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1102313012220 = 223657101106937
BaseRepresentation
bin10000000010100110111…
…110011011101111111100
310220101021002101222000000
4100002212332123233330
5121030014112342340
62202221241234300
7142432226002260
oct20024676335774
93811232358000
101102313012220
11395540a5a342
12159776492990
137cc42058064
143b4d07620a0
151da18a92d30
hex100a6f9bbfc

1102313012220 has 336 divisors, whose sum is σ = 4005822195648. Its totient is φ = 249460300800.

The previous prime is 1102313012209. The next prime is 1102313012231. The reversal of 1102313012220 is 222103132011.

1102313012220 is a `hidden beast` number, since 110 + 2 + 31 + 301 + 2 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (1102313012209) and next prime (1102313012231).

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 = 1102313012193 and 1102313012202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10254592 + ... + 10361528.

It is an arithmetic number, because the mean of its divisors is an integer number (11922089868).

Almost surely, 21102313012220 is an apocalyptic number.

1102313012220 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 1102313012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002911097824).

1102313012220 is an abundant number, since it is smaller than the sum of its proper divisors (2903509183428).

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

1102313012220 is a wasteful number, since it uses less digits than its factorization.

1102313012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107072 (or 107055 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1102313012220 its reverse (222103132011), we get a palindrome (1324416144231).

The spelling of 1102313012220 in words is "one trillion, one hundred two billion, three hundred thirteen million, twelve thousand, two hundred twenty".