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11132200314 = 2321433431581
BaseRepresentation
bin10100101111000011…
…11110010101111010
31001201211012100222100
422113201332111322
5140244320402224
65040345404230
7542603066334
oct122741762572
931654170870
1011132200314
1147a2922954
1221a8199676
1310854337a1
14778684454
154524a4ac9
hex29787e57a

11132200314 has 24 divisors (see below), whose sum is σ = 24136654932. Its totient is φ = 3708135360.

The previous prime is 11132200309. The next prime is 11132200319. The reversal of 11132200314 is 41300223111.

It is an interprime number because it is at equal distance from previous prime (11132200309) and next prime (11132200319).

It can be written as a sum of positive squares in 2 ways, for example, as 10688044689 + 444155625 = 103383^2 + 21075^2 .

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 (11132200319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189997 + ... + 241584.

Almost surely, 211132200314 is an apocalyptic number.

11132200314 is an abundant number, since it is smaller than the sum of its proper divisors (13004454618).

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

11132200314 is a wasteful number, since it uses less digits than its factorization.

11132200314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433022 (or 433019 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11132200314 its reverse (41300223111), we get a palindrome (52432423425).

The spelling of 11132200314 in words is "eleven billion, one hundred thirty-two million, two hundred thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 1433 2866 4299 8598 12897 25794 431581 863162 1294743 2589486 3884229 7768458 618455573 1236911146 1855366719 3710733438 5566100157 11132200314