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100401243101 = 1013439722541
BaseRepresentation
bin101110110000001100…
…0010110001111011101
3100121011010122121022022
41131200120112033131
53121110204234401
6114042415025525
710153015325315
oct1354030261735
9317133577268
10100401243101
113964197aa75
121756020b2a5
139610997ab3
144c0646a445
15292959671b
hex17606163dd

100401243101 has 8 divisors (see below), whose sum is σ = 100527672024. Its totient is φ = 100274870080.

The previous prime is 100401243091. The next prime is 100401243113. The reversal of 100401243101 is 101342104001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2854337476 + 97546905625 = 53426^2 + 312325^2 .

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 100401243101 - 218 = 100400980957 is a prime.

It is a super-2 number, since 2×1004012431012 (a number of 23 digits) contains 22 as substring.

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 100401243101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100401243191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4442891 + ... + 4465431.

It is an arithmetic number, because the mean of its divisors is an integer number (12565959003).

Almost surely, 2100401243101 is an apocalyptic number.

It is an amenable number.

100401243101 is a deficient number, since it is larger than the sum of its proper divisors (126428923).

100401243101 is a wasteful number, since it uses less digits than its factorization.

100401243101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27951.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 100401243101 its reverse (101342104001), we get a palindrome (201743347102).

The spelling of 100401243101 in words is "one hundred billion, four hundred one million, two hundred forty-three thousand, one hundred one".

Divisors: 1 1013 4397 22541 4454161 22834033 99112777 100401243101