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32212103013 = 32171015214001
BaseRepresentation
bin11101111111111111…
…011010111101100101
310002010220202101020100
4131333333122331211
51011432244244023
622444213054313
72220150233526
oct357777327545
9102126671210
1032212103013
111272a98a842
1262ab927399
1330647735ac
1417b815684d
15c87e36c43
hex77ffdaf65

32212103013 has 48 divisors (see below), whose sum is σ = 49861302192. Its totient is φ = 19968000000.

The previous prime is 32212103003. The next prime is 32212103059. The reversal of 32212103013 is 31030121223.

It can be written as a sum of positive squares in 8 ways, for example, as 48191364 + 32163911649 = 6942^2 + 179343^2 .

It is not a de Polignac number, because 32212103013 - 28 = 32212102757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32212103003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8049013 + ... + 8053013.

It is an arithmetic number, because the mean of its divisors is an integer number (1038777129).

Almost surely, 232212103013 is an apocalyptic number.

It is an amenable number.

32212103013 is a deficient number, since it is larger than the sum of its proper divisors (17649199179).

32212103013 is a wasteful number, since it uses less digits than its factorization.

32212103013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32212103013 its reverse (31030121223), we get a palindrome (63242224236).

It can be divided in two parts, 3221210 and 3013, that added together give a palindrome (3224223).

The spelling of 32212103013 in words is "thirty-two billion, two hundred twelve million, one hundred three thousand, thirteen".

Divisors: 1 3 9 17 51 101 153 303 521 909 1563 1717 4001 4689 5151 8857 12003 15453 26571 36009 52621 68017 79713 157863 204051 404101 473589 612153 894557 1212303 2084521 2683671 3636909 6253563 6869717 8051013 18760689 20609151 35436857 61827453 106310571 210536621 318931713 631609863 1894829589 3579122557 10737367671 32212103013