Search a number
-
+
1103131310232 = 233737317559831
BaseRepresentation
bin10000000011010111101…
…111111111100010011000
310220110101010011210211210
4100003113233333202120
5121033203103411412
62202434352223120
7142461423265620
oct20032757774230
93813333153753
101103131310232
11395920958796
1215996453aaa0
1380042746773
143b56b2d1880
151da6583183c
hex100d7bff898

1103131310232 has 128 divisors (see below), whose sum is σ = 3247204746240. Its totient is φ = 305694051840.

The previous prime is 1103131310221. The next prime is 1103131310249. The reversal of 1103131310232 is 2320131313011.

It is a happy number.

It is a super-2 number, since 2×11031313102322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1103131310199 and 1103131310208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1690557 + ... + 2250387.

It is an arithmetic number, because the mean of its divisors is an integer number (25368787080).

Almost surely, 21103131310232 is an apocalyptic number.

1103131310232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103131310232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623602373120).

1103131310232 is an abundant number, since it is smaller than the sum of its proper divisors (2144073436008).

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

1103131310232 is a wasteful number, since it uses less digits than its factorization.

1103131310232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560201 (or 560197 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1103131310232 its reverse (2320131313011), we get a palindrome (3423262623243).

The spelling of 1103131310232 in words is "one trillion, one hundred three billion, one hundred thirty-one million, three hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 317 444 518 634 777 888 951 1036 1268 1554 1902 2072 2219 2536 3108 3804 4438 6216 6657 7608 8876 11729 13314 17752 23458 26628 35187 46916 53256 70374 82103 93832 140748 164206 246309 281496 328412 492618 559831 656824 985236 1119662 1679493 1970472 2239324 3358986 3918817 4478648 6717972 7837634 11756451 13435944 15675268 20713747 23512902 31350536 41427494 47025804 62141241 82854988 94051608 124282482 144996229 165709976 177466427 248564964 289992458 354932854 434988687 497129928 532399281 579984916 709865708 869977374 1064798562 1159969832 1242264989 1419731416 1739954748 2129597124 2484529978 3479909496 3726794967 4259194248 4969059956 6566257799 7453589934 9938119912 13132515598 14907179868 19698773397 26265031196 29814359736 39397546794 45963804593 52530062392 78795093588 91927609186 137891413779 157590187176 183855218372 275782827558 367710436744 551565655116 1103131310232