Search a number
-
+
1003213022121 = 321731211514447
BaseRepresentation
bin11101001100101000010…
…01111110001110101001
310112220110122021212020100
432212110021332032221
5112414040013201441
62044511504420013
7132323360663322
oct16462411761651
93486418255210
101003213022121
11357507662a82
1214251a017609
13737aab4666b
14367ad061449
151b168887cb6
hexe99427e3a9

1003213022121 has 24 divisors (see below), whose sum is σ = 1583820186624. Its totient is φ = 609161604480.

The previous prime is 1003213022107. The next prime is 1003213022171. The reversal of 1003213022121 is 1212203123001.

1003213022121 is a `hidden beast` number, since 1 + 0 + 0 + 321 + 302 + 21 + 21 = 666.

It is not a de Polignac number, because 1003213022121 - 25 = 1003213022089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1003213022094 and 1003213022103.

It is not an unprimeable number, because it can be changed into a prime (1003213022171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105752481 + ... + 105761966.

It is an arithmetic number, because the mean of its divisors is an integer number (65992507776).

Almost surely, 21003213022121 is an apocalyptic number.

It is an amenable number.

1003213022121 is a deficient number, since it is larger than the sum of its proper divisors (580607164503).

1003213022121 is a wasteful number, since it uses less digits than its factorization.

1003213022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211514501 (or 211514498 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1003213022121 its reverse (1212203123001), we get a palindrome (2215416145122).

The spelling of 1003213022121 in words is "one trillion, three billion, two hundred thirteen million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 17 31 51 93 153 279 527 1581 4743 211514447 634543341 1903630023 3595745599 6556947857 10787236797 19670843571 32361710391 59012530713 111468113569 334404340707 1003213022121