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301303132000031 = 71913837316371959
BaseRepresentation
bin100010010000010001001101…
…0001001110000111100011111
31110111211022001022201010102102
41010200202122021300330133
5303443022303243000111
62544452425321315315
7120315301330635050
oct10440423211607437
91414738038633372
10301303132000031
1188005a3906a697
1229962695335b3b
13cc179c034c6c5
145459213d48727
1524c78bc6ee13b
hex112089a270f1f

301303132000031 has 16 divisors (see below), whose sum is σ = 362472574886400. Its totient is φ = 244665421816608.

The previous prime is 301303131999983. The next prime is 301303132000043. The reversal of 301303132000031 is 130000231303103.

It is not a de Polignac number, because 301303132000031 - 210 = 301303131999007 is a prime.

It is a super-2 number, since 2×3013031320000312 (a number of 30 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 = 301303131999967 and 301303132000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301303132000051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10217630 + ... + 26589588.

It is an arithmetic number, because the mean of its divisors is an integer number (22654535930400).

Almost surely, 2301303132000031 is an apocalyptic number.

301303132000031 is a deficient number, since it is larger than the sum of its proper divisors (61169442886369).

301303132000031 is a wasteful number, since it uses less digits than its factorization.

301303132000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16510358.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 301303132000031 its reverse (130000231303103), we get a palindrome (431303363303134).

The spelling of 301303132000031 in words is "three hundred one trillion, three hundred three billion, one hundred thirty-two million, thirty-one", and thus it is an aban number.

Divisors: 1 7 19 133 138373 968611 2629087 16371959 18403609 114603713 311067221 2177470547 2265437082707 15858059578949 43043304571433 301303132000031