Search a number
-
+
1002223010331 = 33675211063379
BaseRepresentation
bin11101001010110010010…
…01011000001000011011
310112210220122102001101000
432211121021120020123
5112410023042312311
62044225341200043
7132260010012504
oct16453111301033
93483818361330
101002223010331
11357049841514
121422a2560023
13736809c587a
1436717793bab
151b10b9cb056
hexe95925821b

1002223010331 has 32 divisors (see below), whose sum is σ = 1509829459200. Its totient is φ = 656912393280.

The previous prime is 1002223010323. The next prime is 1002223010333. The reversal of 1002223010331 is 1330103222001.

1002223010331 is a `hidden beast` number, since 10 + 0 + 2 + 22 + 301 + 0 + 331 = 666.

It is not a de Polignac number, because 1002223010331 - 23 = 1002223010323 is a prime.

It is a super-2 number, since 2×10022230103312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002223010333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410800 + ... + 1474178.

It is an arithmetic number, because the mean of its divisors is an integer number (47182170600).

Almost surely, 21002223010331 is an apocalyptic number.

1002223010331 is a deficient number, since it is larger than the sum of its proper divisors (507606448869).

1002223010331 is a wasteful number, since it uses less digits than its factorization.

1002223010331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063976 (or 1063970 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1002223010331 its reverse (1330103222001), we get a palindrome (2332326232332).

The spelling of 1002223010331 in words is "one trillion, two billion, two hundred twenty-three million, ten thousand, three hundred thirty-one".

Divisors: 1 3 9 27 67 201 521 603 1563 1809 4689 14067 34907 104721 314163 942489 1063379 3190137 9570411 28711233 71246393 213739179 554020459 641217537 1662061377 1923652611 4986184131 14958552393 37119370753 111358112259 334074336777 1002223010331