Search a number
-
+
211012131204 = 2232710327532953
BaseRepresentation
bin1100010010000101001…
…1011001100110000100
3202011122210112220121200
43010201103121212010
511424123101144304
6240534310142500
721150035343540
oct3044123314604
9664583486550
10211012131204
1181542935386
1234a8b651a30
1316b8a903444
14a2da82ca20
15575010ce39
hex31214d9984

211012131204 has 144 divisors (see below), whose sum is σ = 615941044992. Its totient is φ = 59661950976.

The previous prime is 211012131193. The next prime is 211012131241. The reversal of 211012131204 is 402131210112.

It is a super-2 number, since 2×2110121312042 (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 71455392 + ... + 71458344.

It is an arithmetic number, because the mean of its divisors is an integer number (4277368368).

Almost surely, 2211012131204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211012131204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307970522496).

211012131204 is an abundant number, since it is smaller than the sum of its proper divisors (404928913788).

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

211012131204 is a wasteful number, since it uses less digits than its factorization.

211012131204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826 (or 5821 counting only the distinct ones).

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

Adding to 211012131204 its reverse (402131210112), we get a palindrome (613143341316).

The spelling of 211012131204 in words is "two hundred eleven billion, twelve million, one hundred thirty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 103 126 206 252 309 412 618 721 927 1236 1442 1854 2163 2753 2884 2953 3708 4326 5506 5906 6489 8259 8652 8859 11012 11812 12978 16518 17718 19271 20671 24777 25956 26577 33036 35436 38542 41342 49554 53154 57813 62013 77084 82684 99108 106308 115626 124026 173439 186039 231252 248052 283559 304159 346878 372078 567118 608318 693756 744156 850677 912477 1134236 1216636 1701354 1824954 1984913 2129113 2552031 2737431 3402708 3649908 3969826 4258226 5104062 5474862 5954739 6387339 7939652 8129609 8516452 10208124 10949724 11909478 12774678 16259218 17864217 19162017 23818956 24388827 25549356 32518436 35728434 38324034 48777654 56907263 71456868 73166481 76648068 97555308 113814526 146332962 170721789 227629052 292665924 341443578 512165367 682887156 837349727 1024330734 1674699454 2048661468 2512049181 3349398908 5024098362 5861448089 7536147543 10048196724 11722896178 15072295086 17584344267 23445792356 30144590172 35168688534 52753032801 70337377068 105506065602 211012131204