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103331010310131 = 31931184573168349
BaseRepresentation
bin10111011111101010100000…
…001010011110111111110011
3111112212100101202212210210210
4113133222200022132333303
5102020433402114411011
61003433335533555203
730523263522462312
oct2737524012367763
9445770352783723
10103331010310131
112aa1948753912a
12b70a2aa345b03
1345870c3276786
141b73367528279
15be2d23d676a6
hex5dfaa029eff3

103331010310131 has 32 divisors (see below), whose sum is σ = 149712395008000. Its totient is φ = 63153033143040.

The previous prime is 103331010310123. The next prime is 103331010310139. The reversal of 103331010310131 is 131013010133301.

It is an interprime number because it is at equal distance from previous prime (103331010310123) and next prime (103331010310139).

It is not a de Polignac number, because 103331010310131 - 23 = 103331010310123 is a prime.

It is a super-2 number, since 2×1033310103101312 (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 = 103331010310098 and 103331010310107.

It is not an unprimeable number, because it can be changed into a prime (103331010310139) 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 31 ways as a sum of consecutive naturals, for example, 31029345 + ... + 34197693.

It is an arithmetic number, because the mean of its divisors is an integer number (4678512344000).

Almost surely, 2103331010310131 is an apocalyptic number.

103331010310131 is a deficient number, since it is larger than the sum of its proper divisors (46381384697869).

103331010310131 is a wasteful number, since it uses less digits than its factorization.

103331010310131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186859.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 103331010310131 its reverse (131013010133301), we get a palindrome (234344020443432).

The spelling of 103331010310131 in words is "one hundred three trillion, three hundred thirty-one billion, ten million, three hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 19 31 57 93 589 1767 18457 55371 350683 572167 1052049 1716501 3168349 9505047 10871173 32613519 60198631 98218819 180595893 294656457 1866157561 5598472683 58478217493 175434652479 1111086132367 1812824742283 3333258397101 5438474226849 34443670103377 103331010310131