Search a number
-
+
212010020112 = 243114312597417
BaseRepresentation
bin1100010101110011001…
…0000010110100010000
3202021020100020220212010
43011130302002310100
511433144031120422
6241221314302520
721213543302622
oct3053462026420
9667210226763
10212010020112
1181a05147060
1235109887a40
1316cb9581757
14a39318ac12
1557aca23b0c
hex315cc82d10

212010020112 has 160 divisors (see below), whose sum is σ = 611945832960. Its totient is φ = 62693084160.

The previous prime is 212010020051. The next prime is 212010020113. The reversal of 212010020112 is 211020010212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (212010020113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28580628 + ... + 28588044.

It is an arithmetic number, because the mean of its divisors is an integer number (3824661456).

Almost surely, 2212010020112 is an apocalyptic number.

212010020112 is a gapful number since it is divisible by the number (22) 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 212010020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305972916480).

212010020112 is an abundant number, since it is smaller than the sum of its proper divisors (399935812848).

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

212010020112 is a wasteful number, since it uses less digits than its factorization.

212010020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8741 (or 8735 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212010020112 its reverse (211020010212), we get a palindrome (423030030324).

The spelling of 212010020112 in words is "two hundred twelve billion, ten million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 688 946 1032 1259 1419 1892 2064 2518 2838 3777 3784 5036 5676 7417 7554 7568 10072 11352 13849 14834 15108 20144 22251 22704 27698 29668 30216 41547 44502 54137 55396 59336 60432 81587 83094 89004 108274 110792 118672 162411 163174 166188 178008 216548 221584 244761 318931 324822 326348 332376 356016 433096 489522 595507 637862 649644 652696 664752 866192 956793 979044 1191014 1275724 1299288 1305392 1786521 1913586 1958088 2382028 2551448 2598576 3508241 3573042 3827172 3916176 4764056 5102896 7016482 7146084 7654344 9338003 9528112 10524723 14032964 14292168 15308688 18676006 21049446 28014009 28065928 28584336 37352012 42098892 56028018 56131856 74704024 84197784 102718033 112056036 149408048 168395568 205436066 224112072 308154099 401534129 410872132 448224144 616308198 803068258 821744264 1204602387 1232616396 1606136516 1643488528 2409204774 2465232792 3212273032 4416875419 4818409548 4930465584 6424546064 8833750838 9636819096 13250626257 17667501676 19273638192 26501252514 35335003352 53002505028 70670006704 106005010056 212010020112