Search a number
-
+
1003212100220 = 2251113733285073
BaseRepresentation
bin11101001100101000001…
…10011101001001111100
310112220110120120000121212
432212110012131021330
5112414034244201340
62044511432543552
7132323350103501
oct16462406351174
93486416500555
101003212100220
11357507093380
12142519851bb8
13737aa8b2b65
14367acca14a8
151b168754a65
hexe99419d27c

1003212100220 has 48 divisors (see below), whose sum is σ = 2315043466848. Its totient is φ = 362141583360.

The previous prime is 1003212100217. The next prime is 1003212100259. The reversal of 1003212100220 is 220012123001.

It is a happy number.

1003212100220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1003212100195 and 1003212100204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16612397 + ... + 16672676.

It is an arithmetic number, because the mean of its divisors is an integer number (48230072226).

Almost surely, 21003212100220 is an apocalyptic number.

1003212100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003212100220 is an abundant number, since it is smaller than the sum of its proper divisors (1311831366628).

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

1003212100220 is a wasteful number, since it uses less digits than its factorization.

1003212100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33285230 (or 33285228 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1003212100220 its reverse (220012123001), we get a palindrome (1223224223221).

The spelling of 1003212100220 in words is "one trillion, three billion, two hundred twelve million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 137 220 274 548 685 1370 1507 2740 3014 6028 7535 15070 30140 33285073 66570146 133140292 166425365 332850730 366135803 665701460 732271606 1464543212 1830679015 3661358030 4560055001 7322716060 9120110002 18240220004 22800275005 45600550010 50160605011 91201100020 100321210022 200642420044 250803025055 501606050110 1003212100220