Search a number
-
+
213496101 = 33713312803
BaseRepresentation
bin11001011100110…
…11000100100101
3112212201201121000
430232123010211
5414123333401
633103543513
75201454420
oct1456330445
9485651530
10213496101
11aa570865
125b5bab99
1335301270
14204d69b7
1513b23186
hexcb9b125

213496101 has 64 divisors (see below), whose sum is σ = 401981440. Its totient is φ = 108941760.

The previous prime is 213496099. The next prime is 213496121. The reversal of 213496101 is 101694312.

213496101 is a `hidden beast` number, since 2 + 1 + 3 + 49 + 610 + 1 = 666.

213496101 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 213496101 - 21 = 213496099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213496121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74766 + ... + 77568.

It is an arithmetic number, because the mean of its divisors is an integer number (6280960).

Almost surely, 2213496101 is an apocalyptic number.

213496101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213496101 is a deficient number, since it is larger than the sum of its proper divisors (188485339).

213496101 is a wasteful number, since it uses less digits than its factorization.

213496101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 213496101 is about 14611.5057745600. The cubic root of 213496101 is about 597.6725583662.

The spelling of 213496101 in words is "two hundred thirteen million, four hundred ninety-six thousand, one hundred one".

Divisors: 1 3 7 9 13 21 27 31 39 63 91 93 117 189 217 273 279 351 403 651 819 837 1209 1953 2457 2803 2821 3627 5859 8409 8463 10881 19621 25227 25389 36439 58863 75681 76167 86893 109317 176589 255073 260679 327951 529767 608251 765219 782037 983853 1129609 1824753 2295657 2346111 3388827 5474259 6886971 7907263 10166481 16422777 23721789 30499443 71165367 213496101