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100020320313101 = 4011908113072021
BaseRepresentation
bin10110101111011111001011…
…101010011001111100001101
3111010010211221002120101111122
4112233133023222121330031
5101102213104000004401
6552420411213330325
730032141531020466
oct2657371352317415
9433124832511448
10100020320313101
112996241a324171
12b274736a969a5
1343a6b4ccb1456
141a9b01b877d6d
15b86b5870d21b
hex5af7cba99f0d

100020320313101 has 8 divisors (see below), whose sum is σ = 100275010169208. Its totient is φ = 99765656640000.

The previous prime is 100020320313097. The next prime is 100020320313187. The reversal of 100020320313101 is 101313023020001.

It can be written as a sum of positive squares in 4 ways, for example, as 63103164062500 + 36917156250601 = 7943750^2 + 6075949^2 .

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 100020320313101 - 22 = 100020320313097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100020320313101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020320313191) 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 7 ways as a sum of consecutive naturals, for example, 1115471 + ... + 14187491.

It is an arithmetic number, because the mean of its divisors is an integer number (12534376271151).

Almost surely, 2100020320313101 is an apocalyptic number.

It is an amenable number.

100020320313101 is a deficient number, since it is larger than the sum of its proper divisors (254689856107).

100020320313101 is a wasteful number, since it uses less digits than its factorization.

100020320313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13091503.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100020320313101 its reverse (101313023020001), we get a palindrome (201333343333102).

The spelling of 100020320313101 in words is "one hundred trillion, twenty billion, three hundred twenty million, three hundred thirteen thousand, one hundred one".

Divisors: 1 401 19081 7651481 13072021 5241880421 249427232701 100020320313101