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11322335034 = 234293177743
BaseRepresentation
bin10101000101101110…
…10001111100111010
31002020001222012210000
422202313101330322
5141142004210114
65111300533430
7550402155063
oct124267217472
932201865700
1011322335034
11489018798a
12223b9b1276
1310b594563a
14795a1956a
15464010e09
hex2a2dd1f3a

11322335034 has 80 divisors (see below), whose sum is σ = 27092229120. Its totient is φ = 3526377120.

The previous prime is 11322335029. The next prime is 11322335041. The reversal of 11322335034 is 43053322311.

11322335034 is a `hidden beast` number, since 1 + 1 + 322 + 335 + 0 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11322334989 and 11322335007.

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 39 ways as a sum of consecutive naturals, for example, 106767 + ... + 184509.

It is an arithmetic number, because the mean of its divisors is an integer number (338652864).

Almost surely, 211322335034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11322335034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13546114560).

11322335034 is an abundant number, since it is smaller than the sum of its proper divisors (15769894086).

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

11322335034 is a wasteful number, since it uses less digits than its factorization.

11322335034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77817 (or 77808 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 11322335034 its reverse (43053322311), we get a palindrome (54375657345).

The spelling of 11322335034 in words is "eleven billion, three hundred twenty-two million, three hundred thirty-five thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 29 31 54 58 62 81 87 93 162 174 186 261 279 522 558 783 837 899 1566 1674 1798 2349 2511 2697 4698 5022 5394 8091 16182 24273 48546 72819 77743 145638 155486 233229 466458 699687 1399374 2099061 2254547 2410033 4198122 4509094 4820066 6297183 6763641 7230099 12594366 13527282 14460198 20290923 21690297 40581846 43380594 60872769 65070891 69890957 121745538 130141782 139781914 182618307 195212673 209672871 365236614 390425346 419345742 629018613 1258037226 1887055839 3774111678 5661167517 11322335034