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420300142020 = 22325111402915131
BaseRepresentation
bin1100001110110111101…
…01110011010111000100
31111011212102212102200200
412013123311303113010
523341233314021040
6521025550410500
742236300155353
oct6073365632704
91434772772620
10420300142020
11152280522580
1269559800a30
13308322635b5
14164b229799a
15adedba0630
hex61dbd735c4

420300142020 has 144 divisors (see below), whose sum is σ = 1391002441920. Its totient is φ = 101876947200.

The previous prime is 420300142019. The next prime is 420300142021. The reversal of 420300142020 is 20241003024.

420300142020 is a `hidden beast` number, since 420 + 30 + 0 + 14 + 202 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (420300142019) and next prime (420300142021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 420300141984 and 420300142002.

It is not an unprimeable number, because it can be changed into a prime (420300142021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27769855 + ... + 27784985.

It is an arithmetic number, because the mean of its divisors is an integer number (9659739180).

Almost surely, 2420300142020 is an apocalyptic number.

It is an amenable number.

420300142020 is an abundant number, since it is smaller than the sum of its proper divisors (970702299900).

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

420300142020 is a wasteful number, since it uses less digits than its factorization.

420300142020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29186 (or 29181 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 420300142020 its reverse (20241003024), we get a palindrome (440541145044).

The spelling of 420300142020 in words is "four hundred twenty billion, three hundred million, one hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 14029 15131 28058 30262 42087 45393 56116 60524 70145 75655 84174 90786 126261 136179 140290 151310 154319 166441 168348 181572 210435 226965 252522 272358 280580 302620 308638 332882 420870 453930 462957 499323 505044 544716 617276 631305 665764 680895 771595 832205 841740 907860 925914 998646 1262610 1361790 1388871 1497969 1543190 1664410 1851828 1997292 2314785 2496615 2525220 2723580 2777742 2995938 3086380 3328820 4629570 4993230 5555484 5991876 6944355 7489845 9259140 9986460 13888710 14979690 27777420 29959380 212272799 424545598 636818397 849091196 1061363995 1273636794 1910455191 2122727990 2335000789 2547273588 3184091985 3820910382 4245455980 4670001578 6368183970 7005002367 7641820764 9340003156 9552275955 11675003945 12736367940 14010004734 19104551910 21015007101 23350007890 28020009468 35025011835 38209103820 42030014202 46700015780 70050023670 84060028404 105075035505 140100047340 210150071010 420300142020