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11132022000 = 24353111511117
BaseRepresentation
bin10100101111000010…
…10010110011110000
31001201210212022101010
422113201102303300
5140244244201000
65040341510520
7542601424431
oct122741226360
931653768333
1011132022000
1147a2810990
1221a8112440
1310853a0588
14778639488
1545246bd50
hex297852cf0

11132022000 has 320 divisors, whose sum is σ = 39446903808. Its totient is φ = 2678400000.

The previous prime is 11132021987. The next prime is 11132022007. The reversal of 11132022000 is 22023111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132022007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9965442 + ... + 9966558.

Almost surely, 211132022000 is an apocalyptic number.

11132022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19723451904).

11132022000 is an abundant number, since it is smaller than the sum of its proper divisors (28314881808).

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

11132022000 is a wasteful number, since it uses less digits than its factorization.

11132022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11132022000 its reverse (22023111), we get a palindrome (11154045111).

The spelling of 11132022000 in words is "eleven billion, one hundred thirty-two million, twenty-two thousand".