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213124104 = 233217174121
BaseRepresentation
bin11001011010000…
…00010000001000
3112212000211022100
430231000100020
5414024432404
633051553400
75165345034
oct1455002010
9485024270
10213124104
11aa337326
125b45b860
1335200b4b
142043b1c4
1513a9cd39
hexcb40408

213124104 has 48 divisors (see below), whose sum is σ = 611168220. Its totient is φ = 66862080.

The previous prime is 213124099. The next prime is 213124111. The reversal of 213124104 is 401421312.

213124104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 213101604 + 22500 = 14598^2 + 150^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85837 + ... + 88284.

Almost surely, 2213124104 is an apocalyptic number.

213124104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213124104 is an abundant number, since it is smaller than the sum of its proper divisors (398044116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213124104 is a wasteful number, since it uses less digits than its factorization.

213124104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174150 (or 174143 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 213124104 is about 14598.7706331732. The cubic root of 213124104 is about 597.3252270349.

Adding to 213124104 its reverse (401421312), we get a palindrome (614545416).

The spelling of 213124104 in words is "two hundred thirteen million, one hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 174121 348242 522363 696484 1044726 1392968 1567089 2089452 2960057 3134178 4178904 5920114 6268356 8880171 11840228 12536712 17760342 23680456 26640513 35520684 53281026 71041368 106562052 213124104