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2122454132050 = 252726731287233
BaseRepresentation
bin11110111000101100000…
…111111110010101010010
321111220102110220021202011
4132320230013332111102
5234233241224211200
64303013022013134
7306225251311300
oct36705407762522
97456373807664
102122454132050
1174914503070a
122a34197171aa
131251ba00b485
1474a27b07270
153a32364d5ba
hex1ee2c1fe552

2122454132050 has 72 divisors (see below), whose sum is σ = 4599124890516. Its totient is φ = 726616719360.

The previous prime is 2122454132041. The next prime is 2122454132059. The reversal of 2122454132050 is 502314542212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2122454132041) and next prime (2122454132059).

It can be written as a sum of positive squares in 6 ways, for example, as 237629925729 + 1884824206321 = 487473^2 + 1372889^2 .

It is a super-2 number, since 2×21224541320502 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2122454132059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1005234 + ... + 2292466.

Almost surely, 22122454132050 is an apocalyptic number.

2122454132050 is an abundant number, since it is smaller than the sum of its proper divisors (2476670758466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2122454132050 is a wasteful number, since it uses less digits than its factorization.

2122454132050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287932 (or 1287920 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 2122454132050 its reverse (502314542212), we get a palindrome (2624768674262).

The spelling of 2122454132050 in words is "two trillion, one hundred twenty-two billion, four hundred fifty-four million, one hundred thirty-two thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 350 490 673 1225 1346 2450 3365 4711 6730 9422 16825 23555 32977 33650 47110 65954 117775 164885 235550 329770 824425 1287233 1648850 2574466 6436165 9010631 12872330 18021262 32180825 45053155 63074417 64361650 90106310 126148834 225265775 315372085 450531550 630744170 866307809 1576860425 1732615618 3153720850 4331539045 6064154663 8663078090 12128309326 21657695225 30320773315 42449082641 43315390450 60641546630 84898165282 151603866575 212245413205 303207733150 424490826410 1061227066025 2122454132050