Search a number
-
+
120231033120031 = 1742967316459991
BaseRepresentation
bin11011010101100101111000…
…000001010010010100011111
3120202200222022102100120001211
4123111211320001102110133
5111224331123434320111
61103413212450245251
734216256040252601
oct3325457001222437
9522628272316054
10120231033120031
1135344770863849
12115996b5886827
135211978b76262
1421992da889171
15dd7742278521
hex6d597805251f

120231033120031 has 8 divisors (see below), whose sum is σ = 127303750846944. Its totient is φ = 113158349172480.

The previous prime is 120231033119993. The next prime is 120231033120047. The reversal of 120231033120031 is 130021330132021.

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 120231033120031 - 241 = 118032009864479 is a prime.

It is a super-2 number, since 2×1202310331200312 (a number of 29 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 = 120231033119984 and 120231033120011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120231033120091) 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, 925555 + ... + 15534436.

It is an arithmetic number, because the mean of its divisors is an integer number (15912968855868).

Almost surely, 2120231033120031 is an apocalyptic number.

120231033120031 is a deficient number, since it is larger than the sum of its proper divisors (7072717726913).

120231033120031 is a wasteful number, since it uses less digits than its factorization.

120231033120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16889681.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 120231033120031 its reverse (130021330132021), we get a palindrome (250252363252052).

The spelling of 120231033120031 in words is "one hundred twenty trillion, two hundred thirty-one billion, thirty-three million, one hundred twenty thousand, thirty-one".

Divisors: 1 17 429673 7304441 16459991 279819847 7072413712943 120231033120031