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213134103 = 327131971321
BaseRepresentation
bin11001011010000…
…10101100010111
3112212001100000200
430231002230113
5414030242403
633052111543
75165416140
oct1455025427
9485040020
10213134103
11aa343896
125b4655b3
1335205570
1420440ac7
1513aa0ca3
hexcb42b17

213134103 has 48 divisors (see below), whose sum is σ = 381116736. Its totient is φ = 111767040.

The previous prime is 213134099. The next prime is 213134111. The reversal of 213134103 is 301431312.

213134103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213134103 - 22 = 213134099 is a prime.

It is a super-2 number, since 2×2131341032 = 90852291723229218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213134003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160683 + ... + 162003.

It is an arithmetic number, because the mean of its divisors is an integer number (7939932).

Almost surely, 2213134103 is an apocalyptic number.

213134103 is a deficient number, since it is larger than the sum of its proper divisors (167982633).

213134103 is a wasteful number, since it uses less digits than its factorization.

213134103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 213134103 is about 14599.1130894996. The cubic root of 213134103 is about 597.3345683239.

Adding to 213134103 its reverse (301431312), we get a palindrome (514565415).

The spelling of 213134103 in words is "two hundred thirteen million, one hundred thirty-four thousand, one hundred three".

Divisors: 1 3 7 9 13 21 39 63 91 117 197 273 591 819 1321 1379 1773 2561 3963 4137 7683 9247 11889 12411 17173 17927 23049 27741 51519 53781 83223 120211 154557 161343 260237 360633 780711 1081899 1821659 2342133 3383081 5464977 10149243 16394931 23681567 30447729 71044701 213134103