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11142032220 = 223351117110339
BaseRepresentation
bin10100110000001110…
…11110101101011100
31001202111200212211000
422120013132231130
5140304330012340
65041340230300
7543052465644
oct123007365534
931674625730
1011142032220
1147a84287a0
1221ab53b390
131087496997
14779ac3524
15453297d30
hex2981deb5c

11142032220 has 192 divisors, whose sum is σ = 40040179200. Its totient is φ = 2542187520.

The previous prime is 11142032191. The next prime is 11142032249. The reversal of 11142032220 is 2223024111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11142032191) and next prime (11142032249).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11142032193 and 11142032202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45811 + ... + 156149.

It is an arithmetic number, because the mean of its divisors is an integer number (208542600).

Almost surely, 211142032220 is an apocalyptic number.

11142032220 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 11142032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20020089600).

11142032220 is an abundant number, since it is smaller than the sum of its proper divisors (28898146980).

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

11142032220 is a wasteful number, since it uses less digits than its factorization.

11142032220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110385 (or 110377 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11142032220 its reverse (2223024111), we get a palindrome (13365056331).

The spelling of 11142032220 in words is "eleven billion, one hundred forty-two million, thirty-two thousand, two hundred twenty".