Search a number
-
+
11121311331003 = 323372421727919
BaseRepresentation
bin1010000111010110000111…
…0011111011001010111011
31110101012001022022210202210
42201311201303323022323
52424202421200043003
635353020534230203
72225326314401226
oct241654163731273
943335038283683
1011121311331003
1135a8581350465
1212b74747b5363
136289731b2a13
142a63bab0c5bd
1514445683c503
hexa1d61cfb2bb

11121311331003 has 48 divisors (see below), whose sum is σ = 15906964792320. Its totient is φ = 6898295695104.

The previous prime is 11121311330999. The next prime is 11121311331029. The reversal of 11121311331003 is 30013311312111.

It is not a de Polignac number, because 11121311331003 - 22 = 11121311330999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11121311331503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398328078 + ... + 398355996.

It is an arithmetic number, because the mean of its divisors is an integer number (331395099840).

Almost surely, 211121311331003 is an apocalyptic number.

11121311331003 is a deficient number, since it is larger than the sum of its proper divisors (4785653461317).

11121311331003 is a wasteful number, since it uses less digits than its factorization.

11121311331003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32236 (or 32199 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 11121311331003 its reverse (30013311312111), we get a palindrome (41134622643114).

The spelling of 11121311331003 in words is "eleven trillion, one hundred twenty-one billion, three hundred eleven million, three hundred thirty-one thousand, three".

Divisors: 1 3 23 37 69 111 851 1369 2553 4107 4217 12651 27919 31487 83757 94461 96991 156029 290973 468087 642137 1033003 1926411 3099009 3588667 5773073 10766001 17319219 23759069 38221111 71277207 114663333 117734423 132780679 353203269 398342037 879085553 2637256659 2707891729 4356173651 8123675187 13068520953 100191993973 161178425087 300575981919 483535275261 3707103777001 11121311331003