Search a number
-
+
232131010200210 = 233511226393452387
BaseRepresentation
bin110100110001111100110110…
…011001111000001010010010
31010102220111201012222101211000
4310301330312121320022102
5220411213302102401320
62141411303001002430
766615624554602422
oct6461746631701222
91112814635871730
10232131010200210
1167a67232684720
1222050665783416
139c6ab25205c04
1441472b5170482
151bc83d8702c90
hexd31f36678292

232131010200210 has 128 divisors (see below), whose sum is σ = 675320235724800. Its totient is φ = 56271682272960.

The previous prime is 232131010200191. The next prime is 232131010200211. The reversal of 232131010200210 is 12002010131232.

232131010200210 is a `hidden beast` number, since 2 + 321 + 31 + 0 + 102 + 0 + 0 + 210 = 666.

232131010200210 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (232131010200211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65511637 + ... + 68964023.

It is an arithmetic number, because the mean of its divisors is an integer number (5275939341600).

Almost surely, 2232131010200210 is an apocalyptic number.

232131010200210 is an abundant number, since it is smaller than the sum of its proper divisors (443189225524590).

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

232131010200210 is a wasteful number, since it uses less digits than its factorization.

232131010200210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3475053 (or 3475047 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 232131010200210 its reverse (12002010131232), we get a palindrome (244133020331442).

The spelling of 232131010200210 in words is "two hundred thirty-two trillion, one hundred thirty-one billion, ten million, two hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 22639 45278 67917 113195 135834 203751 226390 249029 339585 407502 498058 611253 679170 747087 1018755 1222506 1245145 1494174 2037510 2241261 2490290 3056265 3452387 3735435 4482522 6112530 6723783 6904774 7470870 10357161 11206305 13447566 17261935 20714322 22412610 31071483 33618915 34523870 37976257 51785805 62142966 67237830 75952514 93214449 103571610 113928771 155357415 186428898 189881285 227857542 310714830 341786313 379762570 466072245 569643855 683572626 932144490 1025358939 1139287710 1708931565 2050717878 3417863130 5126794695 10253589390 78158589293 156317178586 234475767879 390792946465 468951535758 703427303637 781585892930 859744482223 1172378839395 1406854607274 1719488964446 2110281910911 2344757678790 2579233446669 3517136518185 4220563821822 4298722411115 5158466893338 7034273036370 7737700340007 8597444822230 10551409554555 12896167233345 15475400680014 21102819109110 23213101020021 25792334466690 38688501700035 46426202040042 77377003400070 116065505100105 232131010200210