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132130222312221 = 32721971222101569
BaseRepresentation
bin11110000010101111110110…
…111101110000101100011101
3122022211112012101010000101200
4132002233312331300230131
5114304310143402442341
61145003441451030113
736555044040460500
oct3602576675605435
9568745171100350
10132130222312221
113911212695a651
121299b88013b339
135895a98a8b073
14248b1cb867137
151042024b9edb6
hex782bf6f70b1d

132130222312221 has 72 divisors (see below), whose sum is σ = 236991259252800. Its totient is φ = 70521689871360.

The previous prime is 132130222312201. The next prime is 132130222312223. The reversal of 132130222312221 is 122213222031231.

132130222312221 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 302 + 22 + 312 + 2 + 21 = 666.

It is not a de Polignac number, because 132130222312221 - 214 = 132130222295837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132130222312223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110455876 + ... + 111645693.

It is an arithmetic number, because the mean of its divisors is an integer number (3291545267400).

Almost surely, 2132130222312221 is an apocalyptic number.

It is an amenable number.

132130222312221 is a deficient number, since it is larger than the sum of its proper divisors (104861036940579).

132130222312221 is a wasteful number, since it uses less digits than its factorization.

132130222312221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222101679 (or 222101669 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 132130222312221 its reverse (122213222031231), we get a palindrome (254343444343452).

The spelling of 132130222312221 in words is "one hundred thirty-two trillion, one hundred thirty billion, two hundred twenty-two million, three hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 9 19 21 49 57 63 71 133 147 171 213 399 441 497 639 931 1197 1349 1491 2793 3479 4047 4473 8379 9443 10437 12141 28329 31311 66101 84987 198303 594909 222101569 666304707 1554710983 1998914121 4219929811 4664132949 10882976881 12659789433 13992398847 15769211399 29539508677 32648930643 37979368299 47307634197 88618526031 97946791929 110384479793 141922902591 206776560739 265855578093 299615016581 331153439379 620329682217 772691358551 898845049743 993460318137 1860989046651 2097305116067 2318074075653 2696535149229 6291915348201 6954222226959 14681135812469 18875746044603 44043407437407 132130222312221