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1002001122020 = 2251513134792213
BaseRepresentation
bin11101001010010111110…
…10111100001011100100
310112210100011212221211102
432211023322330023210
5112404044241401040
62044151333255232
7132251344003013
oct16451372741344
93483304787742
101002001122020
11356a45569548
12142240194518
1373646a46802
14366d6114a7a
151b0e729b515
hexe94bebc2e4

1002001122020 has 96 divisors (see below), whose sum is σ = 2130303006720. Its totient is φ = 395866598400.

The previous prime is 1002001121987. The next prime is 1002001122079. The reversal of 1002001122020 is 202211002001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1002001121992 and 1002001122010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452778434 + ... + 452780646.

It is an arithmetic number, because the mean of its divisors is an integer number (22190656320).

Almost surely, 21002001122020 is an apocalyptic number.

1002001122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002001122020 is an abundant number, since it is smaller than the sum of its proper divisors (1128301884700).

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

1002001122020 is a wasteful number, since it uses less digits than its factorization.

1002001122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1002001122020 its reverse (202211002001), we get a palindrome (1204212124021).

The spelling of 1002001122020 in words is "one trillion, two billion, one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 151 302 313 479 604 626 755 958 1252 1510 1565 1916 2213 2395 3020 3130 4426 4790 6260 8852 9580 11065 22130 44260 47263 72329 94526 144658 149927 189052 236315 289316 299854 334163 361645 472630 599708 668326 692669 723290 749635 945260 1060027 1336652 1385338 1446580 1499270 1670815 2120054 2770676 2998540 3341630 3463345 4240108 5300135 6683260 6926690 10600270 13853380 21200540 22638977 45277954 90555908 104593019 113194885 160064077 209186038 226389770 320128154 331788451 418372076 452779540 522965095 640256308 663576902 800320385 1045930190 1327153804 1600640770 1658942255 2091860380 3201281540 3317884510 6635769020 50100056101 100200112202 200400224404 250500280505 501000561010 1002001122020