Search a number
-
+
302202301301020 = 225298325724426349
BaseRepresentation
bin100010010110110011111010…
…0110100011100000100011100
31110122000020221222101022211201
41010231213310310130010130
5304102240303113113040
62550421453132125244
7120440252513612431
oct10455476464340434
91418006858338751
10302202301301020
1188322304760a7a
1229a889b7306824
13cc81729997723
14548a952c93b88
1524e0e96d3ca9a
hex112d9f4d1c11c

302202301301020 has 96 divisors (see below), whose sum is σ = 667003500072000. Its totient is φ = 114857768976384.

The previous prime is 302202301301003. The next prime is 302202301301093. The reversal of 302202301301020 is 20103103202203.

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 31 ways as a sum of consecutive naturals, for example, 158806 + ... + 24585154.

It is an arithmetic number, because the mean of its divisors is an integer number (6947953125750).

Almost surely, 2302202301301020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302202301301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333501750036000).

302202301301020 is an abundant number, since it is smaller than the sum of its proper divisors (364801198770980).

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

302202301301020 is a wasteful number, since it uses less digits than its factorization.

302202301301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24426727 (or 24426725 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 302202301301020 its reverse (20103103202203), we get a palindrome (322305404503223).

The spelling of 302202301301020 in words is "three hundred two trillion, two hundred two billion, three hundred one million, three hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 83 116 145 166 257 290 332 415 514 580 830 1028 1285 1660 2407 2570 4814 5140 7453 9628 12035 14906 21331 24070 29812 37265 42662 48140 74530 85324 106655 149060 213310 426620 618599 1237198 2474396 3092995 6185990 12371980 24426349 48852698 97705396 122131745 244263490 488526980 708364121 1416728242 2027386967 2833456484 3541820605 4054773934 6277571693 7083641210 8109547868 10136934835 12555143386 14167282420 20273869670 25110286772 31387858465 40547739340 58794222043 62775716930 117588444086 125551433860 182049579097 235176888172 293971110215 364099158194 521038450519 587942220430 728198316388 910247895485 1042076901038 1175884440860 1820495790970 2084153802076 2605192252595 3640991581940 5210384505190 10420769010380 15110115065051 30220230130102 60440460260204 75550575325255 151101150650510 302202301301020