Search a number
-
+
131022100033 = 1131271574937
BaseRepresentation
bin111101000000110000…
…1101001011001000001
3110112012011012022021121
41322001201221121001
54121313124200113
6140105110152241
712315564321556
oct1720141513101
9415164168247
10131022100033
1150625618000
1221487052681
13c48087bc56
1464ad12aa2d
15361c95ce8d
hex1e81869641

131022100033 has 32 divisors (see below), whose sum is σ = 146203987968. Its totient is φ = 117396639360.

The previous prime is 131022100031. The next prime is 131022100039. The reversal of 131022100033 is 330001220131.

It is not a de Polignac number, because 131022100033 - 21 = 131022100031 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131022100031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26536341 + ... + 26541277.

It is an arithmetic number, because the mean of its divisors is an integer number (4568874624).

Almost surely, 2131022100033 is an apocalyptic number.

It is an amenable number.

131022100033 is a deficient number, since it is larger than the sum of its proper divisors (15181887935).

131022100033 is a wasteful number, since it uses less digits than its factorization.

131022100033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254 (or 5232 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 131022100033 its reverse (330001220131), we get a palindrome (461023320164).

The spelling of 131022100033 in words is "one hundred thirty-one billion, twenty-two million, one hundred thousand, thirty-three".

Divisors: 1 11 121 127 157 1331 1397 1727 4937 15367 18997 19939 54307 169037 208967 219329 597377 626999 775109 2412619 6571147 6896989 8526199 26538809 75866879 93788189 98438843 834535669 1031670079 1082827273 11911100003 131022100033