Search a number
-
+
10304030022 = 231113107112237
BaseRepresentation
bin10011001100010101…
…10000010101000110
3222121002211221220120
421212022300111012
5132100312430042
64422243042410
7513225544566
oct114612602506
928532757816
1010304030022
1144083a12a0
121bb6970406
13c829996b0
146da6a4da6
15404915dec
hex2662b0546

10304030022 has 64 divisors (see below), whose sum is σ = 24437355264. Its totient is φ = 2855283840.

The previous prime is 10304029943. The next prime is 10304030027. The reversal of 10304030022 is 22003040301.

It is a junction number, because it is equal to n+sod(n) for n = 10304029983 and 10304030010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304030027) 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, 35688 + ... + 147924.

It is an arithmetic number, because the mean of its divisors is an integer number (381833676).

Almost surely, 210304030022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10304030022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12218677632).

10304030022 is an abundant number, since it is smaller than the sum of its proper divisors (14133325242).

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

10304030022 is a wasteful number, since it uses less digits than its factorization.

10304030022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112373.

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10304030022 its reverse (22003040301), we get a palindrome (32307070323).

The spelling of 10304030022 in words is "ten billion, three hundred four million, thirty thousand, twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 107 143 214 286 321 429 642 858 1177 1391 2354 2782 3531 4173 7062 8346 15301 30602 45903 91806 112237 224474 336711 673422 1234607 1459081 2469214 2918162 3703821 4377243 7407642 8754486 12009359 16049891 24018718 32099782 36028077 48149673 72056154 96299346 132102949 156121667 264205898 312243334 396308847 468365001 792617694 936730002 1717338337 3434676674 5152015011 10304030022