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305400133031 = 7124934930817
BaseRepresentation
bin1000111000110110100…
…01000011010110100111
31002012021212020012122012
410130123101003112213
520000424413224111
6352144320424435
731031046204410
oct4343321032647
91065255205565
10305400133031
11108579460164
124b231a7811b
1322a508474b6
1410ad2400807
157e2680348b
hex471b4435a7

305400133031 has 8 divisors (see below), whose sum is σ = 349308180000. Its totient is φ = 261561950208.

The previous prime is 305400133007. The next prime is 305400133063. The reversal of 305400133031 is 130331004503.

It is a happy number.

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 305400133031 - 226 = 305333024167 is a prime.

It is a super-2 number, since 2×3054001330312 (a number of 24 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 = 305400132988 and 305400133006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305403133031) 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 7 ways as a sum of consecutive naturals, for example, 17456666 + ... + 17474151.

It is an arithmetic number, because the mean of its divisors is an integer number (43663522500).

Almost surely, 2305400133031 is an apocalyptic number.

305400133031 is a deficient number, since it is larger than the sum of its proper divisors (43908046969).

305400133031 is a wasteful number, since it uses less digits than its factorization.

305400133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34932073.

The product of its (nonzero) digits is 1620, while the sum is 23.

Adding to 305400133031 its reverse (130331004503), we get a palindrome (435731137534).

The spelling of 305400133031 in words is "three hundred five billion, four hundred million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 7 1249 8743 34930817 244515719 43628590433 305400133031