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213122010 = 23553134039
BaseRepresentation
bin11001011001111…
…11101111011010
3112212000201102210
430230333233122
5414024401020
633051535550
75165335653
oct1454775732
9485021383
10213122010
11aa3357a2
125b45a5b6
13351ccbca
142043a52a
1513a9c3e0
hexcb3fbda

213122010 has 32 divisors (see below), whose sum is σ = 521147520. Its totient is φ = 55759808.

The previous prime is 213121991. The next prime is 213122029. The reversal of 213122010 is 10221312.

213122010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213121991) and next prime (213122029).

It is a super-2 number, since 2×2131220102 = 90841982292880200, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 65430 + ... + 68609.

It is an arithmetic number, because the mean of its divisors is an integer number (16285860).

Almost surely, 2213122010 is an apocalyptic number.

213122010 is an abundant number, since it is smaller than the sum of its proper divisors (308025510).

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

213122010 is a wasteful number, since it uses less digits than its factorization.

213122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134102.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 213122010 is about 14598.6989146293. The cubic root of 213122010 is about 597.3232707363.

Adding to 213122010 its reverse (10221312), we get a palindrome (223343322).

The spelling of 213122010 in words is "two hundred thirteen million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1590 134039 268078 402117 670195 804234 1340390 2010585 4021170 7104067 14208134 21312201 35520335 42624402 71040670 106561005 213122010