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101141404333 = 1967690711503
BaseRepresentation
bin101111000110001111…
…1110101101010101101
3100200001201101200122021
41132030133311222231
53124114144414313
6114244055150141
710210243515634
oct1361437655255
9320051350567
10101141404333
1139991760072
1217728075351
1396cb129218
144c7689a51b
15296e54d78d
hex178c7f5aad

101141404333 has 16 divisors (see below), whose sum is σ = 108078699520. Its totient is φ = 94366180656.

The previous prime is 101141404321. The next prime is 101141404363. The reversal of 101141404333 is 333404141101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101141404333 - 225 = 101107849901 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101141404298 and 101141404307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101141404363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8786860 + ... + 8798362.

It is an arithmetic number, because the mean of its divisors is an integer number (6754918720).

Almost surely, 2101141404333 is an apocalyptic number.

It is an amenable number.

101141404333 is a deficient number, since it is larger than the sum of its proper divisors (6937295187).

101141404333 is a wasteful number, since it uses less digits than its factorization.

101141404333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18496.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 101141404333 its reverse (333404141101), we get a palindrome (434545545434).

The spelling of 101141404333 in words is "one hundred one billion, one hundred forty-one million, four hundred four thousand, three hundred thirty-three".

Divisors: 1 19 67 1273 6907 11503 131233 218557 462769 770701 8792611 14643319 79451221 1509573199 5323231807 101141404333