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133122011210144 = 25113831123879283
BaseRepresentation
bin11110010001001011100010…
…001100001010000110100000
3122110100100011211220020100222
4132101023202030022012200
5114422032334332211034
61151043224021102212
740016514352142435
oct3621134214120640
9573310154806328
10133122011210144
1139464800931a70
1212b1bb30257968
135938475b70108
1424c31d5573b8c
15105cc2061c12e
hex7912e230a1a0

133122011210144 has 96 divisors (see below), whose sum is σ = 286911860465664. Its totient is φ = 60298205172480.

The previous prime is 133122011210143. The next prime is 133122011210147. The reversal of 133122011210144 is 441012110221331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (133122011210143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150958727 + ... + 151838009.

It is an arithmetic number, because the mean of its divisors is an integer number (2988665213184).

Almost surely, 2133122011210144 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 133122011210144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143455930232832).

133122011210144 is an abundant number, since it is smaller than the sum of its proper divisors (153789849255520).

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

133122011210144 is a wasteful number, since it uses less digits than its factorization.

133122011210144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880810 (or 880802 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 133122011210144 its reverse (441012110221331), we get a palindrome (574134121431475).

The spelling of 133122011210144 in words is "one hundred thirty-three trillion, one hundred twenty-two billion, eleven million, two hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 383 766 1123 1532 2246 3064 4213 4492 6128 8426 8984 12256 12353 16852 17968 24706 33704 35936 49412 67408 98824 134816 197648 395296 430109 860218 879283 1720436 1758566 3440872 3517132 4731199 6881744 7034264 9462398 9672113 13763488 14068528 18924796 19344226 28137056 37849592 38688452 75699184 77376904 151398368 154753808 309507616 336765389 673530778 987434809 1347061556 1974869618 2694123112 3704419279 3949739236 5388246224 7408838558 7899478472 10776492448 10861782899 14817677116 15798956944 21723565798 29635354232 31597913888 43447131596 59270708464 86894263192 118541416928 173788526384 347577052768 378187531847 756375063694 1512750127388 3025500254776 4160062850317 6051000509552 8320125700634 12102001019104 16640251401268 33280502802536 66561005605072 133122011210144