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110312210214 = 232173185313633
BaseRepresentation
bin110011010111100011…
…1101011111100100110
3101112201211212220021100
41212233013223330212
53301404411211324
6122402101300530
710653432213213
oct1465707537446
9345654786240
10110312210214
1142868404288
1219467404746
13a5300b158b
1454a6854b0a
152d097194c9
hex19af1ebf26

110312210214 has 96 divisors (see below), whose sum is σ = 261558146304. Its totient is φ = 33449656320.

The previous prime is 110312210213. The next prime is 110312210227. The reversal of 110312210214 is 412012213011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110312210213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8084742 + ... + 8098374.

It is an arithmetic number, because the mean of its divisors is an integer number (2724564024).

Almost surely, 2110312210214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110312210214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130779073152).

110312210214 is an abundant number, since it is smaller than the sum of its proper divisors (151245936090).

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

110312210214 is a wasteful number, since it uses less digits than its factorization.

110312210214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14542 (or 14539 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110312210214 its reverse (412012213011), we get a palindrome (522324423225).

The spelling of 110312210214 in words is "one hundred ten billion, three hundred twelve million, two hundred ten thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 853 1054 1581 1706 2559 3162 4743 5118 7677 9486 13633 14501 15354 26443 27266 29002 40899 43503 52886 79329 81798 87006 122697 130509 158658 231761 237987 245394 261018 422623 449531 463522 475974 695283 845246 899062 1267869 1348593 1390566 2085849 2535738 2697186 3803607 4045779 4171698 7184591 7607214 8091558 11628949 14369182 21553773 23257898 34886847 43107546 64661319 69773694 104660541 129322638 197692133 209321082 360497419 395384266 593076399 720994838 1081492257 1186152798 1779229197 2162984514 3244476771 3558458394 6128456123 6488953542 12256912246 18385368369 36770736738 55156105107 110312210214