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132122100311313 = 37192711597176507
BaseRepresentation
bin11110000010101000010010…
…110110110010010100010001
3122022210202020100010121201020
4132002220102312302110101
5114304142030134430223
61145000015512230053
736554335545553530
oct3602502266622421
9568722210117636
10132122100311313
1139109739234102
121299a19409b329
1358950a31a0378
14248aa5acc2317
151041bebb061e3
hex782a12db2511

132122100311313 has 64 divisors (see below), whose sum is σ = 212723283886080. Its totient is φ = 71255423822400.

The previous prime is 132122100311207. The next prime is 132122100311321. The reversal of 132122100311313 is 313113001221231.

It is not a de Polignac number, because 132122100311313 - 212 = 132122100307217 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132122100311813) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1726890006 + ... + 1726966512.

It is an arithmetic number, because the mean of its divisors is an integer number (3323801310720).

Almost surely, 2132122100311313 is an apocalyptic number.

It is an amenable number.

132122100311313 is a deficient number, since it is larger than the sum of its proper divisors (80601183574767).

132122100311313 is a wasteful number, since it uses less digits than its factorization.

132122100311313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92778.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 132122100311313 its reverse (313113001221231), we get a palindrome (445235101532544).

The spelling of 132122100311313 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, one hundred million, three hundred eleven thousand, three hundred thirteen".

Divisors: 1 3 7 19 21 57 133 271 399 813 1897 5149 5691 15447 15971 36043 47913 76507 108129 111797 229521 303449 335391 535549 910347 1453633 1606647 2124143 4328141 4360899 6372429 10175431 12984423 20733397 30296987 30526293 62200191 82234679 90890961 145133779 246704037 393934543 435401337 575642753 1181803629 1221893297 1726928259 2757541801 3665679891 8272625403 8553253079 23215972643 25659759237 69647917929 162511808501 331133083487 487535425503 993399250461 2317931584409 6291528586253 6953794753227 18874585758759 44040700103771 132122100311313