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4213214010 = 2325293159773
BaseRepresentation
bin1111101100100000…
…1000101100111010
3101212121220110002100
43323020020230322
532112040322020
61534023444230
7206256504525
oct37310105472
911777813070
104213214010
111872282055
12996bb6676
13521b54455
142bd7b5bbc
15199d3ea90
hexfb208b3a

4213214010 has 48 divisors (see below), whose sum is σ = 10991812104. Its totient is φ = 1119682176.

The previous prime is 4213213993. The next prime is 4213214041. The reversal of 4213214010 is 104123124.

4213214010 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 4 ways, for example, as 4160637009 + 52577001 = 64503^2 + 7251^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53517 + ... + 106256.

Almost surely, 24213214010 is an apocalyptic number.

4213214010 is an abundant number, since it is smaller than the sum of its proper divisors (6778598094).

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

4213214010 is a wasteful number, since it uses less digits than its factorization.

4213214010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160079 (or 160076 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4213214010 is about 64909.2752231913. The cubic root of 4213214010 is about 1615.1189271723.

Adding to 4213214010 its reverse (104123124), we get a palindrome (4317337134).

The spelling of 4213214010 in words is "four billion, two hundred thirteen million, two hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 293 586 879 1465 1758 2637 2930 4395 5274 8790 13185 26370 159773 319546 479319 798865 958638 1437957 1597730 2396595 2875914 4793190 7189785 14379570 46813489 93626978 140440467 234067445 280880934 421321401 468134890 702202335 842642802 1404404670 2106607005 4213214010