Search a number
-
+
11001002430 = 23511173752999
BaseRepresentation
bin10100011111011010…
…11111100110111110
31001101200022211022110
422033231133212332
5140012224034210
65015341354450
7536420656245
oct121755374676
931350284273
1011001002430
114735862a50
122170268a26
1310641b89c2
1476509195c
15445bdb420
hex28fb5f9be

11001002430 has 128 divisors (see below), whose sum is σ = 31321728000. Its totient is φ = 2442147840.

The previous prime is 11001002429. The next prime is 11001002437. The reversal of 11001002430 is 3420010011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001002437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181071 + ... + 234069.

It is an arithmetic number, because the mean of its divisors is an integer number (244701000).

Almost surely, 211001002430 is an apocalyptic number.

11001002430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001002430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15660864000).

11001002430 is an abundant number, since it is smaller than the sum of its proper divisors (20320725570).

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

11001002430 is a wasteful number, since it uses less digits than its factorization.

11001002430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53074.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11001002430 its reverse (3420010011), we get a palindrome (14421012441).

The spelling of 11001002430 in words is "eleven billion, one million, two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 37 51 55 66 74 85 102 110 111 165 170 185 187 222 255 330 370 374 407 510 555 561 629 814 935 1110 1122 1221 1258 1870 1887 2035 2442 2805 3145 3774 4070 5610 6105 6290 6919 9435 12210 13838 18870 20757 34595 41514 52999 69190 103785 105998 158997 207570 264995 317994 529990 582989 794985 900983 1165978 1589970 1748967 1801966 1960963 2702949 2914945 3497934 3921926 4504915 5405898 5829890 5882889 8744835 9009830 9804815 9910813 11765778 13514745 17489670 19609630 19821626 21570593 27029490 29414445 29732439 33336371 43141186 49554065 58828890 59464878 64711779 66672742 99108130 100009113 107852965 129423558 148662195 166681855 200018226 215705930 297324390 323558895 333363710 366700081 500045565 647117790 733400162 1000091130 1100100243 1833500405 2200200486 3667000810 5500501215 11001002430