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213104034 = 23411139199
BaseRepresentation
bin11001011001110…
…11010110100010
3112211222210210000
430230323112202
5414023312114
633051320430
75165232363
oct1454732642
9484883700
10213104034
11aa323240
125b450116
13351c4980
1420433b6a
1513a96e09
hexcb3b5a2

213104034 has 80 divisors (see below), whose sum is σ = 561052800. Its totient is φ = 59603040.

The previous prime is 213104033. The next prime is 213104083. The reversal of 213104034 is 430401312.

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

It is a junction number, because it is equal to n+sod(n) for n = 213103998 and 213104016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213104033) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18567 + ... + 27765.

It is an arithmetic number, because the mean of its divisors is an integer number (7013160).

Almost surely, 2213104034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213104034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280526400).

213104034 is an abundant number, since it is smaller than the sum of its proper divisors (347948766).

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

213104034 is a wasteful number, since it uses less digits than its factorization.

213104034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9237 (or 9228 counting only the distinct ones).

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

The square root of 213104034 is about 14598.0832303423. The cubic root of 213104034 is about 597.3064763111.

Adding to 213104034 its reverse (430401312), we get a palindrome (643505346).

The spelling of 213104034 in words is "two hundred thirteen million, one hundred four thousand, thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 286 297 351 429 594 702 858 891 1053 1287 1782 2106 2574 3861 7722 9199 11583 18398 23166 27597 55194 82791 101189 119587 165582 202378 239174 248373 303567 358761 496746 607134 717522 745119 910701 1076283 1315457 1490238 1821402 2152566 2630914 2732103 3228849 3946371 5464206 6457698 7892742 8196309 9686547 11839113 16392618 19373094 23678226 35517339 71034678 106552017 213104034