Search a number
-
+
1020220000020 = 2232513435991453
BaseRepresentation
bin11101101100010011101…
…10011100011100010100
310121112100212220212000200
432312021312130130110
5113203402310000040
62100403235140500
7133465000626264
oct16661166343424
93545325825020
101020220000020
11363744658211
12145885744730
137528b410bb0
1437543a397a4
151b81198c630
hexed89d9c714

1020220000020 has 72 divisors (see below), whose sum is σ = 3332718674376. Its totient is φ = 251131076352.

The previous prime is 1020219999919. The next prime is 1020220000091. The reversal of 1020220000020 is 200000220201.

It can be written as a sum of positive squares in 4 ways, for example, as 19171725444 + 1001048274576 = 138462^2 + 1000524^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1020219999957 and 1020220000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217993387 + ... + 217998066.

Almost surely, 21020220000020 is an apocalyptic number.

1020220000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020220000020 is an abundant number, since it is smaller than the sum of its proper divisors (2312498674356).

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

1020220000020 is a wasteful number, since it uses less digits than its factorization.

1020220000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435991481 (or 435991476 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 1020220000020 its reverse (200000220201), we get a palindrome (1220220220221).

The spelling of 1020220000020 in words is "one trillion, twenty billion, two hundred twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 435991453 871982906 1307974359 1743965812 2179957265 2615948718 3923923077 4359914530 5231897436 5667888889 6539871795 7847846154 8719829060 11335777778 13079743590 15695692308 17003666667 19619615385 22671555556 26159487180 28339444445 34007333334 39239230770 51011000001 56678888890 68014666668 78478461540 85018333335 102022000002 113357777780 170036666670 204044000004 255055000005 340073333340 510110000010 1020220000020