6026588 7223650 7533235 8007932 10009915 10546529 14013881 14447300 15066470 20019830 21093058 28027762 30132940 37666175 40039660 42186116 50049575 52732645 56055524 70069405 75332350 100099150 105465290 140138810 146144759 150664700 200198300 210930580 263663225 280277620 292289518 350347025 527326450 584579036 700694050 730723795 1023013313 1054652900 1401388100 1461447590 2046026626 2922895180 3653618975 4092053252 5115066565 7307237950 10230133130 14614475900 20460266260 25575332825 51150665650 102301331300