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3332020000131 = 3341671011074157
BaseRepresentation
bin110000011111001011110…
…111100101010110000011
3102210112112012110211211000
4300133023313211112003
5414042434110001011
611030413040223043
7462505363456464
oct60371367452603
912715465424730
103332020000131
111075113473aa9
1245992690aa83
131b2292381444
14b73b0866d6b
155ba18040356
hex307cbde5583

3332020000131 has 128 divisors (see below), whose sum is σ = 5232709278720. Its totient is φ = 2093427072000.

The previous prime is 3332020000103. The next prime is 3332020000207. The reversal of 3332020000131 is 1310000202333.

3332020000131 is a `hidden beast` number, since 3 + 332 + 0 + 200 + 0 + 0 + 131 = 666.

It is not a de Polignac number, because 3332020000131 - 210 = 3332019999107 is a prime.

It is a super-4 number, since 4×33320200001314 (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3332020008131) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 801542305 + ... + 801546461.

It is an arithmetic number, because the mean of its divisors is an integer number (40880541240).

Almost surely, 23332020000131 is an apocalyptic number.

3332020000131 is a deficient number, since it is larger than the sum of its proper divisors (1900689278589).

3332020000131 is a wasteful number, since it uses less digits than its factorization.

3332020000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3332020000131 its reverse (1310000202333), we get a palindrome (4642020202464).

The spelling of 3332020000131 in words is "three trillion, three hundred thirty-two billion, twenty million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 9 27 41 67 101 107 123 201 303 321 369 603 909 963 1107 1809 2727 2747 2889 4141 4157 4387 6767 7169 8241 10807 12423 12471 13161 20301 21507 24723 32421 37269 37413 39483 60903 64521 74169 97263 111807 112239 118449 170437 182709 193563 277447 278519 291789 293929 419857 443087 444799 511311 724069 832341 835557 881787 1259571 1329261 1334397 1533933 2172207 2497023 2506671 2645361 3778713 3987783 4003191 4601799 6516621 7491069 7520013 7936083 11336139 11419279 11963349 12009573 17214137 18236759 19549863 28130419 29686829 29801533 34257837 44924699 51642411 54710277 84391257 89060487 89404599 102773511 134774097 154927233 164130831 253173771 267181461 268213797 308320533 404322291 464781699 492392493 759521313 801544383 804641391 1153347179 1212966873 1221862853 1841912659 3009954833 3460041537 3665588559 5525737977 9029864499 10380124611 10996765677 16577213931 27089593497 31140373833 32990297031 49731641793 81268780491 123408148153 370224444459 1110673333377 3332020000131