Search a number
-
+
21120000010002 = 2329740138537829
BaseRepresentation
bin1001100110101011000100…
…00110010010011100010010
32202210001102010002001100200
410303111202012102130102
510232012230000310002
6112530221041200030
74306604201024325
oct463254206223422
982701363061320
1021120000010002
116802a3a454613
122451245330016
13ba27b876b34a
145302dba107bc
152695a65a5b1c
hex133562192712

21120000010002 has 96 divisors (see below), whose sum is σ = 46364994028080. Its totient is φ = 6947356262400.

The previous prime is 21120000009991. The next prime is 21120000010007. The reversal of 21120000010002 is 20001000002112.

It can be written as a sum of positive squares in 8 ways, for example, as 18880580542041 + 2239419467961 = 4345179^2 + 1496469^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (21120000010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2697658624 + ... + 2697666452.

Almost surely, 221120000010002 is an apocalyptic number.

21120000010002 is an abundant number, since it is smaller than the sum of its proper divisors (25244994018078).

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

21120000010002 is a wasteful number, since it uses less digits than its factorization.

21120000010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12188 (or 12185 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21120000010002 its reverse (20001000002112), we get a palindrome (41121000012114).

The spelling of 21120000010002 in words is "twenty-one trillion, one hundred twenty billion, ten thousand, two".

Divisors: 1 2 3 6 9 18 97 194 291 401 582 802 873 1203 1746 2406 3609 3853 7218 7706 7829 11559 15658 23118 23487 34677 38897 46974 69354 70461 77794 116691 140922 233382 350073 373741 700146 747482 759413 1121223 1518826 1545053 2242446 2278239 3090106 3139429 3363669 4556478 4635159 6278858 6727338 6834717 9270318 9418287 13669434 13905477 18836574 27810954 28254861 30165137 56509722 60330274 90495411 149870141 180990822 271486233 299740282 304524613 449610423 542972466 609049226 899220846 913573839 1348831269 1827147678 2697662538 2740721517 2926018289 5481443034 5852036578 8778054867 12096219937 17556109734 24192439874 26334164601 36288659811 52668329202 72577319622 108865979433 217731958866 1173333333889 2346666667778 3520000001667 7040000003334 10560000005001 21120000010002