Search a number
-
+
1100331033032 = 2372112039125149
BaseRepresentation
bin10000000000110000110…
…101110010000111001000
310220012010221221222200102
4100000300311302013020
5121011434221024112
62201252440424532
7142332141314300
oct20006065620710
93805127858612
101100331033032
11394714201010
12159302778148
137c9b75502ca
143b383438600
151d94ea8ebc2
hex10030d721c8

1100331033032 has 96 divisors (see below), whose sum is σ = 2619439560000. Its totient is φ = 428486728320.

The previous prime is 1100331033019. The next prime is 1100331033037. The reversal of 1100331033032 is 2303301330011.

It is a super-2 number, since 2×11003310330322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100331032995 and 1100331033013.

It is not an unprimeable number, because it can be changed into a prime (1100331033037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8729594 + ... + 8854742.

It is an arithmetic number, because the mean of its divisors is an integer number (27285828750).

Almost surely, 21100331033032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100331033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309719780000).

1100331033032 is an abundant number, since it is smaller than the sum of its proper divisors (1519108526968).

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

1100331033032 is a wasteful number, since it uses less digits than its factorization.

1100331033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127219 (or 127208 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1100331033032 its reverse (2303301330011), we get a palindrome (3403632363043).

The spelling of 1100331033032 in words is "one trillion, one hundred billion, three hundred thirty-one million, thirty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 1078 2039 2156 4078 4312 8156 14273 16312 22429 28546 44858 57092 89716 99911 114184 125149 157003 179432 199822 250298 314006 399644 500596 628012 799288 876043 1001192 1099021 1256024 1376639 1752086 2198042 2753278 3504172 4396084 5506556 6132301 7008344 8792168 9636473 11013112 12264602 19272946 24529204 38545892 49058408 67455311 77091784 134910622 255178811 269821244 510357622 539642488 1020715244 1786251677 2041430488 2806966921 3572503354 5613933842 7145006708 11227867684 12503761739 14290013416 19648768447 22455735368 25007523478 39297536894 50015046956 78595073788 100030093912 137541379129 157190147576 275082758258 550165516516 1100331033032