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1002000112020 = 2233517109150339
BaseRepresentation
bin11101001010010111101…
…11000101100110010100
310112210100002222122101000
432211023313011212110
5112404044012041040
62044151255503300
7132251332265265
oct16451367054624
93483302878330
101002000112020
11356a44a39736
1214223b987b30
1373646781b8b
14366d5d3096c
151b0e714c130
hexe94bdc5994

1002000112020 has 96 divisors (see below), whose sum is σ = 3300706281600. Its totient is φ = 251482378752.

The previous prime is 1002000111989. The next prime is 1002000112021. The reversal of 1002000112020 is 202110002001.

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 = 1002000111993 and 1002000112011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002000112021) 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, 54565990 + ... + 54584349.

It is an arithmetic number, because the mean of its divisors is an integer number (34382357100).

Almost surely, 21002000112020 is an apocalyptic number.

1002000112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002000112020 is an abundant number, since it is smaller than the sum of its proper divisors (2298706169580).

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

1002000112020 is a wasteful number, since it uses less digits than its factorization.

1002000112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109150374 (or 109150366 counting only the distinct ones).

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

Adding to 1002000112020 its reverse (202110002001), we get a palindrome (1204110114021).

The spelling of 1002000112020 in words is "one trillion, two billion, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 109150339 218300678 327451017 436601356 545751695 654902034 982353051 1091503390 1309804068 1637255085 1855555763 1964706102 2183006780 2947059153 3274510170 3711111526 3929412204 4911765255 5566667289 5894118306 6549020340 7422223052 9277778815 9823530510 11133334578 11788236612 14735295765 16700001867 18555557630 19647061020 22266669156 27833336445 29470591530 33400003734 37111115260 50100005601 55666672890 58941183060 66800007468 83500009335 100200011202 111333345780 167000018670 200400022404 250500028005 334000037340 501000056010 1002000112020