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1020220100020 = 2251117920329641
BaseRepresentation
bin11101101100010011101…
…10110100110110110100
310121112100220002221012101
432312021312310312310
5113203402321200040
62100403241231444
7133465001523652
oct16661166646664
93545326087171
101020220100020
11363744716360
12145885792584
137528b447574
1437543a63dd2
151b8119ac09a
hexed89db4db4

1020220100020 has 96 divisors (see below), whose sum is σ = 2475068109696. Its totient is φ = 349116518400.

The previous prime is 1020220099967. The next prime is 1020220100047. The reversal of 1020220100020 is 200010220201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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, 34404400 + ... + 34434040.

It is an arithmetic number, because the mean of its divisors is an integer number (25781959476).

Almost surely, 21020220100020 is an apocalyptic number.

1020220100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020220100020 is an abundant number, since it is smaller than the sum of its proper divisors (1454848009676).

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

1020220100020 is a wasteful number, since it uses less digits than its factorization.

1020220100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38881 (or 38879 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1020220100020 its reverse (200010220201), we get a palindrome (1220230320221).

The spelling of 1020220100020 in words is "one trillion, twenty billion, two hundred twenty million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 9203 18406 29641 36812 46015 59282 92030 101233 118564 148205 156451 184060 202466 296410 312902 326051 404932 503897 506165 592820 625804 652102 782255 1007794 1012330 1304204 1564510 1630255 1720961 2015588 2024660 2519485 3129020 3260510 3441922 5038970 5542867 6521020 6883844 8604805 10077940 11085734 17209610 22171468 27714335 34419220 55428670 110857340 272786123 545572246 1091144492 1363930615 2727861230 3000647353 4637364091 5455722460 6001294706 9274728182 12002589412 15003236765 18549456364 23186820455 30006473530 46373640910 51011005001 60012947060 92747281820 102022010002 204044020004 255055025005 510110050010 1020220100020