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202331242133202 = 237133710015406501
BaseRepresentation
bin101110000000010011101001…
…110100000111011011010010
3222112101200022010222202002010
4232000103221310013123102
5203004443340441230302
61554153404531003350
760421643540433540
oct5600235164073322
9875350263882063
10202331242133202
115951821a468526
121a839197739556
1388b89a6170bb0
1437d6c549dad90
15185d17741416c
hexb804e9d076d2

202331242133202 has 64 divisors (see below), whose sum is σ = 511506840870144. Its totient is φ = 51919867296000.

The previous prime is 202331242133173. The next prime is 202331242133221.

202331242133202 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 202331242133202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5007683049 + ... + 5007723452.

It is an arithmetic number, because the mean of its divisors is an integer number (7992294388596).

Almost surely, 2202331242133202 is an apocalyptic number.

202331242133202 is an abundant number, since it is smaller than the sum of its proper divisors (309175598736942).

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

202331242133202 is a wasteful number, since it uses less digits than its factorization.

202331242133202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10015406563.

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 202331242133202 in words is "two hundred two trillion, three hundred thirty-one billion, two hundred forty-two million, one hundred thirty-three thousand, two hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2886 3367 6734 10101 20202 10015406501 20030813002 30046219503 60092439006 70107845507 130200284513 140215691014 210323536521 260400569026 370570040537 390600853539 420647073042 741140081074 781201707078 911401991591 1111710121611 1822803983182 2223420243222 2593990283759 2734205974773 4817410526981 5187980567518 5468411949546 7781970851277 9634821053962 14452231580943 15563941702554 28904463161886 33721873688867 67443747377734 101165621066601 202331242133202