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11121231000 = 2335311230637
BaseRepresentation
bin10100101101110000…
…01000010010011000
31001201001120001220110
422112320020102120
5140234013343000
65035314324320
7542410621665
oct122670102230
931631501813
1011121231000
114797710500
1221a45896a0
131083092979
1477702aa6c
15451539850
hex296e08498

11121231000 has 192 divisors, whose sum is σ = 38140633440. Its totient is φ = 2695968000.

The previous prime is 11121230977. The next prime is 11121231049. The reversal of 11121231000 is 13212111.

It is a super-2 number, since 2×111212310002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347682 + ... + 378318.

Almost surely, 211121231000 is an apocalyptic number.

11121231000 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 11121231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19070316720).

11121231000 is an abundant number, since it is smaller than the sum of its proper divisors (27019402440).

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

11121231000 is a wasteful number, since it uses less digits than its factorization.

11121231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30683 (or 30658 counting only the distinct ones).

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

Adding to 11121231000 its reverse (13212111), we get a palindrome (11134443111).

The spelling of 11121231000 in words is "eleven billion, one hundred twenty-one million, two hundred thirty-one thousand".