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11220134376 = 23311177723917
BaseRepresentation
bin10100111001100010…
…11010100111101000
31001221221122212211110
422130301122213220
5140434323300001
65053210230320
7545021366013
oct123461324750
931857585743
1011220134376
114838523030
1222117253a0
13109a711289
1478621437a
1545a0743d6
hex29cc5a9e8

11220134376 has 64 divisors (see below), whose sum is σ = 30618866880. Its totient is φ = 3397985280.

The previous prime is 11220134347. The next prime is 11220134381. The reversal of 11220134376 is 67343102211.

It is a happy number.

11220134376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 457170 + ... + 481086.

It is an arithmetic number, because the mean of its divisors is an integer number (478419795).

Almost surely, 211220134376 is an apocalyptic number.

It is an amenable number.

11220134376 is an abundant number, since it is smaller than the sum of its proper divisors (19398732504).

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

11220134376 is a wasteful number, since it uses less digits than its factorization.

11220134376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25714 (or 25710 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 11220134376 its reverse (67343102211), we get a palindrome (78563236587).

The spelling of 11220134376 in words is "eleven billion, two hundred twenty million, one hundred thirty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1777 3554 5331 7108 10662 14216 19547 21324 23917 39094 42648 47834 58641 71751 78188 95668 117282 143502 156376 191336 234564 263087 287004 469128 526174 574008 789261 1052348 1578522 2104696 3157044 6314088 42500509 85001018 127501527 170002036 255003054 340004072 467505599 510006108 935011198 1020012216 1402516797 1870022396 2805033594 3740044792 5610067188 11220134376