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131532105102211 = 11233469646923167
BaseRepresentation
bin11101111010000010110100…
…011001101011001110000011
3122020201100100120001121020001
4131322002310121223032003
5114220010222401232321
61143425003115300431
736463611116203222
oct3572026431531603
9566640316047201
10131532105102211
1138a014a8328040
1212903977a4a717
135851569219b98
14246a28b68acb9
1510316ba290c91
hex77a0b466b383

131532105102211 has 32 divisors (see below), whose sum is σ = 149801025945600. Its totient is φ = 114320162436480.

The previous prime is 131532105102193. The next prime is 131532105102217. The reversal of 131532105102211 is 112201501235131.

It is a happy number.

It is not a de Polignac number, because 131532105102211 - 221 = 131532103005059 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131532105102211.

It is not an unprimeable number, because it can be changed into a prime (131532105102217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5677551550 + ... + 5677574716.

It is an arithmetic number, because the mean of its divisors is an integer number (4681282060800).

Almost surely, 2131532105102211 is an apocalyptic number.

131532105102211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131532105102211 is a deficient number, since it is larger than the sum of its proper divisors (18268920843389).

131532105102211 is a wasteful number, since it uses less digits than its factorization.

131532105102211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33139.

The product of its (nonzero) digits is 1800, while the sum is 28.

Adding to 131532105102211 its reverse (112201501235131), we get a palindrome (243733606337342).

The spelling of 131532105102211 in words is "one hundred thirty-one trillion, five hundred thirty-two billion, one hundred five million, one hundred two thousand, two hundred eleven".

Divisors: 1 11 23 253 3469 6469 23167 38159 71159 79787 148787 254837 532841 877657 1636657 5861251 22440961 80366323 149867323 246850571 516142103 884029553 1648540553 1848425429 3446948429 5677563133 20332679719 37916432719 519889743487 5718787178357 11957464100201 131532105102211