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3200200244334 = 23223101322123761
BaseRepresentation
bin101110100100011010110…
…011000111110001101110
3102022221021110100102112100
4232210122303013301232
5404413002230304314
610450052433315530
7450130642153602
oct56443263076156
912287243312470
103200200244334
111024219677465
12438278705ba6
131a2a15490642
14b0c67821502
15583a056ec09
hex2e91acc7c6e

3200200244334 has 96 divisors (see below), whose sum is σ = 7309447449408. Its totient is φ = 1009895040000.

The previous prime is 3200200244309. The next prime is 3200200244341. The reversal of 3200200244334 is 4334420020023.

3200200244334 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 200 + 24 + 433 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3200200244298 and 3200200244307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134671014 + ... + 134694774.

It is an arithmetic number, because the mean of its divisors is an integer number (76140077598).

Almost surely, 23200200244334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200200244334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654723724704).

3200200244334 is an abundant number, since it is smaller than the sum of its proper divisors (4109247205074).

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

3200200244334 is a wasteful number, since it uses less digits than its factorization.

3200200244334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27114 (or 27111 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 3200200244334 its reverse (4334420020023), we get a palindrome (7534620264357).

The spelling of 3200200244334 in words is "three trillion, two hundred billion, two hundred million, two hundred forty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 101 138 202 207 303 414 606 909 1818 2323 3221 4646 6442 6969 9663 13938 19326 20907 23761 28989 41814 47522 57978 71283 74083 142566 148166 213849 222249 325321 427698 444498 546503 650642 666747 975963 1093006 1333494 1639509 1951926 2399861 2927889 3279018 4799722 4918527 5855778 7199583 7482383 9837054 14399166 14964766 21598749 22447149 43197498 44894298 55196803 67341447 76534181 110393606 134682894 153068362 165590409 229602543 331180818 459205086 496771227 688807629 993542454 1377615258 1760286163 3520572326 5280858489 7729952281 10561716978 15459904562 15842575467 23189856843 31685150934 46379713686 69569570529 139139141058 177788902463 355577804926 533366707389 1066733414778 1600100122167 3200200244334