Search a number
-
+
100223032011101 = 829325137187419
BaseRepresentation
bin10110110010011011111110…
…001110001010100101011101
3111010212020011102101121100022
4112302123332032022211131
5101114023232143323401
6553053454132441525
730052606110021536
oct2662337616124535
9433766142347308
10100223032011101
1129a3039284119a
12b2a7a8a7792a5
1343bccb705174c
141aa6b6bb5568d
15b8c06ec7871b
hex5b26fe38a95d

100223032011101 has 8 divisors (see below), whose sum is σ = 100374796567200. Its totient is φ = 100071341838000.

The previous prime is 100223032011043. The next prime is 100223032011107. The reversal of 100223032011101 is 101110230322001.

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 100223032011101 - 214 = 100223031994717 is a prime.

It is a super-4 number, since 4×1002230320111014 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 100223032011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100223032011107) 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, 15898631 + ... + 21288788.

It is an arithmetic number, because the mean of its divisors is an integer number (12546849570900).

Almost surely, 2100223032011101 is an apocalyptic number.

It is an amenable number.

100223032011101 is a deficient number, since it is larger than the sum of its proper divisors (151764556099).

100223032011101 is an equidigital number, since it uses as much as digits as its factorization.

100223032011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37191499.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 100223032011101 its reverse (101110230322001), we get a palindrome (201333262333102).

The spelling of 100223032011101 in words is "one hundred trillion, two hundred twenty-three billion, thirty-two million, eleven thousand, one hundred one".

Divisors: 1 829 3251 2695079 37187419 30828370351 120896299169 100223032011101