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133213010310 = 232517377093319
BaseRepresentation
bin111110000010000011…
…1010011100110000110
3110201211211210002011200
41330010013103212012
54140310012312220
6141110333043330
712424066622232
oct1740407234606
9421754702150
10133213010310
115154a2a9356
1221998926546
13c73c74a173
14663a0bd5c2
1536e9e81890
hex1f041d3986

133213010310 has 192 divisors, whose sum is σ = 377284003200. Its totient is φ = 32474566656.

The previous prime is 133213010297. The next prime is 133213010317. The reversal of 133213010310 is 13010312331.

It is a happy number.

133213010310 is a `hidden beast` number, since 1 + 3 + 321 + 30 + 1 + 0 + 310 = 666.

It is a super-2 number, since 2×1332130103102 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133213010317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40134831 + ... + 40138149.

It is an arithmetic number, because the mean of its divisors is an integer number (1965020850).

Almost surely, 2133213010310 is an apocalyptic number.

133213010310 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 133213010310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188642001600).

133213010310 is an abundant number, since it is smaller than the sum of its proper divisors (244070992890).

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

133213010310 is a wasteful number, since it uses less digits than its factorization.

133213010310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133213010310 its reverse (13010312331), we get a palindrome (146223322641).

The spelling of 133213010310 in words is "one hundred thirty-three billion, two hundred thirteen million, ten thousand, three hundred ten".