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142312202213241 = 3377193719271753
BaseRepresentation
bin100000010110111010100100…
…010000101001011101111001
3200122212220200001122002002010
4200112322210100221131321
5122123120342231310431
61222401153445000133
741655501015566304
oct4026724420513571
9618786601562063
10142312202213241
11413882a2094785
1213b650846b3049
136153ca1ab8998
14271dd396d7b3b
15116bd0103d846
hex816ea4429779

142312202213241 has 32 divisors (see below), whose sum is σ = 197833651077888. Its totient is φ = 90913333754880.

The previous prime is 142312202213219. The next prime is 142312202213317.

142312202213241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 142312202213241 - 246 = 71943458035577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142312202213199 and 142312202213208.

It is not an unprimeable number, because it can be changed into a prime (142312202213201) 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, 2251380 + ... + 17020373.

It is an arithmetic number, because the mean of its divisors is an integer number (6182301596184).

Almost surely, 2142312202213241 is an apocalyptic number.

It is an amenable number.

142312202213241 is a deficient number, since it is larger than the sum of its proper divisors (55521448864647).

142312202213241 is a wasteful number, since it uses less digits than its factorization.

142312202213241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19272801.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 14231220 and 2213241, that added together give a palindrome (16444461).

The spelling of 142312202213241 in words is "one hundred forty-two trillion, three hundred twelve billion, two hundred two million, two hundred thirteen thousand, two hundred forty-one".

Divisors: 1 3 37 71 111 213 937 2627 2811 7881 34669 66527 104007 199581 2461499 7384497 19271753 57815259 713054861 1368294463 2139164583 4104883389 18057632561 50626895131 54172897683 151880685393 668132404757 1282091911831 2004397214271 3846275735493 47437400737747 142312202213241