Search a number
-
+
210410011320 = 233531173326947
BaseRepresentation
bin1100001111110101101…
…0011111101010111000
3202010002211120001102020
43003331122133222320
511421404430330240
6240354440434440
721126104405145
oct3037532375270
9663084501366
10210410011320
1181263a69843
1234941a78a20
1316ac2c449a2
14a2808933cc
1557173220d0
hex30fd69fab8

210410011320 has 128 divisors (see below), whose sum is σ = 655360727040. Its totient is φ = 53985323520.

The previous prime is 210410011319. The next prime is 210410011321. The reversal of 210410011320 is 23110014012.

It is an interprime number because it is at equal distance from previous prime (210410011319) and next prime (210410011321).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210410011320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210410011321) 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 31 ways as a sum of consecutive naturals, for example, 480087 + ... + 807033.

It is an arithmetic number, because the mean of its divisors is an integer number (5120005680).

Almost surely, 2210410011320 is an apocalyptic number.

210410011320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210410011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327680363520).

210410011320 is an abundant number, since it is smaller than the sum of its proper divisors (444950715720).

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

210410011320 is a wasteful number, since it uses less digits than its factorization.

210410011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327165 (or 327161 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 210410011320 its reverse (23110014012), we get a palindrome (233520025332).

The spelling of 210410011320 in words is "two hundred ten billion, four hundred ten million, eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 173 186 248 310 346 372 465 519 620 692 744 865 930 1038 1240 1384 1730 1860 2076 2595 3460 3720 4152 5190 5363 6920 10380 10726 16089 20760 21452 26815 32178 42904 53630 64356 80445 107260 128712 160890 214520 321780 326947 643560 653894 980841 1307788 1634735 1961682 2615576 3269470 3923364 4904205 6538940 7846728 9808410 10135357 13077880 19616820 20270714 30406071 39233640 40541428 50676785 56561831 60812142 81082856 101353570 113123662 121624284 152030355 169685493 202707140 226247324 243248568 282809155 304060710 339370986 405414280 452494648 565618310 608121420 678741972 848427465 1131236620 1216242840 1357483944 1696854930 1753416761 2262473240 3393709860 3506833522 5260250283 6787419720 7013667044 8767083805 10520500566 14027334088 17534167610 21041001132 26301251415 35068335220 42082002264 52602502830 70136670440 105205005660 210410011320