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1032123012030 = 2325112813710137
BaseRepresentation
bin11110000010011110101…
…00110101001110111110
310122200002102112111212100
433001033110311032332
5113402241442341110
62110052322045530
7134365653564225
oct17011724651676
93580072474770
101032123012030
113687a2595320
12148047aa98a6
1376437447b76
1437d5280bcbc
151bcab950bc0
hexf04f5353be

1032123012030 has 96 divisors (see below), whose sum is σ = 2937895036128. Its totient is φ = 249321139200.

The previous prime is 1032123011999. The next prime is 1032123012049. The reversal of 1032123012030 is 302103212301.

1032123012030 is a `hidden beast` number, since 10 + 321 + 2 + 301 + 2 + 0 + 30 = 666.

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 = 1032123011994 and 1032123012012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1576879 + ... + 2133258.

It is an arithmetic number, because the mean of its divisors is an integer number (30603073293).

Almost surely, 21032123012030 is an apocalyptic number.

1032123012030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1032123012030 is an abundant number, since it is smaller than the sum of its proper divisors (1905772024098).

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

1032123012030 is a wasteful number, since it uses less digits than its factorization.

1032123012030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710442 (or 3710439 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1032123012030 its reverse (302103212301), we get a palindrome (1334226224331).

The spelling of 1032123012030 in words is "one trillion, thirty-two billion, one hundred twenty-three million, twelve thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 281 330 495 562 843 990 1405 1686 2529 2810 3091 4215 5058 6182 8430 9273 12645 15455 18546 25290 27819 30910 46365 55638 92730 139095 278190 3710137 7420274 11130411 18550685 22260822 33391233 37101370 40811507 55652055 66782466 81623014 111304110 122434521 166956165 204057535 244869042 333912330 367303563 408115070 612172605 734607126 1042548497 1224345210 1836517815 2085096994 3127645491 3673035630 5212742485 6255290982 9382936473 10425484970 11468033467 15638227455 18765872946 22936066934 31276454910 34404100401 46914682365 57340167335 68808200802 93829364730 103212301203 114680334670 172020502005 206424602406 344041004010 516061506015 1032123012030