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11022401010000 = 2435417372632221
BaseRepresentation
bin1010000001100101101001…
…0010111111100101010000
31110000201202002002220002110
42200121122102333211100
52421042334124310000
635235342054545320
72215225241501352
oct240313222774520
943021662086073
1011022401010000
11356a635020316
1212a026b968240
1361c53c37c263
142a16b66a10d2
15141ab80ea850
hexa065a4bf950

11022401010000 has 800 divisors, whose sum is σ = 38857674163968. Its totient is φ = 2680197120000.

The previous prime is 11022401009989. The next prime is 11022401010059. The reversal of 11022401010000 is 1010422011.

It is a happy number.

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 159 ways as a sum of consecutive naturals, for example, 4962808890 + ... + 4962811110.

Almost surely, 211022401010000 is an apocalyptic number.

11022401010000 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 11022401010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19428837081984).

11022401010000 is an abundant number, since it is smaller than the sum of its proper divisors (27835273153968).

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

11022401010000 is a wasteful number, since it uses less digits than its factorization.

11022401010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11022401010000 its reverse (1010422011), we get a palindrome (11023411432011).

The spelling of 11022401010000 in words is "eleven trillion, twenty-two billion, four hundred one million, ten thousand".