Search a number
-
+
2100321432 = 2332114171911
BaseRepresentation
bin111110100110000…
…0101110010011000
312102101010101100200
41331030011302120
513300140241212
6544225102200
7103022303046
oct17514056230
95371111320
102100321432
11988638640
124a7487960
132761a1261
1415cd31396
15c45cc6dc
hex7d305c98

2100321432 has 192 divisors, whose sum is σ = 6453457920. Its totient is φ = 611520000.

The previous prime is 2100321397. The next prime is 2100321451. The reversal of 2100321432 is 2341230012.

2100321432 is a `hidden beast` number, since 210 + 0 + 3 + 21 + 432 = 666.

It is a super-2 number, since 2×21003214322 = 8822700235437061248, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2305057 + ... + 2305967.

It is an arithmetic number, because the mean of its divisors is an integer number (33611760).

Almost surely, 22100321432 is an apocalyptic number.

2100321432 is a gapful number since it is divisible by the number (22) 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 2100321432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226728960).

2100321432 is an abundant number, since it is smaller than the sum of its proper divisors (4353136488).

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

2100321432 is a wasteful number, since it uses less digits than its factorization.

2100321432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2100321432 is about 45829.2639260113. The cubic root of 2100321432 is about 1280.6444980229.

Adding to 2100321432 its reverse (2341230012), we get a palindrome (4441551444).

The spelling of 2100321432 in words is "two billion, one hundred million, three hundred twenty-one thousand, four hundred thirty-two".