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20201222203020 = 223253710130031847
BaseRepresentation
bin1001001011111011101101…
…01011000110011010001100
32122112012212220112112111200
410211331312223012122030
510121434100340444040
6110544151404145500
74153330055356665
oct445756653063214
978465786475450
1020201222203020
11648932131a481
122323170538290
13b36c7589c461
144dba5c7ac36c
1525073077e630
hex125f76ac668c

20201222203020 has 144 divisors (see below), whose sum is σ = 63556279795008. Its totient is φ = 5189502988800.

The previous prime is 20201222203013. The next prime is 20201222203027. The reversal of 20201222203020 is 2030222210202.

20201222203020 is a `hidden beast` number, since 2 + 0 + 20 + 122 + 220 + 302 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20201222203013) and next prime (20201222203027).

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 = 20201222202984 and 20201222203002.

It is not an unprimeable number, because it can be changed into a prime (20201222203027) 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, 14343264 + ... + 15688583.

It is an arithmetic number, because the mean of its divisors is an integer number (441363054132).

Almost surely, 220201222203020 is an apocalyptic number.

20201222203020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201222203020 is an abundant number, since it is smaller than the sum of its proper divisors (43355057591988).

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

20201222203020 is a wasteful number, since it uses less digits than its factorization.

20201222203020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30032000 (or 30031995 counting only the distinct ones).

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

Adding to 20201222203020 its reverse (2030222210202), we get a palindrome (22231444413222).

The spelling of 20201222203020 in words is "twenty trillion, two hundred one billion, two hundred twenty-two million, two hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 101 111 148 180 185 202 222 303 333 370 404 444 505 555 606 666 740 909 1010 1110 1212 1332 1515 1665 1818 2020 2220 3030 3330 3636 3737 4545 6060 6660 7474 9090 11211 14948 18180 18685 22422 33633 37370 44844 56055 67266 74740 112110 134532 168165 224220 336330 672660 30031847 60063694 90095541 120127388 150159235 180191082 270286623 300318470 360382164 450477705 540573246 600636940 900955410 1081146492 1111178339 1351433115 1801910820 2222356678 2702866230 3033216547 3333535017 4444713356 5405732460 5555891695 6066433094 6667070034 9099649641 10000605051 11111783390 12132866188 13334140068 15166082735 16667675085 18199299282 20001210102 22223566780 27298948923 30332165470 33335350170 36398598564 40002420204 45498248205 50003025255 54597897846 60664330940 66670700340 90996496410 100006050510 109195795692 112229012239 136494744615 181992992820 200012101020 224458024478 272989489230 336687036717 448916048956 545978978460 561145061195 673374073434 1010061110151 1122290122390 1346748146868 1683435183585 2020122220302 2244580244780 3366870367170 4040244440604 5050305550755 6733740734340 10100611101510 20201222203020