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10011122110 = 2511412718191
BaseRepresentation
bin10010101001011010…
…11001100110111110
3221211200200200210101
421110231121212332
5131000321401420
64333221031314
7503041063633
oct112455314676
927750620711
1010011122110
114278021240
121b3485553a
13c370b29c2
146ad81a18a
153d8d5860a
hex254b599be

10011122110 has 64 divisors (see below), whose sum is σ = 20214448128. Its totient is φ = 3538080000.

The previous prime is 10011122087. The next prime is 10011122119. The reversal of 10011122110 is 1122111001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011122119) 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 31 ways as a sum of consecutive naturals, for example, 1218115 + ... + 1226305.

It is an arithmetic number, because the mean of its divisors is an integer number (315850752).

Almost surely, 210011122110 is an apocalyptic number.

10011122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011122110 is an abundant number, since it is smaller than the sum of its proper divisors (10203326018).

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

10011122110 is a wasteful number, since it uses less digits than its factorization.

10011122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8521.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10011122110 its reverse (1122111001), we get a palindrome (11133233111).

It can be divided in two parts, 100111 and 22110, that added together give a palindrome (122221).

The spelling of 10011122110 in words is "ten billion, eleven million, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 41 55 82 110 205 271 410 451 542 902 1355 2255 2710 2981 4510 5962 8191 11111 14905 16382 22222 29810 40955 55555 81910 90101 111110 122221 180202 244442 335831 450505 611105 671662 901010 1222210 1679155 2219761 3358310 3694141 4439522 7388282 11098805 18470705 22197610 24417371 36941410 48834742 91010201 122086855 182020402 244173710 455051005 910102010 1001112211 2002224422 5005561055 10011122110