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1020210110020 = 2255910936721613
BaseRepresentation
bin11101101100010010100…
…00101101111001000100
310121112100012022101111101
432312021100231321010
5113203342242010040
62100402243145444
7133464520565413
oct16661120557104
93545305271441
101020210110020
1136373a012762
12145882375284
137528935a41a
14375425c347a
151b810b8709a
hexed8942de44

1020210110020 has 96 divisors (see below), whose sum is σ = 2204835494400. Its totient is φ = 396385519104.

The previous prime is 1020210109991. The next prime is 1020210110039. The reversal of 1020210110020 is 200110120201.

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

It is a junction number, because it is equal to n+sod(n) for n = 1020210109979 and 1020210110006.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 47192734 + ... + 47214346.

It is an arithmetic number, because the mean of its divisors is an integer number (22967036400).

Almost surely, 21020210110020 is an apocalyptic number.

1020210110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020210110020 is an abundant number, since it is smaller than the sum of its proper divisors (1184625384380).

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

1020210110020 is a wasteful number, since it uses less digits than its factorization.

1020210110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22157 (or 22155 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020210110020 its reverse (200110120201), we get a palindrome (1220320230221).

The spelling of 1020210110020 in words is "one trillion, twenty billion, two hundred ten million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 59 109 118 218 236 295 367 436 545 590 734 1090 1180 1468 1835 2180 3670 6431 7340 12862 21613 21653 25724 32155 40003 43226 43306 64310 80006 86452 86612 108065 108265 128620 160012 200015 216130 216530 400030 432260 433060 800060 1275167 2355817 2360177 2550334 4711634 4720354 5100668 6375835 7931971 9423268 9440708 11779085 11800885 12751670 15863942 23558170 23601770 25503340 31727884 39659855 47116340 47203540 79319710 138993203 158639420 277986406 467986289 555972812 694966015 864584839 935972578 1389932030 1729169678 1871945156 2339931445 2779864060 3458339356 4322924195 4679862890 8645848390 9359725780 17291696780 51010505501 102021011002 204042022004 255052527505 510105055010 1020210110020