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11323101000 = 2335397167233
BaseRepresentation
bin10101000101110100…
…01100111101001000
31002020010102010111010
422202322030331020
5141142203213000
65111325203520
7550411525161
oct124272147510
932203363433
1011323101000
114890660412
1222401005a0
1310b5b53183
14795b78768
15464112d50
hex2a2e8cf48

11323101000 has 256 divisors, whose sum is σ = 36060111360. Its totient is φ = 2957721600.

The previous prime is 11323100993. The next prime is 11323101001. The reversal of 11323101000 is 10132311.

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

It is not an unprimeable number, because it can be changed into a prime (11323101001) 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, 48596884 + ... + 48597116.

It is an arithmetic number, because the mean of its divisors is an integer number (140859810).

Almost surely, 211323101000 is an apocalyptic number.

11323101000 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 11323101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18030055680).

11323101000 is an abundant number, since it is smaller than the sum of its proper divisors (24737010360).

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

11323101000 is a wasteful number, since it uses less digits than its factorization.

11323101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 507 counting only the distinct ones).

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

Adding to 11323101000 its reverse (10132311), we get a palindrome (11333233311).

The spelling of 11323101000 in words is "eleven billion, three hundred twenty-three million, one hundred one thousand".