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2002010100222 = 2311239277458189
BaseRepresentation
bin11101001000100001000…
…110011101000111111110
321002101112112012112002110
4131020201012131013332
5230300104041201342
64131413304234450
7264432451034406
oct35104106350776
97071475175073
102002010100222
11702058566940
1228400516ba26
13116a33b36aa2
146cc7d817806
15371246d7c9c
hex1d22119d1fe

2002010100222 has 64 divisors (see below), whose sum is σ = 4402142899200. Its totient is φ = 601949066880.

The previous prime is 2002010100157. The next prime is 2002010100229. The reversal of 2002010100222 is 2220010102002.

It is a junction number, because it is equal to n+sod(n) for n = 2002010100198 and 2002010100207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002010100229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4140304 + ... + 4598492.

It is an arithmetic number, because the mean of its divisors is an integer number (68783482800).

Almost surely, 22002010100222 is an apocalyptic number.

2002010100222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2002010100222 is an abundant number, since it is smaller than the sum of its proper divisors (2400132798978).

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

2002010100222 is a wasteful number, since it uses less digits than its factorization.

2002010100222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458721.

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

Adding to 2002010100222 its reverse (2220010102002), we get a palindrome (4222020202224).

The spelling of 2002010100222 in words is "two trillion, two billion, ten million, one hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 239 277 478 554 717 831 1434 1662 2629 3047 5258 6094 7887 9141 15774 18282 66203 132406 198609 397218 458189 728233 916378 1374567 1456466 2184699 2749134 4369398 5040079 10080158 15120237 30240474 109507171 126918353 219014342 253836706 328521513 380755059 657043026 761510118 1204578881 1396101883 2409157762 2792203766 3613736643 4188305649 7227473286 8376611298 30333486367 60666972734 91000459101 182000918202 333668350037 667336700074 1001005050111 2002010100222