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902121303213 = 33132439195003
BaseRepresentation
bin11010010000010101001…
…11101010110010101101
310012020112101101110012000
431020022213222302231
5104240021023200323
61530232342202513
7122114256362004
oct15101247526255
93166471343160
10902121303213
11318650a59349
12126a06723439
13670ba0c5600
143193d019c3b
15186ed8a0e43
hexd20a9eacad

902121303213 has 96 divisors (see below), whose sum is σ = 1482753254400. Its totient is φ = 541542770496.

The previous prime is 902121303199. The next prime is 902121303217. The reversal of 902121303213 is 312303121209.

902121303213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 902121303213 - 24 = 902121303197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (902121303217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180313570 + ... + 180318572.

It is an arithmetic number, because the mean of its divisors is an integer number (15445346400).

Almost surely, 2902121303213 is an apocalyptic number.

It is an amenable number.

902121303213 is a deficient number, since it is larger than the sum of its proper divisors (580631951187).

902121303213 is a wasteful number, since it uses less digits than its factorization.

902121303213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6000 (or 5981 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 902121303213 in words is "nine hundred two billion, one hundred twenty-one million, three hundred three thousand, two hundred thirteen".

Divisors: 1 3 9 13 27 39 43 117 129 169 351 387 507 559 919 1161 1521 1677 2757 4563 5003 5031 7267 8271 11947 15009 15093 21801 24813 35841 39517 45027 65039 65403 107523 118551 135081 155311 195117 196209 215129 322569 355653 465933 513721 585351 645387 845507 1066959 1397799 1541163 1756053 1936161 2536521 2796677 4193397 4597757 4623489 5808483 6678373 7609563 8390031 13793271 13870467 20035119 22828689 25170093 36356801 41379813 59770841 60105357 75510279 109070403 124139439 179312523 180316071 197703551 327211209 537937569 593110653 777020933 981633627 1613812707 1779331959 2331062799 2570146163 5337995877 6993188397 7710438489 20979565191 23131315467 33411900119 69393946401 100235700357 300707101071 902121303213