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21142010312033 = 1337471934845583
BaseRepresentation
bin1001100111010100000100…
…00000111011010101100001
32202212011020001100020120012
410303222002000323111201
510232342314114441113
6112544301102254305
74311313503351152
oct463520200732541
982764201306505
1021142010312033
116811304717276
122455568587395
13ba48b57894c0
145313c8cb3929
15269e43a6baa8
hex133a8203b561

21142010312033 has 32 divisors (see below), whose sum is σ = 24004945606656. Its totient is φ = 18487949856768.

The previous prime is 21142010312011. The next prime is 21142010312069. The reversal of 21142010312033 is 33021301024112.

It is a cyclic number.

It is not a de Polignac number, because 21142010312033 - 28 = 21142010311777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21142010311033) 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, 1940360 + ... + 6785942.

It is an arithmetic number, because the mean of its divisors is an integer number (750154550208).

Almost surely, 221142010312033 is an apocalyptic number.

It is an amenable number.

21142010312033 is a deficient number, since it is larger than the sum of its proper divisors (2862935294623).

21142010312033 is a wasteful number, since it uses less digits than its factorization.

21142010312033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4845873.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 21142010312033 its reverse (33021301024112), we get a palindrome (54163311336145).

The spelling of 21142010312033 in words is "twenty-one trillion, one hundred forty-two billion, ten million, three hundred twelve thousand, thirty-three".

Divisors: 1 13 37 47 193 481 611 1739 2509 7141 9071 22607 92833 117923 335627 4363151 4845583 62992579 179286571 227742401 935197519 2330725423 2960651213 8426468837 12157567747 34602308203 43954283393 109544094881 449830006639 571405684109 1626308485541 21142010312033