Search a number
-
+
1102302231030 = 23257111337347953
BaseRepresentation
bin10000000010100110010…
…101010011100111110110
310220101020100010012222200
4100002212111103213312
5121030003332343110
62202220214205330
7142432035240240
oct20024625234766
93811210105880
101102302231030
11395535966270
12159772953846
137cc3ca51a60
143b4cd157090
151da17b636c0
hex100a65539f6

1102302231030 has 768 divisors, whose sum is σ = 3967585929216. Its totient is φ = 204908175360.

The previous prime is 1102302230987. The next prime is 1102302231031. The reversal of 1102302231030 is 301322032011.

1102302231030 is a `hidden beast` number, since 1 + 102 + 302 + 231 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1102302230994 and 1102302231012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102302231031) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 1156665034 + ... + 1156665986.

It is an arithmetic number, because the mean of its divisors is an integer number (5166127512).

Almost surely, 21102302231030 is an apocalyptic number.

1102302231030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102302231030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983792964608).

1102302231030 is an abundant number, since it is smaller than the sum of its proper divisors (2865283698186).

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

1102302231030 is a wasteful number, since it uses less digits than its factorization.

1102302231030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1102302231030 its reverse (301322032011), we get a palindrome (1403624263041).

The spelling of 1102302231030 in words is "one trillion, one hundred two billion, three hundred two million, two hundred thirty-one thousand, thirty".