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131413314210042 = 23372808721075653
BaseRepresentation
bin11101111000010100001011…
…111010011000100011111010
3122020021222201211001000212010
4131320110023322120203322
5114211033431414210132
61143254235414230350
736452204301241434
oct3570241372304372
9566258654030763
10131413314210042
1138966089a2a597
12128a49450553b6
1358432b7695747
14246461cb65654
15102d5665246cc
hex77850be988fa

131413314210042 has 32 divisors (see below), whose sum is σ = 269939674115712. Its totient is φ = 42619014869184.

The previous prime is 131413314210041. The next prime is 131413314210127. The reversal of 131413314210042 is 240012413314131.

It is a junction number, because it is equal to n+sod(n) for n = 131413314209991 and 131413314210009.

It is not an unprimeable number, because it can be changed into a prime (131413314210041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4302513 + ... + 16773140.

It is an arithmetic number, because the mean of its divisors is an integer number (8435614816116).

Almost surely, 2131413314210042 is an apocalyptic number.

131413314210042 is an abundant number, since it is smaller than the sum of its proper divisors (138526359905670).

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

131413314210042 is a wasteful number, since it uses less digits than its factorization.

131413314210042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21103782.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131413314210042 its reverse (240012413314131), we get a palindrome (371425727524173).

The spelling of 131413314210042 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred fourteen million, two hundred ten thousand, forty-two".

Divisors: 1 2 3 6 37 74 111 222 28087 56174 84261 168522 1039219 2078438 3117657 6235314 21075653 42151306 63226959 126453918 779799161 1559598322 2339397483 4678794966 591951865811 1183903731622 1775855597433 3551711194866 21902219035007 43804438070014 65706657105021 131413314210042