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460101213 = 3211131312729
BaseRepresentation
bin11011011011001…
…001011001011101
31012001202120012200
4123123021121131
51420241214323
6113353322113
714254536645
oct3333113135
91161676180
10460101213
11216795940
1210a106339
1374425650
144516b525
152a5d6443
hex1b6c965d

460101213 has 48 divisors (see below), whose sum is σ = 787026240. Its totient is φ = 255340800.

The previous prime is 460101203. The next prime is 460101227. The reversal of 460101213 is 312101064.

It is a happy number.

It is not a de Polignac number, because 460101213 - 26 = 460101149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460101203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167233 + ... + 169961.

It is an arithmetic number, because the mean of its divisors is an integer number (16396380).

Almost surely, 2460101213 is an apocalyptic number.

It is an amenable number.

460101213 is a deficient number, since it is larger than the sum of its proper divisors (326925027).

460101213 is a wasteful number, since it uses less digits than its factorization.

460101213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 460101213 is about 21449.9699999790. The cubic root of 460101213 is about 772.0008753021. Note that the first 3 decimals are identical.

Adding to 460101213 its reverse (312101064), we get a palindrome (772202277).

It can be divided in two parts, 4601012 and 13, that added together give a square (4601025 = 21452).

The spelling of 460101213 in words is "four hundred sixty million, one hundred one thousand, two hundred thirteen".

Divisors: 1 3 9 11 13 33 39 99 117 131 143 393 429 1179 1287 1441 1703 2729 4323 5109 8187 12969 15327 18733 24561 30019 35477 56199 90057 106431 168597 270171 319293 357499 390247 1072497 1170741 3217491 3512223 3932489 4647487 11797467 13942461 35392401 41827383 51122357 153367071 460101213