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1002102022020 = 2235111518336397
BaseRepresentation
bin11101001010100011110…
…11110101111110000100
310112210121012202012121110
432211101323311332010
5112404301104201040
62044205340045020
7132254010434061
oct16452173657604
93483535665543
101002102022020
11356a97515180
12142269b33770
1373661913b58
143670569bc68
151b10107c980
hexe951ef5f84

1002102022020 has 48 divisors (see below), whose sum is σ = 3060966178368. Its totient is φ = 242933823360.

The previous prime is 1002102021997. The next prime is 1002102022037. The reversal of 1002102022020 is 202202012001.

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 = 1002102021987 and 1002102022005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759167539 + ... + 759168858.

It is an arithmetic number, because the mean of its divisors is an integer number (63770128716).

Almost surely, 21002102022020 is an apocalyptic number.

1002102022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002102022020 is an abundant number, since it is smaller than the sum of its proper divisors (2058864156348).

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

1002102022020 is a wasteful number, since it uses less digits than its factorization.

1002102022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518336420 (or 1518336418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1002102022020 its reverse (202202012001), we get a palindrome (1204304034021).

The spelling of 1002102022020 in words is "one trillion, two billion, one hundred two million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1518336397 3036672794 4555009191 6073345588 7591681985 9110018382 15183363970 16701700367 18220036764 22775045955 30366727940 33403400734 45550091910 50105101101 66806801468 83508501835 91100183820 100210202202 167017003670 200420404404 250525505505 334034007340 501051011010 1002102022020