Search a number
-
+
10114212430 = 257197604671
BaseRepresentation
bin10010110101101101…
…01010001001001110
3222002212200020010101
421122312222021032
5131203214244210
64351342401314
7505432246540
oct113266521116
928085606111
1010114212430
114320233553
121b6329023a
13c52568caa
146bd3b3690
153e2e1da3a
hex25adaa24e

10114212430 has 32 divisors (see below), whose sum is σ = 21901455360. Its totient is φ = 3285217440.

The previous prime is 10114212403. The next prime is 10114212439. The reversal of 10114212430 is 3421241101.

10114212430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 10114212398 and 10114212407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114212439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3801006 + ... + 3803665.

It is an arithmetic number, because the mean of its divisors is an integer number (684420480).

Almost surely, 210114212430 is an apocalyptic number.

10114212430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10114212430 is an abundant number, since it is smaller than the sum of its proper divisors (11787242930).

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

10114212430 is a wasteful number, since it uses less digits than its factorization.

10114212430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7604704.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10114212430 its reverse (3421241101), we get a palindrome (13535453531).

The spelling of 10114212430 in words is "ten billion, one hundred fourteen million, two hundred twelve thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 665 1330 7604671 15209342 38023355 53232697 76046710 106465394 144488749 266163485 288977498 532326970 722443745 1011421243 1444887490 2022842486 5057106215 10114212430