Search a number
-
+
902122431241121 = 19210789231620549
BaseRepresentation
bin1100110100011110011011111…
…1000011101101101110100001
311101022011001200022200001212022
43031013212333003231232201
51421220333214344203441
612514353153524111225
7361006123552652246
oct31507467703555641
94338131608601768
10902122431241121
11241497a7a174852
1285219454b35515
132c94aa1b26697c
1411caad5c72d5cd
156e4641c15784b
hex33479bf0edba1

902122431241121 has 12 divisors (see below), whose sum is σ = 952189764844500. Its totient is φ = 854563085363808.

The previous prime is 902122431241081. The next prime is 902122431241183. The reversal of 902122431241121 is 121142134221209.

It can be written as a sum of positive squares in 2 ways, for example, as 707377057026721 + 194745374214400 = 26596561^2 + 13955120^2 .

It is not a de Polignac number, because 902122431241121 - 226 = 902122364132257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (902122431244121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111915446 + ... + 119705103.

It is an arithmetic number, because the mean of its divisors is an integer number (79349147070375).

Almost surely, 2902122431241121 is an apocalyptic number.

It is an amenable number.

902122431241121 is a deficient number, since it is larger than the sum of its proper divisors (50067333603379).

902122431241121 is a wasteful number, since it uses less digits than its factorization.

902122431241121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231631376 (or 231631357 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 902122431241121 in words is "nine hundred two trillion, one hundred twenty-two billion, four hundred thirty-one million, two hundred forty-one thousand, one hundred twenty-one".

Divisors: 1 19 361 10789 204991 3894829 231620549 4400790431 83615018189 2498954103161 47480127960059 902122431241121