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1012200020010 = 233571131403063
BaseRepresentation
bin11101011101010111101…
…00101001100000101010
310120202122221220122201000
432232223310221200222
5113040441201120020
62052555343135430
7133062155132334
oct16565364514052
93522587818630
101012200020010
113602a9583563
121442078a4576
13745b09c37aa
1436dc2850454
151b4e2847090
hexebabd2982a

1012200020010 has 128 divisors (see below), whose sum is σ = 2758118584320. Its totient is φ = 264086222400.

The previous prime is 1012200019993. The next prime is 1012200020071. The reversal of 1012200020010 is 100200022101.

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 = 1012200019974 and 1012200020001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2309739 + ... + 2712801.

It is an arithmetic number, because the mean of its divisors is an integer number (21547801440).

Almost surely, 21012200020010 is an apocalyptic number.

1012200020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012200020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379059292160).

1012200020010 is an abundant number, since it is smaller than the sum of its proper divisors (1745918564310).

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

1012200020010 is a wasteful number, since it uses less digits than its factorization.

1012200020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403281 (or 403275 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1012200020010 its reverse (100200022101), we get a palindrome (1112400042111).

The spelling of 1012200020010 in words is "one trillion, twelve billion, two hundred million, twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 90 131 135 142 213 262 270 355 393 426 639 655 710 786 1065 1179 1278 1310 1917 1965 2130 2358 3195 3537 3834 3930 5895 6390 7074 9301 9585 11790 17685 18602 19170 27903 35370 46505 55806 83709 93010 139515 167418 251127 279030 403063 418545 502254 806126 837090 1209189 1255635 2015315 2418378 2511270 3627567 4030630 6045945 7255134 10882701 12091890 18137835 21765402 28617473 36275670 52801253 54413505 57234946 85852419 105602506 108827010 143087365 158403759 171704838 257557257 264006265 286174730 316807518 429262095 475211277 515114514 528012530 772671771 792018795 858524190 950422554 1287786285 1425633831 1545343542 1584037590 2376056385 2575572570 2851267662 3748888963 3863358855 4752112770 7128169155 7497777926 7726717710 11246666889 14256338310 18744444815 22493333778 33740000667 37488889630 56233334445 67480001334 101220002001 112466668890 168700003335 202440004002 337400006670 506100010005 1012200020010