Search a number
-
+
1003011210221 = 26933829110221
BaseRepresentation
bin11101001100010000010…
…00000111101111101101
310112212221120112202100112
432212020020013233231
5112413131332211341
62044435455105405
7132315360421406
oct16461010075755
93485846482315
101003011210221
11357413752789
12142482512265
13737780a6737
143679032a9ad
151b155cc1aeb
hexe988207bed

1003011210221 has 8 divisors (see below), whose sum is σ = 1006778770200. Its totient is φ = 999243938880.

The previous prime is 1003011210139. The next prime is 1003011210269. The reversal of 1003011210221 is 1220121103001.

1003011210221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2038974025 + 1000972236196 = 45155^2 + 1000486^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1003011210221 - 218 = 1003010948077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003011210196 and 1003011210205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003011110221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9044891 + ... + 9155111.

It is an arithmetic number, because the mean of its divisors is an integer number (125847346275).

Almost surely, 21003011210221 is an apocalyptic number.

It is an amenable number.

1003011210221 is a deficient number, since it is larger than the sum of its proper divisors (3767559979).

1003011210221 is a wasteful number, since it uses less digits than its factorization.

1003011210221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144319.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1003011210221 its reverse (1220121103001), we get a palindrome (2223132313222).

The spelling of 1003011210221 in words is "one trillion, three billion, eleven million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 269 33829 110221 9100001 29649449 3728666209 1003011210221