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10104324145000 = 2354167272461
BaseRepresentation
bin1001001100001001100010…
…1001101011111101101000
31022202222000201111220212121
42103002120221223331220
52311022123440120000
633253510141321024
72062004400060451
oct223023051537550
938688021456777
1010104324145000
113246246619278
121172351866174
13583aab78c437
1426d0a25a0128
15127c83ad0b1a
hex93098a6bf68

10104324145000 has 120 divisors (see below), whose sum is σ = 23817372102810. Its totient is φ = 4017472240000.

The previous prime is 10104324144953. The next prime is 10104324145033. The reversal of 10104324145000 is 54142340101.

It can be written as a sum of positive squares in 5 ways, for example, as 2027326040964 + 8076998104036 = 1423842^2 + 2842006^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 139408770 + ... + 139481230.

Almost surely, 210104324145000 is an apocalyptic number.

10104324145000 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 10104324145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11908686051405).

10104324145000 is an abundant number, since it is smaller than the sum of its proper divisors (13713047957810).

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

10104324145000 is an frugal number, since it uses more digits than its factorization.

10104324145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72821 (or 72635 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 10104324145000 its reverse (54142340101), we get a palindrome (10158466485101).

The spelling of 10104324145000 in words is "ten trillion, one hundred four billion, three hundred twenty-four million, one hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 167 200 250 334 500 625 668 835 1000 1250 1336 1670 2500 3340 4175 5000 6680 8350 16700 20875 27889 33400 41750 55778 72461 83500 104375 111556 139445 144922 167000 208750 223112 278890 289844 362305 417500 557780 579688 697225 724610 835000 1115560 1394450 1449220 1811525 2788900 2898440 3486125 3623050 5577800 6972250 7246100 9057625 12100987 13944500 14492200 17430625 18115250 24201974 27889000 34861250 36230500 45288125 48403948 60504935 69722500 72461000 90576250 96807896 121009870 139445000 181152500 242019740 302524675 362305000 484039480 605049350 1210098700 1512623375 2020864829 2420197400 3025246750 4041729658 6050493500 7563116875 8083459316 10104324145 12100987000 15126233750 16166918632 20208648290 30252467500 40417296580 50521620725 60504935000 80834593160 101043241450 202086482900 252608103625 404172965800 505216207250 1010432414500 1263040518125 2020864829000 2526081036250 5052162072500 10104324145000