Search a number
-
+
1110131112123 = 321159332535813
BaseRepresentation
bin10000001001111000111…
…110000111100010111011
310221010102221112120212200
4100021320332013202323
5121142022031041443
62205553122241243
7143130040521405
oct20117076074273
93833387476780
101110131112123
11398893087530
1215b1987b6223
13808b99b0487
143ba32bd9b75
151dd2510bdd3
hex10278f878bb

1110131112123 has 48 divisors (see below), whose sum is σ = 1753087605984. Its totient is φ = 671350164480.

The previous prime is 1110131112109. The next prime is 1110131112131. The reversal of 1110131112123 is 3212111310111.

It is not a de Polignac number, because 1110131112123 - 26 = 1110131112059 is a prime.

It is a super-2 number, since 2×11101311121232 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1110131112096 and 1110131112105.

It is not an unprimeable number, because it can be changed into a prime (1110131114123) 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, 190970965 + ... + 190976777.

It is an arithmetic number, because the mean of its divisors is an integer number (36522658458).

Almost surely, 21110131112123 is an apocalyptic number.

1110131112123 is a deficient number, since it is larger than the sum of its proper divisors (642956493861).

1110131112123 is a wasteful number, since it uses less digits than its factorization.

1110131112123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9676 (or 9673 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1110131112123 its reverse (3212111310111), we get a palindrome (4322242422234).

The spelling of 1110131112123 in words is "one trillion, one hundred ten billion, one hundred thirty-one million, one hundred twelve thousand, one hundred twenty-three".

Divisors: 1 3 9 11 33 99 593 1779 3253 5337 5813 6523 9759 17439 19569 29277 35783 52317 58707 63943 107349 191829 322047 575487 1929029 3447109 5787087 10341327 17361261 18909689 21219319 31023981 37918199 56729067 63657957 113754597 170187201 190973871 208006579 341263791 624019737 1872059211 11213445577 33640336731 100921010193 123347901347 370043704041 1110131112123