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104212033300 = 225273109130969
BaseRepresentation
bin110000100001110000…
…1010110111100010100
3100221222201022210201001
41201003201112330110
53201411240031200
6115512505313044
710346320444654
oct1410341267424
9327881283631
10104212033300
1140217a81061
1218244495784
139a9a33c63b
14508860a364
152a9dde476a
hex1843856f14

104212033300 has 72 divisors (see below), whose sum is σ = 231342788600. Its totient is φ = 40736286720.

The previous prime is 104212033267. The next prime is 104212033309. The reversal of 104212033300 is 3330212401.

It can be written as a sum of positive squares in 12 ways, for example, as 1236506896 + 102975526404 = 35164^2 + 320898^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104212033309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 730216 + ... + 861184.

Almost surely, 2104212033300 is an apocalyptic number.

104212033300 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 104212033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115671394300).

104212033300 is an abundant number, since it is smaller than the sum of its proper divisors (127130755300).

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

104212033300 is a wasteful number, since it uses less digits than its factorization.

104212033300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131165 (or 131158 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 104212033300 its reverse (3330212401), we get a palindrome (107542245701).

The spelling of 104212033300 in words is "one hundred four billion, two hundred twelve million, thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 109 146 218 292 365 436 545 730 1090 1460 1825 2180 2725 3650 5450 7300 7957 10900 15914 31828 39785 79570 130969 159140 198925 261938 397850 523876 654845 795700 1309690 2619380 3274225 6548450 9560737 13096900 14275621 19121474 28551242 38242948 47803685 57102484 71378105 95607370 142756210 191214740 239018425 285512420 356890525 478036850 713781050 956073700 1042120333 1427562100 2084240666 4168481332 5210601665 10421203330 20842406660 26053008325 52106016650 104212033300