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101053405503 = 32263317134677
BaseRepresentation
bin101111000011101000…
…0001001100100111111
3100122211120210212221100
41132013100021210333
53123424132434003
6114231233104143
710205124526401
oct1360720114477
9318746725840
10101053405503
1139947016266
12177026b8053
1396b5b280cb
144c68d10b71
152966969ba3
hex178740993f

101053405503 has 24 divisors (see below), whose sum is σ = 146984336928. Its totient is φ = 66900572352.

The previous prime is 101053405441. The next prime is 101053405549. The reversal of 101053405503 is 305504350101.

101053405503 is a `hidden beast` number, since 1 + 0 + 105 + 3 + 4 + 0 + 550 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-101053405503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101053405553) 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 23 ways as a sum of consecutive naturals, for example, 683001 + ... + 817677.

It is an arithmetic number, because the mean of its divisors is an integer number (6124347372).

Almost surely, 2101053405503 is an apocalyptic number.

101053405503 is a deficient number, since it is larger than the sum of its proper divisors (45930931425).

101053405503 is a wasteful number, since it uses less digits than its factorization.

101053405503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135263 (or 135260 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 101053405503 its reverse (305504350101), we get a palindrome (406557755604).

The spelling of 101053405503 in words is "one hundred one billion, fifty-three million, four hundred five thousand, five hundred three".

Divisors: 1 3 9 263 317 789 951 2367 2853 83371 134677 250113 404031 750339 1212093 35420051 42692609 106260153 128077827 318780459 384233481 11228156167 33684468501 101053405503