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101341414122 = 23132195260117
BaseRepresentation
bin101111001100001101…
…0110100001011101010
3100200120122202020111020
41132120122310023222
53130021400222442
6114320002113310
710215222543564
oct1363032641352
9320518666436
10101341414122
1139a8464a413
121778304b836
1397306b7b00
144c95282334
152981daa9ec
hex17986b42ea

101341414122 has 48 divisors (see below), whose sum is σ = 231024382560. Its totient is φ = 29540811456.

The previous prime is 101341414117. The next prime is 101341414129. The reversal of 101341414122 is 221414143101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101341414092 and 101341414101.

It is not an unprimeable number, because it can be changed into a prime (101341414129) 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 23 ways as a sum of consecutive naturals, for example, 2610793 + ... + 2649324.

It is an arithmetic number, because the mean of its divisors is an integer number (4813007970).

Almost surely, 2101341414122 is an apocalyptic number.

101341414122 is an abundant number, since it is smaller than the sum of its proper divisors (129682968438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101341414122 is a wasteful number, since it uses less digits than its factorization.

101341414122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5260167 (or 5260154 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 101341414122 its reverse (221414143101), we get a palindrome (322755557223).

The spelling of 101341414122 in words is "one hundred one billion, three hundred forty-one million, four hundred fourteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 169 247 338 494 507 741 1014 1482 3211 6422 9633 19266 5260117 10520234 15780351 31560702 68381521 99942223 136763042 199884446 205144563 299826669 410289126 599653338 888959773 1299248899 1777919546 2598497798 2666879319 3897746697 5333758638 7795493394 16890235687 33780471374 50670707061 101341414122