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11222313020100 = 223252713372101991
BaseRepresentation
bin1010001101001110010111…
…1110110010101011000100
31110201211202021211020010200
42203103211332302223010
52432331244113120400
635511243123050500
72235533243524140
oct243234576625304
943654667736120
1011222313020100
1136373a1153396
121312b61b10a30
1363534b3a13b0
142ab23cbda220
15146db898db00
hexa34e5fb2ac4

11222313020100 has 1296 divisors, whose sum is σ = 44980787045376. Its totient is φ = 2278679040000.

The previous prime is 11222313020099. The next prime is 11222313020101. The reversal of 11222313020100 is 102031322211.

11222313020100 is a `hidden beast` number, since 1 + 122 + 231 + 302 + 0 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11222313020099) and next prime (11222313020101).

It is a super-2 number, since 2×112223130201002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11222313020101) by changing a digit.

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 431 ways as a sum of consecutive naturals, for example, 11324230605 + ... + 11324231595.

Almost surely, 211222313020100 is an apocalyptic number.

11222313020100 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 11222313020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22490393522688).

11222313020100 is an abundant number, since it is smaller than the sum of its proper divisors (33758474025276).

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

11222313020100 is a wasteful number, since it uses less digits than its factorization.

11222313020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1159 counting only the distinct ones).

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

Adding to 11222313020100 its reverse (102031322211), we get a palindrome (11324344342311).

The spelling of 11222313020100 in words is "eleven trillion, two hundred twenty-two billion, three hundred thirteen million, twenty thousand, one hundred".