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11130032322 = 23229197108233
BaseRepresentation
bin10100101110110011…
…01101000011000010
31001201200010020001100
422113121231003002
5140243242013242
65040231115230
7542545466553
oct122731550302
931650106040
1011130032322
1147a1682022
1221a7512b16
131084b54a56
1477827c32a
154521c754c
hex29766d0c2

11130032322 has 48 divisors (see below), whose sum is σ = 25073488440. Its totient is φ = 3563863296.

The previous prime is 11130032321. The next prime is 11130032369. The reversal of 11130032322 is 22323003111.

11130032322 is a `hidden beast` number, since 1 + 11 + 300 + 32 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11086194681 + 43837641 = 105291^2 + 6621^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11130032295 and 11130032304.

It is not an unprimeable number, because it can be changed into a prime (11130032321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48718 + ... + 156950.

Almost surely, 211130032322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11130032322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12536744220).

11130032322 is an abundant number, since it is smaller than the sum of its proper divisors (13943456118).

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

11130032322 is a wasteful number, since it uses less digits than its factorization.

11130032322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108467 (or 108464 counting only the distinct ones).

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

Adding to 11130032322 its reverse (22323003111), we get a palindrome (33453035433).

The spelling of 11130032322 in words is "eleven billion, one hundred thirty million, thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 197 261 394 522 591 1182 1773 3546 5713 11426 17139 34278 51417 102834 108233 216466 324699 649398 974097 1948194 3138757 6277514 9416271 18832542 21321901 28248813 42643802 56497626 63965703 127931406 191897109 383794218 618335129 1236670258 1855005387 3710010774 5565016161 11130032322