Search a number
-
+
1308211212 = 2237211257787
BaseRepresentation
bin100110111111001…
…1011100000001100
310101011122000102010
41031332123200030
510134400224322
6333451301220
744263416600
oct11576334014
93334560363
101308211212
116114a64a0
1230614a810
1317b051599
14c5a5b500
1579cb320c
hex4df9b80c

1308211212 has 144 divisors (see below), whose sum is σ = 3893678208. Its totient is φ = 338042880.

The previous prime is 1308211187. The next prime is 1308211213. The reversal of 1308211212 is 2121128031.

It is a super-2 number, since 2×13082112122 = 3422833150405017888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1308211213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1661883 + ... + 1662669.

It is an arithmetic number, because the mean of its divisors is an integer number (27039432).

Almost surely, 21308211212 is an apocalyptic number.

1308211212 is a gapful number since it is divisible by the number (12) 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 1308211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946839104).

1308211212 is an abundant number, since it is smaller than the sum of its proper divisors (2585466996).

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

1308211212 is a wasteful number, since it uses less digits than its factorization.

1308211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1308211212 is about 36169.2025347532. The cubic root of 1308211212 is about 1093.6859230728.

Adding to 1308211212 its reverse (2121128031), we get a palindrome (3429339243).

The spelling of 1308211212 in words is "one billion, three hundred eight million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 257 294 308 462 514 539 588 771 787 924 1028 1078 1542 1574 1617 1799 2156 2361 2827 3084 3148 3234 3598 4722 5397 5509 5654 6468 7196 8481 8657 9444 10794 11018 11308 12593 16527 16962 17314 19789 21588 22036 25186 25971 33054 33924 34628 37779 38563 39578 50372 51942 59367 60599 66108 75558 77126 79156 103884 115689 118734 121198 138523 151116 154252 181797 202259 231378 237468 242396 277046 363594 404518 415569 424193 462756 554092 606777 727188 809036 831138 848386 1213554 1272579 1415813 1662276 1696772 2224849 2427108 2545158 2831626 4247439 4449698 5090316 5663252 6674547 8494878 8899396 9910691 13349094 15573943 16989756 19821382 26698188 29732073 31147886 39642764 46721829 59464146 62295772 93443658 109017601 118928292 186887316 218035202 327052803 436070404 654105606 1308211212