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133142221212 = 22372111373109199
BaseRepresentation
bin111101111111111100…
…1010001000110011100
3110201122220120121210020
41323333321101012130
54140133402034322
6141055323512140
712422250131100
oct1737771210634
9421586517706
10133142221212
1151513349470
1221979088650
13c72ab93420
146630933900
1536e3b4c05c
hex1effe5119c

133142221212 has 576 divisors, whose sum is σ = 436512384000. Its totient is φ = 31039303680.

The previous prime is 133142221187. The next prime is 133142221249. The reversal of 133142221212 is 212122241331.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 669056289 + ... + 669056487.

It is an arithmetic number, because the mean of its divisors is an integer number (757834000).

Almost surely, 2133142221212 is an apocalyptic number.

133142221212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133142221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218256192000).

133142221212 is an abundant number, since it is smaller than the sum of its proper divisors (303370162788).

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

133142221212 is a wasteful number, since it uses less digits than its factorization.

133142221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 417 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 133142221212 its reverse (212122241331), we get a palindrome (345264462543).

The spelling of 133142221212 in words is "one hundred thirty-three billion, one hundred forty-two million, two hundred twenty-one thousand, two hundred twelve".