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213000123 = 3717617967
BaseRepresentation
bin11001011001000…
…01111110111011
3112211210112020110
430230201332323
5414012000443
633045155403
75164320420
oct1454417673
9484715213
10213000123
11aa262166
125b3bbb63
133518959b
1420407d47
1513a76233
hexcb21fbb

213000123 has 32 divisors (see below), whose sum is σ = 344577024. Its totient is φ = 114250752.

The previous prime is 213000121. The next prime is 213000133. The reversal of 213000123 is 321000312.

It is a happy number.

It is not a de Polignac number, because 213000123 - 21 = 213000121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213000099 and 213000108.

It is not an unprimeable number, because it can be changed into a prime (213000121) 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, 219786 + ... + 220752.

It is an arithmetic number, because the mean of its divisors is an integer number (10768032).

Almost surely, 2213000123 is an apocalyptic number.

213000123 is a deficient number, since it is larger than the sum of its proper divisors (131576901).

213000123 is a wasteful number, since it uses less digits than its factorization.

213000123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 213000123 is about 14594.5237332364. The cubic root of 213000123 is about 597.2093769384.

Adding to 213000123 its reverse (321000312), we get a palindrome (534000435).

The spelling of 213000123 in words is "two hundred thirteen million, one hundred twenty-three", and thus it is an aban number.

Divisors: 1 3 7 17 21 51 119 357 617 967 1851 2901 4319 6769 10489 12957 16439 20307 31467 49317 73423 115073 220269 345219 596639 1789917 4176473 10142863 12529419 30428589 71000041 213000123