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123032002211322 = 2317192411399188291
BaseRepresentation
bin11011111110010110011110…
…110010011010110111111010
3121010121202002202212002100120
4123332112132302122313322
5112111224020031230242
61113400042130514110
734625524464562011
oct3376263662326772
9533552082762316
10123032002211322
11362246408a0a16
1211970514735936
135385b39091699
142254ad0283a78
15e355286711ec
hex6fe59ec9adfa

123032002211322 has 128 divisors (see below), whose sum is σ = 275587183872000. Its totient is φ = 36388835020800.

The previous prime is 123032002211243. The next prime is 123032002211383. The reversal of 123032002211322 is 223112200230321.

It is a junction number, because it is equal to n+sod(n) for n = 123032002211292 and 123032002211301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 653319997 + ... + 653508287.

It is an arithmetic number, because the mean of its divisors is an integer number (2153024874000).

Almost surely, 2123032002211322 is an apocalyptic number.

123032002211322 is an abundant number, since it is smaller than the sum of its proper divisors (152555181660678).

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

123032002211322 is a wasteful number, since it uses less digits than its factorization.

123032002211322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189972.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 123032002211322 its reverse (223112200230321), we get a palindrome (346144202441643).

The spelling of 123032002211322 in words is "one hundred twenty-three trillion, thirty-two billion, two million, two hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 17 19 34 38 51 57 102 114 241 323 482 646 723 969 1399 1446 1938 2798 4097 4197 4579 8194 8394 9158 12291 13737 23783 24582 26581 27474 47566 53162 71349 77843 79743 142698 155686 159486 188291 233529 337159 376582 451877 467058 564873 674318 903754 1011477 1129746 1355631 2022954 2711262 3200947 3577529 5731703 6401894 6406021 7155058 9602841 10732587 11463406 12812042 17195109 19205682 19218063 21465174 34390218 38436126 45378131 60817993 90756262 108902357 121635986 136134393 182453979 217804714 263419109 272268786 326707071 364907958 526838218 653414142 771428227 790257327 862184489 1542856454 1580514654 1724368978 2314284681 2586553467 4478124853 4628569362 5004963071 5173106934 8956249706 10009926142 13434374559 14657136313 15014889213 26868749118 29314272626 30029778426 43971408939 63484005269 85084372207 87942817878 126968010538 170168744414 190452015807 255253116621 380904031614 510506233242 1079228089573 1206196100111 2158456179146 2412392200222 3237684268719 3618588300333 6475368537438 7237176600666 20505333701887 41010667403774 61516001105661 123032002211322