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132141110041213 = 713195911251115133
BaseRepresentation
bin11110000010111001111111…
…111011001001101001111101
3122022212120022011021221202121
4132002321333323021221331
5114304444443132304323
61145012442104522541
736555610614602560
oct3602717773115175
9568776264257677
10132141110041213
1139116803785589
12129a19ba480451
135896b12666760
14248b9418704d7
151042460963a5d
hex782e7fec9a7d

132141110041213 has 64 divisors (see below), whose sum is σ = 174113556019200. Its totient is φ = 97360224480000.

The previous prime is 132141110041181. The next prime is 132141110041219. The reversal of 132141110041213 is 312140011141231.

It is a cyclic number.

It is not a de Polignac number, because 132141110041213 - 25 = 132141110041181 is a prime.

It is a super-2 number, since 2×1321411100412132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132141110041219) 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, 1147668195 + ... + 1147783327.

It is an arithmetic number, because the mean of its divisors is an integer number (2720524312800).

Almost surely, 2132141110041213 is an apocalyptic number.

132141110041213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132141110041213 is a deficient number, since it is larger than the sum of its proper divisors (41972445977987).

132141110041213 is a wasteful number, since it uses less digits than its factorization.

132141110041213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126482.

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 132141110041213 its reverse (312140011141231), we get a palindrome (444281121182444).

The spelling of 132141110041213 in words is "one hundred thirty-two trillion, one hundred forty-one billion, one hundred ten million, forty-one thousand, two hundred thirteen".

Divisors: 1 7 13 19 59 91 133 247 413 767 1121 1729 5369 7847 11251 14573 78757 102011 115133 146263 213769 663809 805931 1023841 1496383 1496729 2187527 2778997 4646663 6792847 8629517 10477103 12612371 15312689 19452979 28437851 47549929 60406619 88286597 88307011 129064093 163960823 199064957 618149077 903448651 1147725761 1295361383 1677833209 9067529681 11744832463 16839697979 24611866277 76426321597 117877885853 172283063939 319954261601 534984251179 993542180761 1452100110343 2239679831207 6954795265327 10164700772401 18877301434459 132141110041213