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120020211011 = 679740494561
BaseRepresentation
bin110111111000111000…
…0110001010101000011
3102110210102012102210102
41233301300301111003
53431300133223021
6131045253353015
711446132650431
oct1576160612503
9373712172712
10120020211011
114699a309a38
121b31663876b
13b41944284c
145b47cc7d51
1531c6b4900b
hex1bf1c31543

120020211011 has 16 divisors (see below), whose sum is σ = 123124730400. Its totient is φ = 116955463680.

The previous prime is 120020210957. The next prime is 120020211107. The reversal of 120020211011 is 110112020021.

It is a cyclic number.

It is not a de Polignac number, because 120020211011 - 222 = 120016016707 is a prime.

It is a super-2 number, since 2×1200202110112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120020210983 and 120020211001.

It is not an unprimeable number, because it can be changed into a prime (120020211811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26312171 + ... + 26316731.

It is an arithmetic number, because the mean of its divisors is an integer number (7695295650).

Almost surely, 2120020211011 is an apocalyptic number.

120020211011 is a deficient number, since it is larger than the sum of its proper divisors (3104519389).

120020211011 is an equidigital number, since it uses as much as digits as its factorization.

120020211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8774.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120020211011 its reverse (110112020021), we get a palindrome (230132231032).

The spelling of 120020211011 in words is "one hundred twenty billion, twenty million, two hundred eleven thousand, eleven".

Divisors: 1 67 97 4049 4561 6499 271283 305587 392753 442417 18467489 26314451 29641939 1237321763 1791346433 120020211011