Search a number
-
+
32121130200 = 23352192413617
BaseRepresentation
bin11101111010100100…
…011000110011011000
310001220120120110222220
4131322210120303120
51011241002131300
622431203144040
72214664046625
oct357244306330
9101816513886
1032121130200
11126935a45a5
126285375020
13304b970923
1417aa03534c
15c7ee66da0
hex77a918cd8

32121130200 has 288 divisors, whose sum is σ = 107685138960. Its totient is φ = 7914700800.

The previous prime is 32121130193. The next prime is 32121130201. The reversal of 32121130200 is 203112123.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 32121130200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32121130201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8878792 + ... + 8882408.

Almost surely, 232121130200 is an apocalyptic number.

32121130200 is a gapful number since it is divisible by the number (30) 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 32121130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53842569480).

32121130200 is an abundant number, since it is smaller than the sum of its proper divisors (75564008760).

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

32121130200 is a wasteful number, since it uses less digits than its factorization.

32121130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 32121130200 its reverse (203112123), we get a palindrome (32324242323).

The spelling of 32121130200 in words is "thirty-two billion, one hundred twenty-one million, one hundred thirty thousand, two hundred".