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120431134021 = 1131438213267
BaseRepresentation
bin111000000101001000…
…0010100010101000101
3102111212001102111012011
41300022100110111011
53433120332242041
6131154133054221
711462252514622
oct1601220242505
9374761374164
10120431134021
1147090265530
121b410187371
13b483609b63
145b866d3349
1531ecc68e81
hex1c0a414545

120431134021 has 16 divisors (see below), whose sum is σ = 138771376128. Its totient is φ = 103487151600.

The previous prime is 120431134007. The next prime is 120431134039.

120431134021 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 120431134021 - 25 = 120431133989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120431133983 and 120431134001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120431134081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4091971 + ... + 4121296.

It is an arithmetic number, because the mean of its divisors is an integer number (8673211008).

Almost surely, 2120431134021 is an apocalyptic number.

120431134021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120431134021 is a deficient number, since it is larger than the sum of its proper divisors (18340242107).

120431134021 is a wasteful number, since it uses less digits than its factorization.

120431134021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8213352.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 120431 and 134021, that added together give a palindrome (254452).

The spelling of 120431134021 in words is "one hundred twenty billion, four hundred thirty-one million, one hundred thirty-four thousand, twenty-one".

Divisors: 1 11 31 43 341 473 1333 14663 8213267 90345937 254611277 353170481 2800724047 3884875291 10948284911 120431134021