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11197410000 = 24354771751
BaseRepresentation
bin10100110110110101…
…01110101011010000
31001220100220100211220
422123122232223100
5140413014110000
65051035205040
7544324262130
oct123332565320
931810810756
1011197410000
114826711957
122205ba6780
131095ab5aba
147831baac0
154580861a0
hex29b6aead0

11197410000 has 400 divisors, whose sum is σ = 41948172288. Its totient is φ = 2520000000.

The previous prime is 11197409987. The next prime is 11197410013. The reversal of 11197410000 is 1479111.

It is an interprime number because it is at equal distance from previous prime (11197409987) and next prime (11197410013).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14909625 + ... + 14910375.

Almost surely, 211197410000 is an apocalyptic number.

11197410000 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 11197410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20974086144).

11197410000 is an abundant number, since it is smaller than the sum of its proper divisors (30750762288).

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

11197410000 is an equidigital number, since it uses as much as digits as its factorization.

11197410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 24.

Adding to 11197410000 its reverse (1479111), we get a palindrome (11198889111).

The spelling of 11197410000 in words is "eleven billion, one hundred ninety-seven million, four hundred ten thousand".