Search a number
-
+
1103332232106 = 23213311012396301
BaseRepresentation
bin10000000011100011101…
…110011100101110101010
310220110220010020200211200
4100003203232130232222
5121034111022411411
62202510330505030
7142466413142646
oct20034356345652
93813803220750
101103332232106
11395a14310325
121599bb895176
1380075264550
143b589c73c26
151da782bde56
hex100e3b9cbaa

1103332232106 has 192 divisors, whose sum is σ = 2695457157120. Its totient is φ = 323870400000.

The previous prime is 1103332232089. The next prime is 1103332232141. The reversal of 1103332232106 is 6012322333011.

1103332232106 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 332 + 2 + 321 + 0 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1103332232106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175101156 + ... + 175107456.

It is an arithmetic number, because the mean of its divisors is an integer number (14038839360).

Almost surely, 21103332232106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103332232106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347728578560).

1103332232106 is an abundant number, since it is smaller than the sum of its proper divisors (1592124925014).

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

1103332232106 is a wasteful number, since it uses less digits than its factorization.

1103332232106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6693 (or 6690 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 1103332232106 its reverse (6012322333011), we get a palindrome (7115654565117).

The spelling of 1103332232106 in words is "one trillion, one hundred three billion, three hundred thirty-two million, two hundred thirty-two thousand, one hundred six".