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10404313000 = 2353311013323
BaseRepresentation
bin10011011000010010…
…10011011110101000
3222212002112212021221
421230021103132220
5132302001004000
64440224311424
7515554126024
oct115411233650
928762485257
1010404313000
114459a66394
122024472574
13c9a6abc33
14709b2b384
1540d62461a
hex26c2537a8

10404313000 has 128 divisors (see below), whose sum is σ = 25387914240. Its totient is φ = 3986400000.

The previous prime is 10404312937. The next prime is 10404313001. The reversal of 10404313000 is 31340401.

It is not an unprimeable number, because it can be changed into a prime (10404313001) 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, 3129339 + ... + 3132661.

It is an arithmetic number, because the mean of its divisors is an integer number (198343080).

Almost surely, 210404313000 is an apocalyptic number.

10404313000 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 10404313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12693957120).

10404313000 is an abundant number, since it is smaller than the sum of its proper divisors (14983601240).

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

10404313000 is a wasteful number, since it uses less digits than its factorization.

10404313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3476 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10404313000 its reverse (31340401), we get a palindrome (10435653401).

The spelling of 10404313000 in words is "ten billion, four hundred four million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 101 124 125 155 200 202 248 250 310 404 500 505 620 775 808 1000 1010 1240 1550 2020 2525 3100 3131 3323 3875 4040 5050 6200 6262 6646 7750 10100 12524 12625 13292 15500 15655 16615 20200 25048 25250 26584 31000 31310 33230 50500 62620 66460 78275 83075 101000 103013 125240 132920 156550 166150 206026 313100 332300 335623 391375 412052 415375 515065 626200 664600 671246 782750 824104 830750 1030130 1342492 1565500 1661500 1678115 2060260 2575325 2684984 3131000 3323000 3356230 4120520 5150650 6712460 8390575 10301300 10404313 12876625 13424920 16781150 20602600 20808626 25753250 33562300 41617252 41952875 51506500 52021565 67124600 83234504 83905750 103013000 104043130 167811500 208086260 260107825 335623000 416172520 520215650 1040431300 1300539125 2080862600 2601078250 5202156500 10404313000