Search a number
-
+
11030232032 = 2519431792357
BaseRepresentation
bin10100100010111001…
…11111101111100000
31001110201022211210022
422101130333233200
5140042214411112
65022304053012
7540224265611
oct122134775740
931421284708
1011030232032
114750307646
12217a004168
13106a281121
14768cddc08
15448561d72
hex29173fbe0

11030232032 has 96 divisors (see below), whose sum is σ = 23530953600. Its totient is φ = 5072675328.

The previous prime is 11030232019. The next prime is 11030232053. The reversal of 11030232032 is 23023203011.

It is a self number, because there is not a number n which added to its sum of digits gives 11030232032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4678598 + ... + 4680954.

It is an arithmetic number, because the mean of its divisors is an integer number (245114100).

Almost surely, 211030232032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11030232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11765476800).

11030232032 is an abundant number, since it is smaller than the sum of its proper divisors (12500721568).

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

11030232032 is a wasteful number, since it uses less digits than its factorization.

11030232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 11030232032 its reverse (23023203011), we get a palindrome (34053435043).

The spelling of 11030232032 in words is "eleven billion, thirty million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 43 76 86 152 172 179 304 344 358 608 688 716 817 1376 1432 1634 2357 2864 3268 3401 4714 5728 6536 6802 7697 9428 13072 13604 15394 18856 26144 27208 30788 37712 44783 54416 61576 75424 89566 101351 108832 123152 146243 179132 202702 246304 292486 358264 405404 421903 584972 716528 810808 843806 1169944 1433056 1621616 1687612 1925669 2339888 3243232 3375224 3851338 4679776 6750448 7702676 8016157 13500896 15405352 16032314 18141829 30810704 32064628 36283658 61621408 64129256 72567316 128258512 145134632 256517024 290269264 344694751 580538528 689389502 1378779004 2757558008 5515116016 11030232032