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1012112020020 = 2235113227657617
BaseRepresentation
bin11101011101001101001…
…00111101001000110100
310120202102211022210102010
432232212210331020310
5113040301134120040
62052542521044220
7133060036136523
oct16564644751064
93522384283363
101012112020020
113602639388a2
121441a2326670
13745986c1caa
1436db4ca44ba
151b4d9c62e80
hexeba693d234

1012112020020 has 96 divisors (see below), whose sum is σ = 2871591585408. Its totient is φ = 266329219072.

The previous prime is 1012112019979. The next prime is 1012112020063. The reversal of 1012112020020 is 200202112101.

It is a super-3 number, since 3×10121120200203 (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 = 1012112019978 and 1012112020005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1210252 + ... + 1867868.

It is an arithmetic number, because the mean of its divisors is an integer number (29912412348).

Almost surely, 21012112020020 is an apocalyptic number.

1012112020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012112020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435795792704).

1012112020020 is an abundant number, since it is smaller than the sum of its proper divisors (1859479565388).

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

1012112020020 is a wasteful number, since it uses less digits than its factorization.

1012112020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657969 (or 657967 counting only the distinct ones).

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

Adding to 1012112020020 its reverse (200202112101), we get a palindrome (1212314132121).

The spelling of 1012112020020 in words is "one trillion, twelve billion, one hundred twelve million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 227 339 452 454 565 678 681 908 1130 1135 1356 1362 1695 2260 2270 2724 3390 3405 4540 6780 6810 13620 25651 51302 76953 102604 128255 153906 256510 307812 384765 513020 657617 769530 1315234 1539060 1972851 2630468 3288085 3945702 6576170 7891404 9864255 13152340 19728510 39457020 74310721 148621442 149279059 222932163 297242884 298558118 371553605 445864326 447837177 597116236 743107210 746395295 891728652 895674354 1114660815 1486214420 1492790590 1791348708 2229321630 2239185885 2985581180 4458643260 4478371770 8956743540 16868533667 33737067334 50605601001 67474134668 84342668335 101211202002 168685336670 202422404004 253028005005 337370673340 506056010010 1012112020020