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213145012 = 22293753937
BaseRepresentation
bin11001011010001…
…01010110110100
3112212001212222201
430231011112310
5414031120022
633052234244
75165463013
oct1455052664
9485055881
10213145012
11aa351003
125b46b984
133520a512
1420444a7a
1513aa4127
hexcb455b4

213145012 has 48 divisors (see below), whose sum is σ = 404202960. Its totient is φ = 98122752.

The previous prime is 213145003. The next prime is 213145013. The reversal of 213145012 is 210541312.

213145012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1267876 + 211877136 = 1126^2 + 14556^2 .

It is a super-2 number, since 2×2131450122 = 90861592280960288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213145013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227008 + ... + 227944.

It is an arithmetic number, because the mean of its divisors is an integer number (8420895).

Almost surely, 2213145012 is an apocalyptic number.

It is an amenable number.

213145012 is a deficient number, since it is larger than the sum of its proper divisors (191057948).

213145012 is a wasteful number, since it uses less digits than its factorization.

213145012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 213145012 is about 14599.4867033057. The cubic root of 213145012 is about 597.3447594219.

Adding to 213145012 its reverse (210541312), we get a palindrome (423686324).

The spelling of 213145012 in words is "two hundred thirteen million, one hundred forty-five thousand, twelve".

Divisors: 1 2 4 29 37 53 58 74 106 116 148 212 937 1073 1537 1874 1961 2146 3074 3748 3922 4292 6148 7844 27173 34669 49661 54346 56869 69338 99322 108692 113738 138676 198644 227476 1005401 1440169 1837457 2010802 2880338 3674914 4021604 5760676 7349828 53286253 106572506 213145012