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2020212210120 = 2335131776176931
BaseRepresentation
bin11101011001011110000…
…001111111100111001000
321011010112001200111202220
4131121132001333213020
5231044343311210440
64144023410454040
7265645512312246
oct35313601774710
97133461614686
102020212210120
11709849142475
12287644b94320
13118674bacb10
146dac9015796
153783c6b58d0
hex1d65e07f9c8

2020212210120 has 128 divisors (see below), whose sum is σ = 6910771271040. Its totient is φ = 468031057920.

The previous prime is 2020212210073. The next prime is 2020212210127. The reversal of 2020212210120 is 210122120202.

It is a super-3 number, since 3×20202122101203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2020212210120.

It is not an unprimeable number, because it can be changed into a prime (2020212210127) 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 31 ways as a sum of consecutive naturals, for example, 38061946 + ... + 38114985.

It is an arithmetic number, because the mean of its divisors is an integer number (53990400555).

Almost surely, 22020212210120 is an apocalyptic number.

2020212210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2020212210120 is an abundant number, since it is smaller than the sum of its proper divisors (4890559060920).

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

2020212210120 is a wasteful number, since it uses less digits than its factorization.

2020212210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76176975 (or 76176971 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2020212210120 its reverse (210122120202), we get a palindrome (2230334330322).

The spelling of 2020212210120 in words is "two trillion, twenty billion, two hundred twelve million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 195 204 221 255 260 312 340 390 408 442 510 520 663 680 780 884 1020 1105 1326 1560 1768 2040 2210 2652 3315 4420 5304 6630 8840 13260 26520 76176931 152353862 228530793 304707724 380884655 457061586 609415448 761769310 914123172 990300103 1142653965 1295007827 1523538620 1828246344 1980600206 2285307930 2590015654 2970900309 3047077240 3885023481 3961200412 4570615860 4951500515 5180031308 5941800618 6475039135 7770046962 7922400824 9141231720 9903001030 10360062616 11883601236 12950078270 14854501545 15540093924 16835101751 19425117405 19806002060 23767202472 25900156540 29709003090 31080187848 33670203502 38850234810 39612004120 50505305253 51800313080 59418006180 67340407004 77700469620 84175508755 101010610506 118836012360 134680814008 155400939240 168351017510 202021221012 252526526265 336702035020 404042442024 505053052530 673404070040 1010106105060 2020212210120