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10104411000 = 2335317319469
BaseRepresentation
bin10010110100100010…
…10001001101111000
3222002012020021002110
421122101101031320
5131143212123000
64350352332320
7505253035125
oct113221211570
928065207073
1010104411000
1143157495a2
121b5bb440a0
13c50516928
146bbd8174c
153e2134850
hex25a451378

10104411000 has 128 divisors (see below), whose sum is σ = 31709620800. Its totient is φ = 2678796800.

The previous prime is 10104410999. The next prime is 10104411001. The reversal of 10104411000 is 11440101.

It is an interprime number because it is at equal distance from previous prime (10104410999) and next prime (10104411001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104411001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509266 + ... + 528734.

Almost surely, 210104411000 is an apocalyptic number.

10104411000 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 10104411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15854810400).

10104411000 is an abundant number, since it is smaller than the sum of its proper divisors (21605209800).

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

10104411000 is a wasteful number, since it uses less digits than its factorization.

10104411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19666 (or 19652 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10104411000 its reverse (11440101), we get a palindrome (10115851101).

The spelling of 10104411000 in words is "ten billion, one hundred four million, four hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 173 200 250 300 346 375 500 519 600 692 750 865 1000 1038 1384 1500 1730 2076 2595 3000 3460 4152 4325 5190 6920 8650 10380 12975 17300 19469 20760 21625 25950 34600 38938 43250 51900 58407 64875 77876 86500 97345 103800 116814 129750 155752 173000 194690 233628 259500 292035 389380 467256 486725 519000 584070 778760 973450 1168140 1460175 1946900 2336280 2433625 2920350 3368137 3893800 4867250 5840700 6736274 7300875 9734500 10104411 11681400 13472548 14601750 16840685 19469000 20208822 26945096 29203500 33681370 40417644 50522055 58407000 67362740 80835288 84203425 101044110 134725480 168406850 202088220 252610275 336813700 404176440 421017125 505220550 673627400 842034250 1010441100 1263051375 1684068500 2020882200 2526102750 3368137000 5052205500 10104411000