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1020220212220 = 22511171012700853
BaseRepresentation
bin11101101100010011101…
…11010000001111111100
310121112100220022122002221
432312021313100033330
5113203402333242340
62100403243455124
7133465002502036
oct16661167201774
93545326278087
101020220212220
11363744792690
121458858274a4
137528b486661
1437543a92c56
151b8119d044a
hexed89dd03fc

1020220212220 has 96 divisors (see below), whose sum is σ = 2499219043776. Its totient is φ = 345709056000.

The previous prime is 1020220212161. The next prime is 1020220212227. The reversal of 1020220212220 is 222120220201.

It is a junction number, because it is equal to n+sod(n) for n = 1020220212194 and 1020220212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020220212227) 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, 972687 + ... + 1728166.

It is an arithmetic number, because the mean of its divisors is an integer number (26033531706).

Almost surely, 21020220212220 is an apocalyptic number.

1020220212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020220212220 is an abundant number, since it is smaller than the sum of its proper divisors (1478998831556).

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

1020220212220 is a wasteful number, since it uses less digits than its factorization.

1020220212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700991 (or 2700989 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1020220212220 its reverse (222120220201), we get a palindrome (1242340432421).

The spelling of 1020220212220 in words is "one trillion, twenty billion, two hundred twenty million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 101 110 170 187 202 220 340 374 404 505 748 935 1010 1111 1717 1870 2020 2222 3434 3740 4444 5555 6868 8585 11110 17170 18887 22220 34340 37774 75548 94435 188870 377740 2700853 5401706 10803412 13504265 27008530 29709383 45914501 54017060 59418766 91829002 118837532 148546915 183658004 229572505 272786153 297093830 459145010 505059511 545572306 594187660 918290020 1010119022 1091144612 1363930765 2020238044 2525297555 2727861530 3000647683 4637364601 5050595110 5455723060 6001295366 9274729202 10101190220 12002590732 15003238415 18549458404 23186823005 30006476830 46373646010 51011010611 60012953660 92747292020 102022021222 204044042444 255055053055 510110106110 1020220212220