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1020020010020 = 22511171012700323
BaseRepresentation
bin11101101011111011110…
…11100010110000100100
310121111211221121022022122
432311331323202300210
5113203000110310040
62100331332445112
7133460022013124
oct16657573426044
93544757538278
101020020010020
11363651781820
1214582a779798
1375258b5b30b
143752525ac84
151b7ee1361b5
hexed7dee2c24

1020020010020 has 96 divisors (see below), whose sum is σ = 2498728611456. Its totient is φ = 345641216000.

The previous prime is 1020020010007. The next prime is 1020020010029. The reversal of 1020020010020 is 200100200201.

It is not an unprimeable number, because it can be changed into a prime (1020020010029) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 972422 + ... + 1727901.

It is an arithmetic number, because the mean of its divisors is an integer number (26028423036).

Almost surely, 21020020010020 is an apocalyptic number.

1020020010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020020010020 is an abundant number, since it is smaller than the sum of its proper divisors (1478708601436).

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

1020020010020 is a wasteful number, since it uses less digits than its factorization.

1020020010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700461 (or 2700459 counting only the distinct ones).

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

Adding to 1020020010020 its reverse (200100200201), we get a palindrome (1220120210221).

The spelling of 1020020010020 in words is "one trillion, twenty billion, twenty million, ten thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 101 110 170 187 202 220 340 374 404 505 748 935 1010 1111 1717 1870 2020 2222 3434 3740 4444 5555 6868 8585 11110 17170 18887 22220 34340 37774 75548 94435 188870 377740 2700323 5400646 10801292 13501615 27003230 29703553 45905491 54006460 59407106 91810982 118814212 148517765 183621964 229527455 272732623 297035530 459054910 504960401 545465246 594071060 918109820 1009920802 1090930492 1363663115 2019841604 2524802005 2727326230 3000058853 4636454591 5049604010 5454652460 6000117706 9272909182 10099208020 12000235412 15000294265 18545818364 23182272955 30000588530 46364545910 51001000501 60001177060 92729091820 102002001002 204004002004 255005002505 510010005010 1020020010020