Search a number
-
+
213004701 = 3371386693
BaseRepresentation
bin11001011001000…
…11000110011101
3112211210202112000
430230203012131
5414012122301
633045232513
75164336650
oct1454430635
9484722460
10213004701
11aa265648
125b402739
133518b6b0
1420409897
1513a77786
hexcb2319d

213004701 has 32 divisors (see below), whose sum is σ = 388389120. Its totient is φ = 112352832.

The previous prime is 213004699. The next prime is 213004703. The reversal of 213004701 is 107400312.

213004701 = T2118 + T2119 + ... + T2208.

213004701 is digitally balanced in base 2, 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 (213004699) and next prime (213004703).

It is not a de Polignac number, because 213004701 - 21 = 213004699 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213004703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40890 + ... + 45803.

It is an arithmetic number, because the mean of its divisors is an integer number (12137160).

Almost surely, 2213004701 is an apocalyptic number.

213004701 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213004701 is a deficient number, since it is larger than the sum of its proper divisors (175384419).

213004701 is a wasteful number, since it uses less digits than its factorization.

213004701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86722 (or 86716 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 213004701 is about 14594.6805720440. The cubic root of 213004701 is about 597.2136555039.

The spelling of 213004701 in words is "two hundred thirteen million, four thousand, seven hundred one".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 86693 260079 606851 780237 1127009 1820553 2340711 3381027 5461659 7889063 10143081 16384977 23667189 30429243 71001567 213004701