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1110022410420 = 2232573111634453
BaseRepresentation
bin10000001001110010011…
…111011101000010110100
310221010011100222222011200
4100021302133131002310
5121141311214113140
62205534240332500
7143124250545000
oct20116237350264
93833140888150
101110022410420
11398837792310
1215b168314130
13808a0311041
143ba225c1700
151dd1a7d9030
hex102727dd0b4

1110022410420 has 288 divisors, whose sum is σ = 4283577043200. Its totient is φ = 230653866240.

The previous prime is 1110022410401. The next prime is 1110022410481. The reversal of 1110022410420 is 240142200111.

1110022410420 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 0 + 2 + 241 + 0 + 420 = 666.

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 = 1110022410393 and 1110022410402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138087 + ... + 1496366.

It is an arithmetic number, because the mean of its divisors is an integer number (14873531400).

Almost surely, 21110022410420 is an apocalyptic number.

1110022410420 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 1110022410420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141788521600).

1110022410420 is an abundant number, since it is smaller than the sum of its proper divisors (3173554632780).

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

1110022410420 is a wasteful number, since it uses less digits than its factorization.

1110022410420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634500 (or 1634481 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1110022410420 its reverse (240142200111), we get a palindrome (1350164610531).

The spelling of 1110022410420 in words is "one trillion, one hundred ten billion, twenty-two million, four hundred ten thousand, four hundred twenty".