Search a number
-
+
1002021112020 = 223589757247879
BaseRepresentation
bin11101001010011010001…
…11001100100011010100
310112210101120111112221210
432211031013030203110
5112404114401041040
62044153325541420
7132252005630625
oct16451507144324
93483346445853
101002021112020
11356a55882305
12142246a14870
137364ac25506
14366d8a39a4c
151b0e8de9480
hexe94d1cc8d4

1002021112020 has 96 divisors (see below), whose sum is σ = 2840942764800. Its totient is φ = 263853241344.

The previous prime is 1002021112007. The next prime is 1002021112133. The reversal of 1002021112020 is 202111202001.

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 = 1002021111987 and 1002021112005.

It is a congruent number.

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, 3918441 + ... + 4166319.

It is an arithmetic number, because the mean of its divisors is an integer number (29593153800).

Almost surely, 21002021112020 is an apocalyptic number.

1002021112020 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 1002021112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420471382400).

1002021112020 is an abundant number, since it is smaller than the sum of its proper divisors (1838921652780).

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

1002021112020 is a wasteful number, since it uses less digits than its factorization.

1002021112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248737 (or 248735 counting only the distinct ones).

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

Adding to 1002021112020 its reverse (202111202001), we get a palindrome (1204132314021).

The spelling of 1002021112020 in words is "one trillion, two billion, twenty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 757 890 1068 1335 1514 1780 2271 2670 3028 3785 4542 5340 7570 9084 11355 15140 22710 45420 67373 134746 202119 247879 269492 336865 404238 495758 673730 743637 808476 991516 1010595 1239395 1347460 1487274 2021190 2478790 2974548 3718185 4042380 4957580 7436370 14872740 22061231 44122462 66183693 88244924 110306155 132367386 187644403 220612310 264734772 330918465 375288806 441224620 562933209 661836930 750577612 938222015 1125866418 1323673860 1876444030 2251732836 2814666045 3752888060 5629332090 11258664180 16700351867 33400703734 50101055601 66801407468 83501759335 100202111202 167003518670 200404222404 250505278005 334007037340 501010556010 1002021112020