Search a number
-
+
2141232102 = 232421282559
BaseRepresentation
bin111111110100000…
…1001101111100110
312112020002212020200
41333220021233212
513341123411402
6552250011330
7104030113122
oct17750115746
95466085220
102141232102
119a9740409
124b9116b46
132817c6459
14164540582
15c7eae21c
hex7fa09be6

2141232102 has 24 divisors (see below), whose sum is σ = 4650372480. Its totient is φ = 712046160.

The previous prime is 2141232089. The next prime is 2141232109. The reversal of 2141232102 is 2012321412.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141232109) 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 11 ways as a sum of consecutive naturals, for example, 133702 + ... + 148857.

It is an arithmetic number, because the mean of its divisors is an integer number (193765520).

Almost surely, 22141232102 is an apocalyptic number.

2141232102 is an abundant number, since it is smaller than the sum of its proper divisors (2509140378).

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

2141232102 is a wasteful number, since it uses less digits than its factorization.

2141232102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282988 (or 282985 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2141232102 is about 46273.4492122643. The cubic root of 2141232102 is about 1288.9060095818.

Adding to 2141232102 its reverse (2012321412), we get a palindrome (4153553514).

It can be divided in two parts, 214123 and 2102, that added together give a square (216225 = 4652).

The spelling of 2141232102 in words is "two billion, one hundred forty-one million, two hundred thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 421 842 1263 2526 3789 7578 282559 565118 847677 1695354 2543031 5086062 118957339 237914678 356872017 713744034 1070616051 2141232102