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133110311334 = 237211133785571
BaseRepresentation
bin111101111110111111…
…1100010100110100110
3110201120200112102122220
41323331333202212212
54140102214430314
6141052223533210
712421411656300
oct1737577424646
9421520472586
10133110311334
11514a7334070
122196a45a206
13c7243a0040
14662a5c8970
1536e0e473a9
hex1efdfe29a6

133110311334 has 192 divisors, whose sum is σ = 373663487232. Its totient is φ = 31051641600.

The previous prime is 133110311333. The next prime is 133110311381. The reversal of 133110311334 is 433113011331.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133110311333) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1512769 + ... + 1598339.

It is an arithmetic number, because the mean of its divisors is an integer number (1946163996).

Almost surely, 2133110311334 is an apocalyptic number.

133110311334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133110311334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186831743616).

133110311334 is an abundant number, since it is smaller than the sum of its proper divisors (240553175898).

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

133110311334 is a wasteful number, since it uses less digits than its factorization.

133110311334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85651 (or 85644 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 133110311334 its reverse (433113011331), we get a palindrome (566223322665).

It can be divided in two parts, 133110 and 311334, that added together give a palindrome (444444).

The spelling of 133110311334 in words is "one hundred thirty-three billion, one hundred ten million, three hundred eleven thousand, three hundred thirty-four".