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11001210000 = 2435411173753
BaseRepresentation
bin10100011111011100…
…10010010010010000
31001101200201101001020
422033232102102100
5140012302210000
65015350035440
7536422512354
oct121756222220
931350641036
1011001210000
1147359949a0
122170348b80
13106425c321
14765107464
15445c2cba0
hex28fb92490

11001210000 has 800 divisors, whose sum is σ = 42924359808. Its totient is φ = 2396160000.

The previous prime is 11001209981. The next prime is 11001210019. The reversal of 11001210000 is 1210011.

It is an interprime number because it is at equal distance from previous prime (11001209981) and next prime (11001210019).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 207569974 + ... + 207570026.

Almost surely, 211001210000 is an apocalyptic number.

11001210000 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 11001210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21462179904).

11001210000 is an abundant number, since it is smaller than the sum of its proper divisors (31923149808).

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

11001210000 is a wasteful number, since it uses less digits than its factorization.

11001210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11001210000 its reverse (1210011), we get a palindrome (11002420011).

It can be divided in two parts, 1100 and 1210000, that multiplied together give a cube (1331000000 = 11003).

The spelling of 11001210000 in words is "eleven billion, one million, two hundred ten thousand".