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232212121002 = 233236115711951
BaseRepresentation
bin1101100001000011101…
…0111100010110101010
3211012101021001222102000
43120100322330112222
512301032300333002
6254402103351430
722530301314141
oct3302072742652
9735337058360
10232212121002
118a531763504
1239007452576
1318b88a9a9c4
14b34c240758
1560913b161c
hex3610ebc5aa

232212121002 has 128 divisors (see below), whose sum is σ = 547919216640. Its totient is φ = 72741240000.

The previous prime is 232212120983. The next prime is 232212121033. The reversal of 232212121002 is 200121212232.

232212121002 is digitally balanced in base 2, because in such base 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119021127 + ... + 119023077.

It is an arithmetic number, because the mean of its divisors is an integer number (4280618880).

Almost surely, 2232212121002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232212121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273959608320).

232212121002 is an abundant number, since it is smaller than the sum of its proper divisors (315707095638).

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

232212121002 is a wasteful number, since it uses less digits than its factorization.

232212121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 232212121002 its reverse (200121212232), we get a palindrome (432333333234).

The spelling of 232212121002 in words is "two hundred thirty-two billion, two hundred twelve million, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 23 27 46 54 61 69 122 138 183 207 366 414 549 621 1098 1242 1403 1571 1647 1951 2806 3142 3294 3902 4209 4713 5853 8418 9426 11706 12627 14139 17559 25254 28278 35118 36133 37881 42417 44873 52677 72266 75762 84834 89746 95831 105354 108399 119011 134619 191662 216798 238022 269238 287493 325197 357033 403857 574986 650394 714066 807714 862479 975591 1071099 1211571 1724958 1951182 2142198 2204113 2423142 2587437 2737253 3065021 3213297 4408226 5174874 5474506 6130042 6426594 6612339 8211759 9195063 13224678 16423518 18390126 19837017 24635277 27585189 39674034 49270554 55170378 59511051 70495483 73905831 82755567 119022102 140990966 147811662 165511134 186966281 211486449 373932562 422972898 560898843 634459347 1121797686 1268918694 1682696529 1903378041 3365393058 3806756082 4300224463 5048089587 8600448926 10096179174 12900673389 25801346778 38702020167 77404040334 116106060501 232212121002