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111221212210020 = 2232511617183307509
BaseRepresentation
bin11001010010011110110100…
…110110000110001101100100
3112120210122101111202210212200
4121102132310312012031210
5104034222020311210040
61032314153003414500
732266316215160523
oct3122366466061544
9476718344683780
10111221212210020
1132490718841670
12105834bab24430
134a0a166441a13
141d671c773c4ba
15ccd1bb7b7630
hex6527b4d86364

111221212210020 has 1152 divisors, whose sum is σ = 385920859484160. Its totient is φ = 25697419776000.

The previous prime is 111221212210013. The next prime is 111221212210093. The reversal of 111221212210020 is 20012212122111.

111221212210020 is a `hidden beast` number, since 1 + 1 + 1 + 221 + 212 + 210 + 0 + 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 = 111221212209975 and 111221212210002.

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 383 ways as a sum of consecutive naturals, for example, 218509257526 + ... + 218509258034.

It is an arithmetic number, because the mean of its divisors is an integer number (335000746080).

Almost surely, 2111221212210020 is an apocalyptic number.

111221212210020 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 111221212210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192960429742080).

111221212210020 is an abundant number, since it is smaller than the sum of its proper divisors (274699647274140).

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

111221212210020 is a wasteful number, since it uses less digits than its factorization.

111221212210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111221212210020 its reverse (20012212122111), we get a palindrome (131233424332131).

The spelling of 111221212210020 in words is "one hundred eleven trillion, two hundred twenty-one billion, two hundred twelve million, two hundred ten thousand, twenty".