Search a number
-
+
10003201120 = 255115683637
BaseRepresentation
bin10010101000011110…
…01011110001100000
3221211010210021020101
421110033023301200
5130441304413440
64332335152144
7502613543443
oct112417136140
927733707211
1010003201120
114273601070
121b32075654
13c3556b523
146ac75765a
153d82e169a
hex2543cbc60

10003201120 has 48 divisors (see below), whose sum is σ = 25780981968. Its totient is φ = 3637527040.

The previous prime is 10003201099. The next prime is 10003201133. The reversal of 10003201120 is 2110230001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10003201097 and 10003201106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2840059 + ... + 2843578.

It is an arithmetic number, because the mean of its divisors is an integer number (537103791).

Almost surely, 210003201120 is an apocalyptic number.

10003201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003201120 is an abundant number, since it is smaller than the sum of its proper divisors (15777780848).

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

10003201120 is a wasteful number, since it uses less digits than its factorization.

10003201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5683663 (or 5683655 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10003201120 its reverse (2110230001), we get a palindrome (12113431121).

The spelling of 10003201120 in words is "ten billion, three million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 5683637 11367274 22734548 28418185 45469096 56836370 62520007 90938192 113672740 125040014 181876384 227345480 250080028 312600035 454690960 500160056 625200070 909381920 1000320112 1250400140 2000640224 2500800280 5001600560 10003201120