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132444105101 = 711247271997
BaseRepresentation
bin111101101011001001…
…0001010100110001101
3110122212020221122111222
41323112102022212031
54132221142330401
6140502144453125
712366042214130
oct1732622124615
9418766848458
10132444105101
1151195276500
122180331a1a5
13c649363679
1465a5d2a217
1536a26ecc1b
hex1ed648a98d

132444105101 has 72 divisors (see below), whose sum is σ = 172558447488. Its totient is φ = 99484862400.

The previous prime is 132444105091. The next prime is 132444105113. The reversal of 132444105101 is 101501444231.

It is a de Polignac number, because none of the positive numbers 2k-132444105101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132444125101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132842135 + ... + 132843131.

It is an arithmetic number, because the mean of its divisors is an integer number (2396645104).

Almost surely, 2132444105101 is an apocalyptic number.

132444105101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132444105101 is a deficient number, since it is larger than the sum of its proper divisors (40114342387).

132444105101 is an equidigital number, since it uses as much as digits as its factorization.

132444105101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 132444105101 its reverse (101501444231), we get a palindrome (233945549332).

The spelling of 132444105101 in words is "one hundred thirty-two billion, four hundred forty-four million, one hundred five thousand, one hundred one".

Divisors: 1 7 11 47 71 77 121 329 497 517 781 847 997 2209 3337 3619 5467 5687 6979 8591 10967 15463 23359 24299 36707 39809 46859 60137 70787 76769 120637 156839 170093 256949 267289 328013 403777 495509 515449 778657 844459 1097873 1725229 1871023 2202373 2826439 3326989 3608143 5450599 5669939 8565227 12076603 15416611 18977519 23288923 24226103 36596879 39689573 59956589 132842633 156368483 169582721 256178153 266487133 402565669 1094579381 1720053313 1865409931 2817959683 12040373191 18920586443 132444105101