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1010332330020 = 2232513597318067
BaseRepresentation
bin11101011001111000111…
…11111110100000100100
310120120211210112011200200
432230330133332200210
5113023130034030040
62052050144110500
7132664656052116
oct16547437764044
93516753464620
101010332330020
1135a530296412
12143986305430
1374373a934a0
1436c867973b6
151b4338bc630
hexeb3c7fe824

1010332330020 has 144 divisors (see below), whose sum is σ = 3356358707520. Its totient is φ = 244481948928.

The previous prime is 1010332330019. The next prime is 1010332330031. The reversal of 1010332330020 is 200332330101.

1010332330020 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 332 + 330 + 0 + 2 + 0 = 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 = 1010332329975 and 1010332330002.

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, 3520974 + ... + 3797093.

It is an arithmetic number, because the mean of its divisors is an integer number (23308046580).

Almost surely, 21010332330020 is an apocalyptic number.

1010332330020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010332330020 is an abundant number, since it is smaller than the sum of its proper divisors (2346026377500).

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

1010332330020 is a wasteful number, since it uses less digits than its factorization.

1010332330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7318154 (or 7318149 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1010332330020 its reverse (200332330101), we get a palindrome (1210664660121).

The spelling of 1010332330020 in words is "one trillion, ten billion, three hundred thirty-two million, three hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 59 60 65 78 90 117 118 130 156 177 180 195 234 236 260 295 354 390 468 531 585 590 708 767 780 885 1062 1170 1180 1534 1770 2124 2301 2340 2655 3068 3540 3835 4602 5310 6903 7670 9204 10620 11505 13806 15340 23010 27612 34515 46020 69030 138060 7318067 14636134 21954201 29272268 36590335 43908402 65862603 73180670 87816804 95134871 109771005 131725206 146361340 190269742 219542010 263450412 285404613 329313015 380539484 431765953 439084020 475674355 570809226 658626030 856213839 863531906 951348710 1141618452 1295297859 1317252060 1427023065 1712427678 1727063812 1902697420 2158829765 2590595718 2854046130 3424855356 3885893577 4281069195 4317659530 5181191436 5612957389 5708092260 6476489295 7771787154 8562138390 8635319060 11225914778 12952978590 15543574308 16838872167 17124276780 19429467885 22451829556 25905957180 28064786945 33677744334 38858935770 50516616501 56129573890 67355488668 77717871540 84194360835 101033233002 112259147780 168388721670 202066466004 252583082505 336777443340 505166165010 1010332330020