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12233000010 = 23571114933547
BaseRepresentation
bin10110110010010010…
…01100010001001010
31011120112112210021110
423121021030101022
5200023122000020
65341511351150
7612100533030
oct133111142112
934515483243
1012233000010
115208233a70
1224549824b6
1311cc50445a
14840950550
154b8e478e0
hex2d924c44a

12233000010 has 128 divisors (see below), whose sum is σ = 36638521344. Its totient is φ = 2539503360.

The previous prime is 12233000009. The next prime is 12233000053. The reversal of 12233000010 is 1000033221.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12233000010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3447057 + ... + 3450603.

It is an arithmetic number, because the mean of its divisors is an integer number (286238448).

Almost surely, 212233000010 is an apocalyptic number.

12233000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12233000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18319260672).

12233000010 is an abundant number, since it is smaller than the sum of its proper divisors (24405521334).

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

12233000010 is a wasteful number, since it uses less digits than its factorization.

12233000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12233000010 its reverse (1000033221), we get a palindrome (13233033231).

The spelling of 12233000010 in words is "twelve billion, two hundred thirty-three million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 1493 2310 2986 3547 4479 7094 7465 8958 10451 10641 14930 16423 17735 20902 21282 22395 24829 31353 32846 35470 39017 44790 49269 49658 52255 53205 62706 74487 78034 82115 98538 104510 106410 114961 117051 124145 148974 156765 164230 195085 229922 234102 246345 248290 273119 313530 344883 372435 390170 492690 546238 574805 585255 689766 744870 819357 1149610 1170510 1365595 1638714 1724415 2731190 3448830 4096785 5295671 8193570 10591342 15887013 26478355 31774026 37069697 52956710 58252381 74139394 79435065 111209091 116504762 158870130 174757143 185348485 222418182 291261905 349514286 370696970 407766667 556045455 582523810 815533334 873785715 1112090910 1223300001 1747571430 2038833335 2446600002 4077666670 6116500005 12233000010