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11132012000 = 255343611061
BaseRepresentation
bin10100101111000010…
…10000010111100000
31001201210211210122202
422113201100113200
5140244243341000
65040341352332
7542601353324
oct122741202740
931653753582
1011132012000
1147a280441a
1221a81086a8
131085398b65
14778635984
15452468dd5
hex2978505e0

11132012000 has 192 divisors, whose sum is σ = 28473052608. Its totient is φ = 4273920000.

The previous prime is 11132011999. The next prime is 11132012033. The reversal of 11132012000 is 21023111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10491470 + ... + 10492530.

It is an arithmetic number, because the mean of its divisors is an integer number (148297149).

Almost surely, 211132012000 is an apocalyptic number.

11132012000 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 11132012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14236526304).

11132012000 is an abundant number, since it is smaller than the sum of its proper divisors (17341040608).

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

11132012000 is a wasteful number, since it uses less digits than its factorization.

11132012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 11132012000 its reverse (21023111), we get a palindrome (11153035111).

The spelling of 11132012000 in words is "eleven billion, one hundred thirty-two million, twelve thousand".