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42012313132020 = 22357119093574271
BaseRepresentation
bin10011000110101110000010…
…00000000001101111110100
312111202100010100002210000020
421203113001000001233310
521001312204130211040
6225204105030245140
711564201166330630
oct1143270100015764
9174670110083006
1042012313132020
111242835a560220
1248663267b67b0
131a59989b0b76a
14a5359a3b7dc0
154ccc83bbecd0
hex2635c1001bf4

42012313132020 has 96 divisors (see below), whose sum is σ = 146661165858816. Its totient is φ = 8729831299200.

The previous prime is 42012313132003. The next prime is 42012313132061. The reversal of 42012313132020 is 2023131321024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4546782516 + ... + 4546791755.

It is an arithmetic number, because the mean of its divisors is an integer number (1527720477696).

Almost surely, 242012313132020 is an apocalyptic number.

It is an amenable number.

42012313132020 is an abundant number, since it is smaller than the sum of its proper divisors (104648852726796).

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

42012313132020 is a wasteful number, since it uses less digits than its factorization.

42012313132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9093574301 (or 9093574299 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 42012313132020 its reverse (2023131321024), we get a palindrome (44035444453044).

The spelling of 42012313132020 in words is "forty-two trillion, twelve billion, three hundred thirteen million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 9093574271 18187148542 27280722813 36374297084 45467871355 54561445626 63655019897 90935742710 100029316981 109122891252 127310039794 136403614065 181871485420 190965059691 200058633962 254620079588 272807228130 300087950943 318275099485 381930119382 400117267924 500146584905 545614456260 600175901886 636550198970 700205218867 763860238764 954825298455 1000293169810 1200351803772 1273100397940 1400410437734 1500439754715 1909650596910 2000586339620 2100615656601 2800820875468 3000879509430 3501026094335 3819301193820 4201231313202 6001759018860 7002052188670 8402462626404 10503078283005 14004104377340 21006156566010 42012313132020