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11132202440 = 235493356417
BaseRepresentation
bin10100101111000011…
…11110110111001000
31001201211012110220002
422113201332313020
5140244320434230
65040345422132
7542603105462
oct122741766710
931654173802
1011132202440
1147a2924507
1221a819a948
131085434748
14778685132
154524a5545
hex29787edc8

11132202440 has 32 divisors (see below), whose sum is σ = 25052977080. Its totient is φ = 4451899392.

The previous prime is 11132202439. The next prime is 11132202449. The reversal of 11132202440 is 4420223111.

It can be written as a sum of positive squares in 4 ways, for example, as 8513014756 + 2619187684 = 92266^2 + 51178^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11132202449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 169112 + ... + 225528.

Almost surely, 211132202440 is an apocalyptic number.

11132202440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132202440 is an abundant number, since it is smaller than the sum of its proper divisors (13920774640).

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

11132202440 is a wasteful number, since it uses less digits than its factorization.

11132202440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61361 (or 61357 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11132202440 its reverse (4420223111), we get a palindrome (15552425551).

The spelling of 11132202440 in words is "eleven billion, one hundred thirty-two million, two hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 4933 9866 19732 24665 39464 49330 56417 98660 112834 197320 225668 282085 451336 564170 1128340 2256680 278305061 556610122 1113220244 1391525305 2226440488 2783050610 5566101220 11132202440