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133212143104 = 292937242479
BaseRepresentation
bin111110000010000001…
…1111111111000000000
3110201211210011000120221
41330010003333320000
54140304302034404
6141110302312424
712424056351025
oct1740403777000
9421753130527
10133212143104
1151549866857
1221998588714
13c73c505521
146639d3554c
1536e9d5e954
hex1f040ffe00

133212143104 has 80 divisors (see below), whose sum is σ = 282785025600. Its totient is φ = 62570962944.

The previous prime is 133212143093. The next prime is 133212143147. The reversal of 133212143104 is 401341212331.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 428137 + ... + 670615.

It is an arithmetic number, because the mean of its divisors is an integer number (3534812820).

Almost surely, 2133212143104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133212143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141392512800).

133212143104 is an abundant number, since it is smaller than the sum of its proper divisors (149572882496).

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

133212143104 is an equidigital number, since it uses as much as digits as its factorization.

133212143104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242563 (or 242547 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 133212143104 its reverse (401341212331), we get a palindrome (534553355435).

The spelling of 133212143104 in words is "one hundred thirty-three billion, two hundred twelve million, one hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 37 58 64 74 116 128 148 232 256 296 464 512 592 928 1073 1184 1856 2146 2368 3712 4292 4736 7424 8584 9472 14848 17168 18944 34336 68672 137344 242479 274688 484958 549376 969916 1939832 3879664 7031891 7759328 8971723 14063782 15518656 17943446 28127564 31037312 35886892 56255128 62074624 71773784 112510256 124149248 143547568 225020512 260179967 287095136 450041024 520359934 574190272 900082048 1040719868 1148380544 1800164096 2081439736 2296761088 3600328192 4162879472 4593522176 8325758944 16651517888 33303035776 66606071552 133212143104