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1100201020020 = 22325174116752511
BaseRepresentation
bin10000000000101001000…
…101110100101001110100
310220011210220022122100200
4100000221011310221310
5121011202430120040
62201231514040500
7142326002240514
oct20005105645164
93804726278320
101100201020020
11394657880343
12159287119130
137c99662b92b
143b370073844
151d94345c630
hex10029174a74

1100201020020 has 288 divisors, whose sum is σ = 3641516476416. Its totient is φ = 267775795200.

The previous prime is 1100201019989. The next prime is 1100201020033. The reversal of 1100201020020 is 200201020011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100201019984 and 1100201020011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20925565 + ... + 20978075.

It is an arithmetic number, because the mean of its divisors is an integer number (12644154432).

Almost surely, 21100201020020 is an apocalyptic number.

1100201020020 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 1100201020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820758238208).

1100201020020 is an abundant number, since it is smaller than the sum of its proper divisors (2541315456396).

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

1100201020020 is a wasteful number, since it uses less digits than its factorization.

1100201020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52751 (or 52746 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1100201020020 its reverse (200201020011), we get a palindrome (1300402040031).

Subtracting from 1100201020020 its reverse (200201020011), we obtain a palindrome (900000000009).

The spelling of 1100201020020 in words is "one trillion, one hundred billion, two hundred one million, twenty thousand, twenty".