Search a number
-
+
1003220322101 = 79193229287327
BaseRepresentation
bin11101001100101001001…
…01110100011100110101
310112220111011000201220222
432212110211310130311
5112414043400301401
62044512325104125
7132323510016134
oct16462445643465
93486434021828
101003220322101
11357510799618
12142520558045
13737ac50128a
14367b000191b
151b16932ac1b
hexe994974735

1003220322101 has 16 divisors (see below), whose sum is σ = 1025646028800. Its totient is φ = 981082672128.

The previous prime is 1003220322089. The next prime is 1003220322109. The reversal of 1003220322101 is 1012230223001.

It is a cyclic number.

It is not a de Polignac number, because 1003220322101 - 26 = 1003220322037 is a prime.

It is a super-3 number, since 3×10032203221013 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1003220322101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003220322109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3347900 + ... + 3635226.

It is an arithmetic number, because the mean of its divisors is an integer number (64102876800).

Almost surely, 21003220322101 is an apocalyptic number.

It is an amenable number.

1003220322101 is a deficient number, since it is larger than the sum of its proper divisors (22425706699).

1003220322101 is a wasteful number, since it uses less digits than its factorization.

1003220322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287828.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1003220322101 its reverse (1012230223001), we get a palindrome (2015450545102).

The spelling of 1003220322101 in words is "one trillion, three billion, two hundred twenty million, three hundred twenty-two thousand, one hundred one".

Divisors: 1 79 193 229 15247 18091 44197 287327 3491563 22698833 55454111 65797883 4380874769 5198032757 12698991419 1003220322101