Search a number
-
+
133310221110 = 23251123113197263
BaseRepresentation
bin111110000100111101…
…0001000101100110110
3110202002121200220022200
41330021322020230312
54141004404033420
6141124124405330
712426360116523
oct1741172105466
9422077626280
10133310221110
115159a165260
1221a053a6846
13c756925251
146648d8614a
153703784b90
hex1f09e88b36

133310221110 has 384 divisors, whose sum is σ = 401589467136. Its totient is φ = 30367518720.

The previous prime is 133310221091. The next prime is 133310221129. The reversal of 133310221110 is 11122013331.

133310221110 is a `hidden beast` number, since 1 + 3 + 331 + 0 + 221 + 110 = 666.

It is an interprime number because it is at equal distance from previous prime (133310221091) and next prime (133310221129).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 506882839 + ... + 506883101.

It is an arithmetic number, because the mean of its divisors is an integer number (1045805904).

Almost surely, 2133310221110 is an apocalyptic number.

133310221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133310221110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200794733568).

133310221110 is an abundant number, since it is smaller than the sum of its proper divisors (268279246026).

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

133310221110 is a wasteful number, since it uses less digits than its factorization.

133310221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133310221110 its reverse (11122013331), we get a palindrome (144432234441).

The spelling of 133310221110 in words is "one hundred thirty-three billion, three hundred ten million, two hundred twenty-one thousand, one hundred ten".