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31131103200301 = 1315233157204769
BaseRepresentation
bin1110001010000010001100…
…10110010000010000101101
311002020002211002220210220101
413011001012112100100231
513040022444404402201
6150113233102151101
76362101521065056
oct705010626202055
9132202732823811
1031131103200301
119a12699196865
1235a94bb582491
13144a85c010b50
14798a795d172d
1538ebd116cd01
hex1c504659042d

31131103200301 has 8 divisors (see below), whose sum is σ = 33528004526520. Its totient is φ = 28734516314112.

The previous prime is 31131103200293. The next prime is 31131103200317. The reversal of 31131103200301 is 10300230113113.

It can be written as a sum of positive squares in 4 ways, for example, as 178737855076 + 30952365345225 = 422774^2 + 5563485^2 .

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 31131103200301 - 23 = 31131103200293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31131103201301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78404356 + ... + 78800413.

It is an arithmetic number, because the mean of its divisors is an integer number (4191000565815).

Almost surely, 231131103200301 is an apocalyptic number.

It is an amenable number.

31131103200301 is a deficient number, since it is larger than the sum of its proper divisors (2396901326219).

31131103200301 is a wasteful number, since it uses less digits than its factorization.

31131103200301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157220015.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 31131103200301 its reverse (10300230113113), we get a palindrome (41431333313414).

The spelling of 31131103200301 in words is "thirty-one trillion, one hundred thirty-one billion, one hundred three million, two hundred thousand, three hundred one".

Divisors: 1 13 15233 198029 157204769 2043661997 2394700246177 31131103200301