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120211112021 = 71113521230501
BaseRepresentation
bin110111111110100100…
…1000000000001010101
3102111021201102012202012
41233331021000001111
53432143021041041
6131120233154005
711453641410230
oct1577511000125
9374251365665
10120211112021
1146a88047770
121b36a55b905
13b449b62420
145b653bc417
1531d87a73eb
hex1bfd240055

120211112021 has 32 divisors (see below), whose sum is σ = 161712827136. Its totient is φ = 86299200000.

The previous prime is 120211111961. The next prime is 120211112039.

120211112021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120211112021 - 26 = 120211111957 is a prime.

It is a super-2 number, since 2×1202111120212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120211111987 and 120211112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120211112071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406271 + ... + 636771.

It is an arithmetic number, because the mean of its divisors is an integer number (5053525848).

Almost surely, 2120211112021 is an apocalyptic number.

120211112021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120211112021 is a deficient number, since it is larger than the sum of its proper divisors (41501715115).

120211112021 is a wasteful number, since it uses less digits than its factorization.

120211112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231053.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 120211 and 112021, that added together give a palindrome (232232).

The spelling of 120211112021 in words is "one hundred twenty billion, two hundred eleven million, one hundred twelve thousand, twenty-one".

Divisors: 1 7 11 13 77 91 143 521 1001 3647 5731 6773 40117 47411 74503 230501 521521 1613507 2535511 2996513 17748577 20975591 32961643 120091021 230731501 840637147 1321001231 1561183273 9247008617 10928282911 17173016003 120211112021