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12011311120031 = 173169222956047
BaseRepresentation
bin1010111011001001100111…
…1011101011111010011111
31120112021021220221112110222
42232302121323223322133
53033243131121320111
641313530430351555
72346534325650566
oct256623173537237
946467256845428
1012011311120031
113910a71aa1793
12141ba5795b5bb
1369187ac09612
142d74c9d18bdd
1515c695e687db
hexaec99eebe9f

12011311120031 has 8 divisors (see below), whose sum is σ = 12721872098880. Its totient is φ = 11301196059648.

The previous prime is 12011311120009. The next prime is 12011311120057. The reversal of 12011311120031 is 13002111311021.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12011311120031 is a prime.

It is a super-2 number, since 2×120113111200312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12011311119991 and 12011311120009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011311120231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111424151 + ... + 111531896.

It is an arithmetic number, because the mean of its divisors is an integer number (1590234012360).

Almost surely, 212011311120031 is an apocalyptic number.

12011311120031 is a deficient number, since it is larger than the sum of its proper divisors (710560978849).

12011311120031 is a wasteful number, since it uses less digits than its factorization.

12011311120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222959233.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 12011311120031 its reverse (13002111311021), we get a palindrome (25013422431052).

The spelling of 12011311120031 in words is "twelve trillion, eleven billion, three hundred eleven million, one hundred twenty thousand, thirty-one".

Divisors: 1 17 3169 53873 222956047 3790252799 706547712943 12011311120031