Search a number
-
+
10105036260 = 22351115310661
BaseRepresentation
bin10010110100100111…
…01001110111100100
3222002020102000210020
421122103221313210
5131143342130020
64350413555140
7505261251054
oct113223516744
928066360706
1010105036260
114316036340
121b601a5ab0
13c506a53c7
146bc0a5564
153e2209c40
hex25a4e9de4

10105036260 has 48 divisors (see below), whose sum is σ = 30866294592. Its totient is φ = 2449705600.

The previous prime is 10105036243. The next prime is 10105036261. The reversal of 10105036260 is 6263050101.

It is a super-2 number, since 2×101050362602 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10105036260.

It is not an unprimeable number, because it can be changed into a prime (10105036261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7654671 + ... + 7655990.

It is an arithmetic number, because the mean of its divisors is an integer number (643047804).

Almost surely, 210105036260 is an apocalyptic number.

10105036260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105036260 is an abundant number, since it is smaller than the sum of its proper divisors (20761258332).

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

10105036260 is a wasteful number, since it uses less digits than its factorization.

10105036260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15310684 (or 15310682 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 10105036260 its reverse (6263050101), we get a palindrome (16368086361).

The spelling of 10105036260 in words is "ten billion, one hundred five million, thirty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 15310661 30621322 45931983 61242644 76553305 91863966 153106610 168417271 183727932 229659915 306213220 336834542 459319830 505251813 673669084 842086355 918639660 1010503626 1684172710 2021007252 2526259065 3368345420 5052518130 10105036260