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213242031 = 3343613011
BaseRepresentation
bin11001011010111…
…01000010101111
3112212020211002000
430231131002233
5414042221111
633054303343
75166345612
oct1455350257
9485224060
10213242031
11aa407992
125b4b7b53
1335242722
142046c179
1513ac2c56
hexcb5d0af

213242031 has 32 divisors (see below), whose sum is σ = 328669440. Its totient is φ = 136533600.

The previous prime is 213242027. The next prime is 213242077. The reversal of 213242031 is 130242312.

213242031 is a `hidden beast` number, since 213 + 2 + 420 + 31 = 666.

It is not a de Polignac number, because 213242031 - 22 = 213242027 is a prime.

It is a super-2 number, since 2×2132420312 = 90944327570009922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213241995 and 213242013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213242011) 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, 69316 + ... + 72326.

It is an arithmetic number, because the mean of its divisors is an integer number (10270920).

Almost surely, 2213242031 is an apocalyptic number.

213242031 is a deficient number, since it is larger than the sum of its proper divisors (115427409).

213242031 is a wasteful number, since it uses less digits than its factorization.

213242031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 213242031 is about 14602.8090105979. The cubic root of 213242031 is about 597.4353784795.

Adding to 213242031 its reverse (130242312), we get a palindrome (343484343).

The spelling of 213242031 in words is "two hundred thirteen million, two hundred forty-two thousand, thirty-one".

Divisors: 1 3 9 27 43 61 129 183 387 549 1161 1647 2623 3011 7869 9033 23607 27099 70821 81297 129473 183671 388419 551013 1165257 1653039 3495771 4959117 7897853 23693559 71080677 213242031