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11033013402 = 234292471723
BaseRepresentation
bin10100100011001111…
…00110110010011010
31001110220120011010000
422101213212302122
5140043422412102
65022443433430
7540260031555
oct122147466232
931426504100
1011033013402
1147519372a4
12217ab25876
13106aa160c8
1476942569c
1544891101c
hex2919e6c9a

11033013402 has 120 divisors (see below), whose sum is σ = 26163948096. Its totient is φ = 3473287776.

The previous prime is 11033013371. The next prime is 11033013403. The reversal of 11033013402 is 20431033011.

11033013402 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110330134022 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11033013403) 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 59 ways as a sum of consecutive naturals, for example, 6402513 + ... + 6404235.

Almost surely, 211033013402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11033013402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13081974048).

11033013402 is an abundant number, since it is smaller than the sum of its proper divisors (15130934694).

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

11033013402 is a wasteful number, since it uses less digits than its factorization.

11033013402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11033013402 its reverse (20431033011), we get a palindrome (31464046413).

The spelling of 11033013402 in words is "eleven billion, thirty-three million, thirteen thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 29 47 54 58 81 87 94 141 162 174 261 282 423 522 783 841 846 1269 1363 1566 1682 1723 2349 2523 2538 2726 3446 3807 4089 4698 5046 5169 7569 7614 8178 10338 12267 15138 15507 22707 24534 31014 36801 39527 45414 46521 49967 68121 73602 79054 80981 93042 99934 110403 118581 136242 139563 149901 161962 220806 237162 242943 279126 299802 355743 449703 485886 711486 728829 899406 1067229 1349109 1449043 1457658 2134458 2186487 2348449 2698218 2898086 3201687 4047327 4347129 4372974 4696898 6403374 6559461 7045347 8094654 8694258 13041387 13118922 14090694 21136041 26082774 39124161 42272082 63408123 68105021 78248322 117372483 126816246 136210042 190224369 204315063 234744966 380448738 408630126 612945189 1225890378 1838835567 3677671134 5516506701 11033013402