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11022011000 = 235372113132
BaseRepresentation
bin10100100001111011…
…01000101001111000
31001110010212011122122
422100331220221320
5140033113323000
65021411540412
7540064355600
oct122075505170
931403764578
1011022011000
114746702000
1221772ba708
131068663200
14767b9dc00
1544798b085
hex290f68a78

11022011000 has 576 divisors, whose sum is σ = 35734102560. Its totient is φ = 3171168000.

The previous prime is 11022010997. The next prime is 11022011027. The reversal of 11022011000 is 11022011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 847846994 + ... + 847847006.

Almost surely, 211022011000 is an apocalyptic number.

11022011000 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 11022011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17867051280).

11022011000 is an abundant number, since it is smaller than the sum of its proper divisors (24712091560).

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

11022011000 is a wasteful number, since it uses less digits than its factorization.

11022011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11022011000 its reverse (11022011), we get a palindrome (11033033011).

11022011000 divided by its reverse (11022011) gives a cube (1000 = 103).

It can be divided in two parts, 1102 and 2011000, that added together give a palindrome (2012102).

The spelling of 11022011000 in words is "eleven billion, twenty-two million, eleven thousand".