Search a number
-
+
10441214120 = 235534925101
BaseRepresentation
bin10011011100101100…
…00100100010101000
3222221122222122010002
421232112010202220
5132340422322440
64444023242132
7516512566331
oct115626044250
928848878102
1010441214120
11447887a787
1220348a9348
13ca522c10c
147109b5288
154119b3115
hex26e5848a8

10441214120 has 32 divisors (see below), whose sum is σ = 23935995720. Its totient is φ = 4097683200.

The previous prime is 10441214117. The next prime is 10441214197. The reversal of 10441214120 is 2141214401.

It can be written as a sum of positive squares in 4 ways, for example, as 6754538596 + 3686675524 = 82186^2 + 60718^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10441214092 and 10441214101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2460431 + ... + 2464670.

Almost surely, 210441214120 is an apocalyptic number.

10441214120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10441214120 is an abundant number, since it is smaller than the sum of its proper divisors (13494781600).

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

10441214120 is a wasteful number, since it uses less digits than its factorization.

10441214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4925165 (or 4925161 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10441214120 its reverse (2141214401), we get a palindrome (12582428521).

The spelling of 10441214120 in words is "ten billion, four hundred forty-one million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 4925101 9850202 19700404 24625505 39400808 49251010 98502020 197004040 261030353 522060706 1044121412 1305151765 2088242824 2610303530 5220607060 10441214120