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1020210323220 = 22325111134559803
BaseRepresentation
bin11101101100010010100…
…01100001111100010100
310121112100012201012221200
432312021101201330110
5113203342320320340
62100402251512500
7133464522444114
oct16661121417424
93545305635850
101020210323220
1136373a148960
12145882458730
137528940348a
143754263b044
151b810bca330
hexed89461f14

1020210323220 has 144 divisors (see below), whose sum is σ = 3405845282112. Its totient is φ = 245134955520.

The previous prime is 1020210323191. The next prime is 1020210323221. The reversal of 1020210323220 is 223230120201.

1020210323220 is a `hidden beast` number, since 102 + 0 + 21 + 0 + 323 + 220 = 666.

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 = 1020210323193 and 1020210323202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020210323221) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2056162 + ... + 2503641.

It is an arithmetic number, because the mean of its divisors is an integer number (23651703348).

Almost surely, 21020210323220 is an apocalyptic number.

1020210323220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020210323220 is an abundant number, since it is smaller than the sum of its proper divisors (2385634958892).

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

1020210323220 is a wasteful number, since it uses less digits than its factorization.

1020210323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4559942 (or 4559937 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1020210323220 its reverse (223230120201), we get a palindrome (1243440443421).

The spelling of 1020210323220 in words is "one trillion, twenty billion, two hundred ten million, three hundred twenty-three thousand, two hundred 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 99 110 113 132 165 180 198 220 226 330 339 396 452 495 565 660 678 990 1017 1130 1243 1356 1695 1980 2034 2260 2486 3390 3729 4068 4972 5085 6215 6780 7458 10170 11187 12430 14916 18645 20340 22374 24860 37290 44748 55935 74580 111870 223740 4559803 9119606 13679409 18239212 22799015 27358818 41038227 45598030 50157833 54717636 68397045 82076454 91196060 100315666 136794090 150473499 164152908 200631332 205191135 250789165 273588180 300946998 410382270 451420497 501578330 515257739 601893996 752367495 820764540 902840994 1003156660 1030515478 1504734990 1545773217 1805681988 2061030956 2257102485 2576288695 3009469980 3091546434 4514204970 4637319651 5152577390 5667835129 6183092868 7728866085 9028409940 9274639302 10305154780 11335670258 15457732170 17003505387 18549278604 22671340516 23186598255 28339175645 30915464340 34007010774 46373196510 51010516161 56678351290 68014021548 85017526935 92746393020 102021032322 113356702580 170035053870 204042064644 255052580805 340070107740 510105161610 1020210323220