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1002002200220 = 2257311607143669
BaseRepresentation
bin11101001010010111111…
…11000011011010011100
310112210100020220201211202
432211023333003122130
5112404100030401340
62044151412335032
7132251356113320
oct16451377033234
93483306821752
101002002200220
11356a4613561a
12142240614478
13736470334b8
14366d6315980
151b0e7410c15
hexe94bfc369c

1002002200220 has 96 divisors (see below), whose sum is σ = 2483941662720. Its totient is φ = 332252363520.

The previous prime is 1002002200217. The next prime is 1002002200229. The reversal of 1002002200220 is 220022002001.

1002002200220 is a modest number, since divided by 2200220 gives 10020 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002002200229) 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, 6902546 + ... + 7046214.

It is an arithmetic number, because the mean of its divisors is an integer number (25874392320).

Almost surely, 21002002200220 is an apocalyptic number.

1002002200220 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 1002002200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241970831360).

1002002200220 is an abundant number, since it is smaller than the sum of its proper divisors (1481939462500).

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

1002002200220 is a wasteful number, since it uses less digits than its factorization.

1002002200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145323 (or 145321 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 1002002200220 its reverse (220022002001), we get a palindrome (1222024202221).

The spelling of 1002002200220 in words is "one trillion, two billion, two million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 1607 2170 3214 4340 6428 8035 11249 16070 22498 32140 44996 49817 56245 99634 112490 143669 199268 224980 249085 287338 348719 498170 574676 697438 718345 996340 1005683 1394876 1436690 1743595 2011366 2873380 3487190 4022732 4453739 5028415 6974380 8907478 10056830 17814956 20113660 22268695 31176173 44537390 62352346 89074780 124704692 155880865 230876083 311761730 461752166 623523460 923504332 1154380415 1616132581 2308760830 3232265162 4617521660 6464530324 7157158573 8080662905 14314317146 16161325810 28628634292 32322651620 35785792865 50100110011 71571585730 100200220022 143143171460 200400440044 250500550055 501001100110 1002002200220