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11012331000 = 23353112231319
BaseRepresentation
bin10100100000110001…
…01101010111111000
31001102110122101012010
422100120231113320
5140023124043000
65020424245520
7536616161166
oct122030552770
931373571163
1011012331000
1147411a0300
1221740108a0
1310666541b8
147667a0236
15446bc7d50
hex29062d5f8

11012331000 has 384 divisors, whose sum is σ = 39437798400. Its totient is φ = 2551648000.

The previous prime is 11012330957. The next prime is 11012331091. The reversal of 11012331000 is 13321011.

It is a super-2 number, since 2×110123310002 (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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8348341 + ... + 8349659.

It is an arithmetic number, because the mean of its divisors is an integer number (102702600).

Almost surely, 211012331000 is an apocalyptic number.

11012331000 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 11012331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19718899200).

11012331000 is an abundant number, since it is smaller than the sum of its proper divisors (28425467400).

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

11012331000 is a wasteful number, since it uses less digits than its factorization.

11012331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11012331000 its reverse (13321011), we get a palindrome (11025652011).

The spelling of 11012331000 in words is "eleven billion, twelve million, three hundred thirty-one thousand".