Search a number
-
+
121032002322 = 23271127938607
BaseRepresentation
bin111000010111000010…
…0011100101100010010
3102120101221001202112200
41300232010130230102
53440333143033242
6131333515504030
711513200021350
oct1605604345422
9376357052480
10121032002322
1147369456800
121b559458016
13b54ac4aa2a
145c024247d0
1532358a904c
hex1c2e11cb12

121032002322 has 72 divisors (see below), whose sum is σ = 329420477568. Its totient is φ = 31436879760.

The previous prime is 121032002303. The next prime is 121032002327. The reversal of 121032002322 is 223200230121.

121032002322 is a `hidden beast` number, since 1 + 21 + 0 + 320 + 0 + 2 + 322 = 666.

121032002322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1210320023222 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 121032002295 and 121032002304.

It is not an unprimeable number, because it can be changed into a prime (121032002327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3954058 + ... + 3984549.

Almost surely, 2121032002322 is an apocalyptic number.

121032002322 is an abundant number, since it is smaller than the sum of its proper divisors (208388475246).

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

121032002322 is a wasteful number, since it uses less digits than its factorization.

121032002322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7938644 (or 7938630 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 121032002322 its reverse (223200230121), we get a palindrome (344232232443).

The spelling of 121032002322 in words is "one hundred twenty-one billion, thirty-two million, two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 847 1089 1386 1694 2178 2541 5082 7623 15246 7938607 15877214 23815821 47631642 55570249 71447463 87324677 111140498 142894926 166710747 174649354 261974031 333421494 500132241 523948062 611272739 785922093 960571447 1000264482 1222545478 1571844186 1833818217 1921142894 2881714341 3667636434 5501454651 5763428682 6724000129 8645143023 11002909302 13448000258 17290286046 20172000387 40344000774 60516001161 121032002322