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1022101201020 = 2235175031992167
BaseRepresentation
bin11101101111110011111…
…10101010000001111100
310121201012222201202122210
432313321332222001330
5113221230401413040
62101314035540420
7133562422601304
oct16677176520174
93551188652583
101022101201020
1136451a533389
1214610b75a710
13754cb091b93
143768180c604
151b8c1bd5480
hexedf9faa07c

1022101201020 has 96 divisors (see below), whose sum is σ = 3036255280128. Its totient is φ = 256017236992.

The previous prime is 1022101200997. The next prime is 1022101201021. The reversal of 1022101201020 is 201021012201.

It is a super-3 number, since 3×10221012010203 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1022101200987 and 1022101201005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022101201021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483024 + ... + 1509143.

It is an arithmetic number, because the mean of its divisors is an integer number (31627659168).

Almost surely, 21022101201020 is an apocalyptic number.

1022101201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022101201020 is an abundant number, since it is smaller than the sum of its proper divisors (2014154079108).

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

1022101201020 is a wasteful number, since it uses less digits than its factorization.

1022101201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992699 (or 1992697 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022101201020 its reverse (201021012201), we get a palindrome (1223122213221).

The spelling of 1022101201020 in words is "one trillion, twenty-two billion, one hundred one million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 503 510 1006 1020 1509 2012 2515 3018 5030 6036 7545 8551 10060 15090 17102 25653 30180 34204 42755 51306 85510 102612 128265 171020 256530 513060 1992167 3984334 5976501 7968668 9960835 11953002 19921670 23906004 29882505 33866839 39843340 59765010 67733678 101600517 119530020 135467356 169334195 203201034 338668390 406402068 508002585 677336780 1002060001 1016005170 2004120002 2032010340 3006180003 4008240004 5010300005 6012360006 10020600010 12024720012 15030900015 17035020017 20041200020 30061800030 34070040034 51105060051 60123600060 68140080068 85175100085 102210120102 170350200170 204420240204 255525300255 340700400340 511050600510 1022101201020