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10031313101 = 149202933181
BaseRepresentation
bin10010101011110100…
…11011000011001101
3221220002200111121212
421111322123003031
5131021004004401
64335221504205
7503404516535
oct112572330315
927802614555
1010031313101
114288462007
121b3b572065
13c3b332034
146b23944c5
153da9e5dbb
hex255e9b0cd

10031313101 has 8 divisors (see below), whose sum is σ = 10103919000. Its totient is φ = 9958777920.

The previous prime is 10031313091. The next prime is 10031313107. The reversal of 10031313101 is 10131313001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2232657001 + 7798656100 = 47251^2 + 88310^2 .

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 10031313101 - 26 = 10031313037 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 (10031313107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285731 + ... + 318911.

It is an arithmetic number, because the mean of its divisors is an integer number (1262989875).

Almost surely, 210031313101 is an apocalyptic number.

It is an amenable number.

10031313101 is a deficient number, since it is larger than the sum of its proper divisors (72605899).

10031313101 is a wasteful number, since it uses less digits than its factorization.

10031313101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35359.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10031313101 its reverse (10131313001), we get a palindrome (20162626102).

The spelling of 10031313101 in words is "ten billion, thirty-one million, three hundred thirteen thousand, one hundred one".

Divisors: 1 149 2029 33181 302321 4943969 67324249 10031313101