Search a number
-
+
2003131322292 = 2231409160173999
BaseRepresentation
bin11101001001100011111…
…011100100111110110100
321002111102122222111121210
4131021203323210332310
5230304403104303132
64132120440041420
7264502314206412
oct35114373447664
97074378874553
102003131322292
11702583456651
12284278763270
13116b822081b9
146cd486bc2b2
153718cd61bcc
hex1d263ee4fb4

2003131322292 has 48 divisors (see below), whose sum is σ = 4680275040000. Its totient is φ = 666810777600.

The previous prime is 2003131322287. The next prime is 2003131322323. The reversal of 2003131322292 is 2922231313002.

It is a happy number.

It is a super-2 number, since 2×20031313222922 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27032709 + ... + 27106707.

It is an arithmetic number, because the mean of its divisors is an integer number (97505730000).

Almost surely, 22003131322292 is an apocalyptic number.

It is an amenable number.

2003131322292 is an abundant number, since it is smaller than the sum of its proper divisors (2677143717708).

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

2003131322292 is a wasteful number, since it uses less digits than its factorization.

2003131322292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77016 (or 77014 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 2003131322292 its reverse (2922231313002), we get a palindrome (4925362635294).

The spelling of 2003131322292 in words is "two trillion, three billion, one hundred thirty-one million, three hundred twenty-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 1409 1601 2818 3202 4227 4803 5636 6404 8454 9606 16908 19212 73999 147998 221997 295996 443994 887988 2255809 4511618 6767427 9023236 13534854 27069708 104264591 118472399 208529182 236944798 312793773 355417197 417058364 473889596 625587546 710834394 1251175092 1421668788 166927610191 333855220382 500782830573 667710440764 1001565661146 2003131322292