Search a number
-
+
1005251433222 = 235321114981839
BaseRepresentation
bin11101010000011011010…
…01111001001100000110
310120002201200220212120210
432220031221321030012
5112432223331330342
62045450042540250
7132425032124661
oct16501551711406
93502650825523
101005251433222
11358363255453
121429a8807686
1373a4424c28a
1436923a786d8
151b2377d679c
hexea0da79306

1005251433222 has 32 divisors (see below), whose sum is σ = 2058145251840. Its totient is φ = 327203341920.

The previous prime is 1005251433209. The next prime is 1005251433223. The reversal of 1005251433222 is 2223341525001.

It is a self number, because there is not a number n which added to its sum of digits gives 1005251433222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005251433223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7423822 + ... + 7558017.

It is an arithmetic number, because the mean of its divisors is an integer number (64317039120).

Almost surely, 21005251433222 is an apocalyptic number.

1005251433222 is an abundant number, since it is smaller than the sum of its proper divisors (1052893818618).

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

1005251433222 is a wasteful number, since it uses less digits than its factorization.

1005251433222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14982108.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 1005251433222 its reverse (2223341525001), we get a palindrome (3228592958223).

The spelling of 1005251433222 in words is "one trillion, five billion, two hundred fifty-one million, four hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 53 106 159 211 318 422 633 1266 11183 22366 33549 67098 14981839 29963678 44945517 89891034 794037467 1588074934 2382112401 3161168029 4764224802 6322336058 9483504087 18967008174 167541905537 335083811074 502625716611 1005251433222