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134001123012020 = 225112475919968397
BaseRepresentation
bin11110011101111110010001…
…010101100010110110110100
3122120110101022122211220120202
4132131332101111202312310
5120030433244442341040
61152555133250020032
740140155514153245
oct3635762125426664
9576411278756522
10134001123012020
11397736145a1400
1213042394b77618
1359a0336c2a974
14251399070accc
151075a23e33015
hex79df91562db4

134001123012020 has 144 divisors (see below), whose sum is σ = 321245197136640. Its totient is φ = 46882598864640.

The previous prime is 134001123011963. The next prime is 134001123012037. The reversal of 134001123012020 is 20210321100431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 134001123011983 and 134001123012001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3273539 + ... + 16694858.

It is an arithmetic number, because the mean of its divisors is an integer number (2230869424560).

Almost surely, 2134001123012020 is an apocalyptic number.

134001123012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134001123012020 is an abundant number, since it is smaller than the sum of its proper divisors (187244074124620).

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

134001123012020 is a wasteful number, since it uses less digits than its factorization.

134001123012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19968534 (or 19968521 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 134001123012020 its reverse (20210321100431), we get a palindrome (154211444112451).

The spelling of 134001123012020 in words is "one hundred thirty-four trillion, one billion, one hundred twenty-three million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 59 94 110 118 121 188 220 235 236 242 295 470 484 517 590 605 649 940 1034 1180 1210 1298 2068 2420 2585 2596 2773 3245 5170 5546 5687 6490 7139 10340 11092 11374 12980 13865 14278 22748 27730 28435 28556 30503 35695 55460 56870 61006 71390 113740 122012 142780 152515 305030 335533 610060 671066 1342132 1677665 3355330 6710660 19968397 39936794 79873588 99841985 199683970 219652367 399367940 439304734 878609468 938514659 1098261835 1178135423 1877029318 2196523670 2356270846 2416176037 3754058636 4393047340 4692573295 4712541692 4832352074 5890677115 9385146590 9664704148 10323661249 11781354230 12080880185 12959489653 18770293180 20647322498 23562708460 24161760370 25918979306 41294644996 48323520740 51618306245 51837958612 55372364881 64797448265 103236612490 110744729762 113560273739 129594896530 142554386183 206473224980 221489459524 227120547478 259189793060 276861824405 285108772366 454241094956 553723648810 567801368695 570217544732 609096013691 712771930915 1107447297620 1135602737390 1218192027382 1425543861830 2271205474780 2436384054764 2851087723660 3045480068455 6090960136910 6700056150601 12181920273820 13400112301202 26800224602404 33500280753005 67000561506010 134001123012020