Search a number
-
+
1113321322032 = 243832271231049
BaseRepresentation
bin10000001100110111000…
…111110011011000110000
310221102200021111001011020
4100030313013303120300
5121220040224301112
62211241443415440
7143302066045053
oct20146707633060
93842607431136
101113321322032
1139a17a953447
1215b929084580
1380ca7901b4a
143bc56796a9a
151de6022448c
hex103371f3630

1113321322032 has 80 divisors (see below), whose sum is σ = 2923556630400. Its totient is φ = 365020504576.

The previous prime is 1113321322021. The next prime is 1113321322097. The reversal of 1113321322032 is 2302231233111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1113321321993 and 1113321322011.

It is an unprimeable number.

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, 288844 + ... + 1519892.

It is an arithmetic number, because the mean of its divisors is an integer number (36544457880).

Almost surely, 21113321322032 is an apocalyptic number.

1113321322032 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 1113321322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461778315200).

1113321322032 is an abundant number, since it is smaller than the sum of its proper divisors (1810235308368).

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

1113321322032 is a wasteful number, since it uses less digits than its factorization.

1113321322032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231370 (or 1231364 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1113321322032 its reverse (2302231233111), we get a palindrome (3415552555143).

The spelling of 1113321322032 in words is "one trillion, one hundred thirteen billion, three hundred twenty-one million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 227 249 332 454 498 664 681 908 996 1328 1362 1816 1992 2724 3632 3984 5448 10896 18841 37682 56523 75364 113046 150728 226092 301456 452184 904368 1231049 2462098 3693147 4924196 7386294 9848392 14772588 19696784 29545176 59090352 102177067 204354134 279448123 306531201 408708268 558896246 613062402 817416536 838344369 1117792492 1226124804 1634833072 1676688738 2235584984 2452249608 3353377476 4471169968 4904499216 6706754952 13413509904 23194194209 46388388418 69582582627 92776776836 139165165254 185553553672 278330330508 371107107344 556660661016 1113321322032