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101303332021 = 4761731573083
BaseRepresentation
bin101111001011000100…
…1100010110010110101
3100200111000002110200001
41132112021202302311
53124432123111041
6114312121551301
710214251054213
oct1362611426265
9320430073601
10101303332021
1139a650a9801
1217772345531
139725843218
144c901abcb3
15297d887131
hex1796262cb5

101303332021 has 32 divisors (see below), whose sum is σ = 107308988928. Its totient is φ = 95542986240.

The previous prime is 101303332007. The next prime is 101303332043. The reversal of 101303332021 is 120233303101.

101303332021 is a nontrivial binomial coefficient, being equal to C(450119, 2).

It is a cyclic number.

It is not a de Polignac number, because 101303332021 - 211 = 101303329973 is a prime.

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 101303332021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101303332421) 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 31 ways as a sum of consecutive naturals, for example, 32857146 + ... + 32860228.

It is an arithmetic number, because the mean of its divisors is an integer number (3353405904).

Almost surely, 2101303332021 is an apocalyptic number.

101303332021 is the 450118-th triangular number.

101303332021 is the 150040-th centered nonagonal number.

It is an amenable number.

101303332021 is a deficient number, since it is larger than the sum of its proper divisors (6005656907).

101303332021 is a wasteful number, since it uses less digits than its factorization.

101303332021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 101303332021 its reverse (120233303101), we get a palindrome (221536635122).

The spelling of 101303332021 in words is "one hundred one billion, three hundred three million, three hundred thirty-two thousand, twenty-one".

Divisors: 1 47 61 73 157 2867 3083 3431 4453 7379 9577 11461 144901 188063 209291 225059 450119 484031 538667 699121 8838961 10577773 13728599 22749457 29525891 32858687 35334263 645244153 1387716877 1660710361 2155390043 101303332021