Search a number
-
+
1000432055220 = 2235131282605199
BaseRepresentation
bin11101000111011100110…
…01011011001110110100
310112122021211102002211020
432203232121123032310
5112342341101231340
62043331522541140
7132164432106153
oct16435631331664
93478254362736
101000432055220
1135630a8a5424
12141a828077b0
1373456951710
14365c799359a
151b05465c9d0
hexe8ee65b3b4

1000432055220 has 48 divisors (see below), whose sum is σ = 3016687430400. Its totient is φ = 246260198016.

The previous prime is 1000432055219. The next prime is 1000432055251. The reversal of 1000432055220 is 225502340001.

It is a super-2 number, since 2×10004320552202 (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 641301820 + ... + 641303379.

It is an arithmetic number, because the mean of its divisors is an integer number (62847654800).

Almost surely, 21000432055220 is an apocalyptic number.

1000432055220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000432055220 is an abundant number, since it is smaller than the sum of its proper divisors (2016255375180).

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

1000432055220 is a wasteful number, since it uses less digits than its factorization.

1000432055220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282605224 (or 1282605222 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 1000432055220 its reverse (225502340001), we get a palindrome (1225934395221).

The spelling of 1000432055220 in words is "one trillion, four hundred thirty-two million, fifty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1282605199 2565210398 3847815597 5130420796 6413025995 7695631194 12826051990 15391262388 16673867587 19239077985 25652103980 33347735174 38478155970 50021602761 66695470348 76956311940 83369337935 100043205522 166738675870 200086411044 250108013805 333477351740 500216027610 1000432055220