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120011011021 = 1117216339391
BaseRepresentation
bin110111111000100110…
…1101011001111001101
3102110202202220000210001
41233301031223033031
53431240304323041
6131044324244301
711445661522336
oct1576115531715
9373682800701
10120011011021
11469950a5940
121b313540691
13b417571175
145b469b128d
1531c5e2d131
hex1bf136b3cd

120011011021 has 8 divisors (see below), whose sum is σ = 130997196288. Its totient is φ = 109037508000.

The previous prime is 120011011009. The next prime is 120011011039. The reversal of 120011011021 is 120110110021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120011011021 - 211 = 120011008973 is a prime.

It is a super-3 number, since 3×1200110110213 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120011010989 and 120011011007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120011011621) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3150765 + ... + 3188626.

It is an arithmetic number, because the mean of its divisors is an integer number (16374649536).

Almost surely, 2120011011021 is an apocalyptic number.

120011011021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120011011021 is a deficient number, since it is larger than the sum of its proper divisors (10986185267).

120011011021 is a wasteful number, since it uses less digits than its factorization.

120011011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6341123.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 120011011021 its reverse (120110110021), we get a palindrome (240121121042).

The spelling of 120011011021 in words is "one hundred twenty billion, eleven million, eleven thousand, twenty-one".

Divisors: 1 11 1721 18931 6339391 69733301 10910091911 120011011021