Search a number
-
+
1002002112111 = 3711213191596493
BaseRepresentation
bin11101001010010111111…
…10101101111001101111
310112210100020202020222110
432211023332231321233
5112404100020041421
62044151410415103
7132251355265410
oct16451376557157
93483306666873
101002002112111
11356a46085400
12142240591493
1373647002370
14366d62d1807
151b0e73e4a76
hexe94bfade6f

1002002112111 has 96 divisors (see below), whose sum is σ = 1902509969920. Its totient is φ = 455191799040.

The previous prime is 1002002112109. The next prime is 1002002112119. The reversal of 1002002112111 is 1112112002001.

It is not a de Polignac number, because 1002002112111 - 21 = 1002002112109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002002112119) 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, 170620 + ... + 1425873.

Almost surely, 21002002112111 is an apocalyptic number.

1002002112111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002002112111 is a deficient number, since it is larger than the sum of its proper divisors (900507857809).

1002002112111 is a wasteful number, since it uses less digits than its factorization.

1002002112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596557 (or 1596546 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1002002112111 its reverse (1112112002001), we get a palindrome (2114114114112).

The spelling of 1002002112111 in words is "one trillion, two billion, two million, one hundred twelve thousand, one hundred eleven".

Divisors: 1 3 7 11 13 19 21 33 39 57 77 91 121 133 143 209 231 247 273 363 399 429 627 741 847 1001 1463 1573 1729 2299 2541 2717 3003 4389 4719 5187 6897 8151 11011 16093 19019 29887 33033 48279 57057 89661 209209 627627 1596493 4789479 11175451 17561423 20754409 30333367 33526353 52684269 62263227 91000101 122929961 145280863 193175653 212333569 228298499 333667037 368789883 394333771 435842589 579526959 637000707 684895497 1001001111 1183001313 1352229571 1598089493 2335669259 2511283489 2760336397 3670337407 4056688713 4337671481 4794268479 7007007777 7533850467 8281009191 11011012221 13013014443 17578984423 25692361849 30363700367 47714386291 52736953269 77077085547 91091101101 143143158873 334000704037 1002002112111