Search a number
-
+
1022010221001 = 372114153290861
BaseRepresentation
bin11101101111101001000…
…11100110000111001001
310121200222122112111112110
432313310203212013021
5113221034104033001
62101301025532533
7133560236354400
oct16676443460711
93550878474473
101022010221001
11364483142790
121460a51a4149
13754b5288b53
14376736c8637
151b8b8c133d6
hexedf48e61c9

1022010221001 has 96 divisors (see below), whose sum is σ = 1804870843776. Its totient is φ = 508190592000.

The previous prime is 1022010220997. The next prime is 1022010221009. The reversal of 1022010221001 is 1001220102201.

It is not a de Polignac number, because 1022010221001 - 22 = 1022010220997 is a prime.

It is a super-2 number, since 2×10220102210012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022010221009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3368311 + ... + 3659171.

It is an arithmetic number, because the mean of its divisors is an integer number (18800737956).

Almost surely, 21022010221001 is an apocalyptic number.

1022010221001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022010221001 is a deficient number, since it is larger than the sum of its proper divisors (782860622775).

1022010221001 is a wasteful number, since it uses less digits than its factorization.

1022010221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290983 (or 290976 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022010221001 its reverse (1001220102201), we get a palindrome (2023230323202).

The spelling of 1022010221001 in words is "one trillion, twenty-two billion, ten million, two hundred twenty-one thousand, one".

Divisors: 1 3 7 11 21 33 41 49 53 77 123 147 159 231 287 371 451 539 583 861 1113 1353 1617 1749 2009 2173 2597 3157 4081 6027 6519 7791 9471 12243 15211 22099 23903 28567 45633 66297 71709 85701 106477 167321 290861 319431 501963 872583 1171247 2036027 3199471 3513741 6108081 9598413 11925301 14252189 15415633 22396297 35775903 42756567 46246899 67188891 83477107 107909431 131178311 156774079 169571963 250431321 323728293 393534933 470322237 508715889 584339749 632040953 755366017 918248177 1187003741 1753019247 1896122859 2266098051 2754744531 3561011223 4424286671 6427737239 6952450483 8309026187 13272860013 19283211717 20857351449 24927078561 30970006697 48667153381 92910020091 146001460143 340670073667 1022010221001