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10212211110 = 23513125710111
BaseRepresentation
bin10011000001011000…
…11111100110100110
3222100201002002001010
421200230133212212
5131403311223420
64405203043050
7511032235143
oct114054374646
928321062033
1010212211110
1143705883a2
121b90070486
13c6995b88a
146cc4033ca
153eb82a4e0
hex260b1f9a6

10212211110 has 64 divisors (see below), whose sum is σ = 24794947584. Its totient is φ = 2691686400.

The previous prime is 10212211103. The next prime is 10212211111. The reversal of 10212211110 is 1111221201.

10212211110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212211111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1004955 + ... + 1015065.

It is an arithmetic number, because the mean of its divisors is an integer number (387421056).

Almost surely, 210212211110 is an apocalyptic number.

10212211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10212211110 is an abundant number, since it is smaller than the sum of its proper divisors (14582736474).

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

10212211110 is a wasteful number, since it uses less digits than its factorization.

10212211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10509.

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

Adding to 10212211110 its reverse (1111221201), we get a palindrome (11323432311).

The spelling of 10212211110 in words is "ten billion, two hundred twelve million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 131 257 262 393 514 655 771 786 1285 1310 1542 1965 2570 3855 3930 7710 10111 20222 30333 33667 50555 60666 67334 101001 101110 151665 168335 202002 303330 336670 505005 1010010 1324541 2598527 2649082 3973623 5197054 6622705 7795581 7947246 12992635 13245410 15591162 19868115 25985270 38977905 39736230 77955810 340407037 680814074 1021221111 1702035185 2042442222 3404070370 5106105555 10212211110