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104133332000 = 255373356621
BaseRepresentation
bin110000011111011010…
…1001000110000100000
3100221210020020100211002
41200332311020300200
53201231113111000
6115501014411132
710344343501055
oct1407665106040
9327706210732
10104133332000
1140187607665
1218222060aa8
139a86c45419
14507bda102c
152a9704a8d5
hex183ed48c20

104133332000 has 96 divisors (see below), whose sum is σ = 259361195184. Its totient is φ = 41082624000.

The previous prime is 104133331871. The next prime is 104133332063. The reversal of 104133332000 is 233331401.

It can be written as a sum of positive squares in 8 ways, for example, as 16751607184 + 87381724816 = 129428^2 + 295604^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113690 + ... + 470310.

Almost surely, 2104133332000 is an apocalyptic number.

104133332000 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 104133332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129680597592).

104133332000 is an abundant number, since it is smaller than the sum of its proper divisors (155227863184).

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

104133332000 is an equidigital number, since it uses as much as digits as its factorization.

104133332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356719 (or 356701 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 104133332000 its reverse (233331401), we get a palindrome (104366663401).

The spelling of 104133332000 in words is "one hundred four billion, one hundred thirty-three million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 125 146 160 200 250 292 365 400 500 584 730 800 1000 1168 1460 1825 2000 2336 2920 3650 4000 5840 7300 9125 11680 14600 18250 29200 36500 58400 73000 146000 292000 356621 713242 1426484 1783105 2852968 3566210 5705936 7132420 8915525 11411872 14264840 17831050 26033333 28529680 35662100 44577625 52066666 57059360 71324200 89155250 104133332 130166665 142648400 178310500 208266664 260333330 285296800 356621000 416533328 520666660 650833325 713242000 833066656 1041333320 1301666650 1426484000 2082666640 2603333300 3254166625 4165333280 5206666600 6508333250 10413333200 13016666500 20826666400 26033333000 52066666000 104133332000