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1112012002010 = 257213473714259
BaseRepresentation
bin10000001011101001000…
…101001001001011011010
310221022022000202200202002
4100023221011021023122
5121204400033031020
62210503512241002
7143224460026400
oct20135105111332
93838260680662
101112012002010
1139966886a988
1215b6226a0162
1380b29582980
143bb7092b470
151ddd52e2975
hex102e91492da

1112012002010 has 96 divisors (see below), whose sum is σ = 2560878270720. Its totient is φ = 344445429888.

The previous prime is 1112012001967. The next prime is 1112012002027. The reversal of 1112012002010 is 102002102111.

It is a super-2 number, since 2×11120120020102 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1112012001982 and 1112012002000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1557740 + ... + 2156519.

It is an arithmetic number, because the mean of its divisors is an integer number (26675815320).

Almost surely, 21112012002010 is an apocalyptic number.

1112012002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1112012002010 is an abundant number, since it is smaller than the sum of its proper divisors (1448866268710).

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

1112012002010 is a wasteful number, since it uses less digits than its factorization.

1112012002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714340 (or 3714333 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1112012002010 its reverse (102002102111), we get a palindrome (1214014104121).

The spelling of 1112012002010 in words is "one trillion, one hundred twelve billion, twelve million, two thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 47 49 65 70 91 94 98 130 182 235 245 329 455 470 490 611 637 658 910 1222 1274 1645 2303 3055 3185 3290 4277 4606 6110 6370 8554 11515 21385 23030 29939 42770 59878 149695 299390 3714259 7428518 18571295 25999813 37142590 48285367 51999626 96570734 129999065 174570173 181998691 241426835 259998130 337997569 349140346 363997382 482853670 675995138 872850865 909993455 1221991211 1689987845 1745701730 1819986910 2269412249 2365982983 2443982422 3379975690 4538824498 4731965966 6109956055 8553938477 11347061245 11829914915 12219912110 15885885743 17107876954 22694122490 23659829830 31771771486 42769692385 79429428715 85539384770 111201200201 158858857430 222402400402 556006001005 1112012002010