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1100012210220 = 2235721144376781
BaseRepresentation
bin10000000000011101110…
…101100100100000101100
310220011022202001010000010
4100000131311210200230
5121010311111211340
62201201051133220
7142321220340600
oct20003565444054
93804282033003
101100012210220
11394570240790
12159233a44210
137c966491b61
143b352d65500
151d931ab3b80
hex1001dd6482c

1100012210220 has 288 divisors, whose sum is σ = 3917488893696. Its totient is φ = 228055027200.

The previous prime is 1100012210207. The next prime is 1100012210261. The reversal of 1100012210220 is 220122100011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1100012210196 and 1100012210205.

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, 14288230 + ... + 14365010.

It is an arithmetic number, because the mean of its divisors is an integer number (13602391992).

Almost surely, 21100012210220 is an apocalyptic number.

1100012210220 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 1100012210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958744446848).

1100012210220 is an abundant number, since it is smaller than the sum of its proper divisors (2817476683476).

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

1100012210220 is a wasteful number, since it uses less digits than its factorization.

1100012210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77261 (or 77252 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1100012210220 its reverse (220122100011), we get a palindrome (1320134310231).

The spelling of 1100012210220 in words is "one trillion, one hundred billion, twelve million, two hundred ten thousand, two hundred twenty".