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1011100011220 = 22513611572391699
BaseRepresentation
bin11101011011010100100…
…00011100101011010100
310120122211022001102022201
432231222100130223110
5113031213100324340
62052254250134244
7133023000201535
oct16555220345324
93518738042281
101011100011220
1135a894662692
12143b5b421384
1374466b3bb10
1436d1a70c68c
151b47aead79a
hexeb6a41cad4

1011100011220 has 192 divisors, whose sum is σ = 2350099584000. Its totient is φ = 363129661440.

The previous prime is 1011100011217. The next prime is 1011100011223. The reversal of 1011100011220 is 221100011101.

1011100011220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1011100011217) and next prime (1011100011223).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1011100011197 and 1011100011206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011100011223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 595113931 + ... + 595115629.

It is an arithmetic number, because the mean of its divisors is an integer number (12240102000).

Almost surely, 21011100011220 is an apocalyptic number.

1011100011220 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 1011100011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175049792000).

1011100011220 is an abundant number, since it is smaller than the sum of its proper divisors (1338999572780).

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

1011100011220 is a wasteful number, since it uses less digits than its factorization.

1011100011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1011100011220 its reverse (221100011101), we get a palindrome (1232200022321).

The spelling of 1011100011220 in words is "one trillion, eleven billion, one hundred million, eleven thousand, two hundred twenty".