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11211201023220 = 223251137589725951
BaseRepresentation
bin1010001100100100111110…
…1001111000110011110100
31110200210001212122022001200
42203021033221320303310
52432141014430220340
635502204334252500
72234661004231602
oct243111751706364
943623055568050
1011211201023220
11363270977a6a0
121310980657130
1363429a1c2803
142aa8a70d4872
1514696817a330
hexa324fa78cf4

11211201023220 has 288 divisors, whose sum is σ = 38109485546496. Its totient is φ = 2643860736000.

The previous prime is 11211201023203. The next prime is 11211201023291. The reversal of 11211201023220 is 2232010211211.

11211201023220 is a `hidden beast` number, since 1 + 1 + 211 + 201 + 0 + 232 + 20 = 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 = 11211201023193 and 11211201023202.

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 95 ways as a sum of consecutive naturals, for example, 432001245 + ... + 432027195.

It is an arithmetic number, because the mean of its divisors is an integer number (132324602592).

Almost surely, 211211201023220 is an apocalyptic number.

11211201023220 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 11211201023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19054742773248).

11211201023220 is an abundant number, since it is smaller than the sum of its proper divisors (26898284523276).

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

11211201023220 is a wasteful number, since it uses less digits than its factorization.

11211201023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31911 (or 31906 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11211201023220 its reverse (2232010211211), we get a palindrome (13443211234431).

The spelling of 11211201023220 in words is "eleven trillion, two hundred eleven billion, two hundred one million, twenty-three thousand, two hundred twenty".