Search a number
-
+
101021000093 = 1321607371971
BaseRepresentation
bin101111000010101010…
…0100010000110011101
3100122202022211112001222
41132011110202012131
53123342334000333
6114224114343125
710204252222106
oct1360524420635
9318668745058
10101021000093
113992a7a2632
12176b388aaa5
1396ac1c0300
144c648b73ad
152963bb8298
hex178552219d

101021000093 has 12 divisors (see below), whose sum is σ = 109457968608. Its totient is φ = 93191875920.

The previous prime is 101021000057. The next prime is 101021000111. The reversal of 101021000093 is 390000120101.

It is a happy number.

It is not a de Polignac number, because 101021000093 - 26 = 101021000029 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 (101021000023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85598 + ... + 457568.

It is an arithmetic number, because the mean of its divisors is an integer number (9121497384).

Almost surely, 2101021000093 is an apocalyptic number.

101021000093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101021000093 is a deficient number, since it is larger than the sum of its proper divisors (8436968515).

101021000093 is a wasteful number, since it uses less digits than its factorization.

101021000093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373604 (or 373591 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101021000093 its reverse (390000120101), we get a palindrome (491021120194).

The spelling of 101021000093 in words is "one hundred one billion, twenty-one million, ninety-three", and thus it is an aban number.

Divisors: 1 13 169 1607 20891 271583 371971 4835623 62863099 597757397 7770846161 101021000093