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2112132202033 = 7323379297789
BaseRepresentation
bin11110101111000100111…
…000111011111000110001
321110220210010100220122211
4132233010320323320301
5234101121320431113
64254144455132121
7305411414332000
oct36570470737061
97426703326584
102112132202033
11744828623937
122a1418974041
13124233715489
1474328d02c37
1539e1c39db3d
hex1ebc4e3be31

2112132202033 has 64 divisors (see below), whose sum is σ = 2642866560000. Its totient is φ = 1682853967872.

The previous prime is 2112132202031. The next prime is 2112132202039. The reversal of 2112132202033 is 3302022312112.

It is not a de Polignac number, because 2112132202033 - 21 = 2112132202031 is a prime.

It is a super-2 number, since 2×21121322020332 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2112132201995 and 2112132202013.

It is not an unprimeable number, because it can be changed into a prime (2112132202031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 271164703 + ... + 271172491.

It is an arithmetic number, because the mean of its divisors is an integer number (41294790000).

Almost surely, 22112132202033 is an apocalyptic number.

2112132202033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2112132202033 is a deficient number, since it is larger than the sum of its proper divisors (530734357967).

2112132202033 is an equidigital number, since it uses as much as digits as its factorization.

2112132202033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8799 (or 8785 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2112132202033 its reverse (3302022312112), we get a palindrome (5414154514145).

The spelling of 2112132202033 in words is "two trillion, one hundred twelve billion, one hundred thirty-two million, two hundred two thousand, thirty-three".

Divisors: 1 7 23 37 49 161 259 343 851 929 1127 1813 5957 6503 7789 7889 12691 21367 34373 41699 45521 54523 149569 179147 240611 288193 291893 318647 381661 790579 1046983 1254029 1684277 2017351 2671627 5534053 6628439 7235981 7328881 8778203 11789939 14121457 38738371 46399073 50651867 61447421 98850199 166427563 267731297 271168597 324793511 354563069 1164992941 1874119079 2273554577 2481941483 6157819831 8154950587 13118833553 43104738817 57084654109 91831834871 301733171719 2112132202033