Search a number
-
+
2121231000 = 233537831217
BaseRepresentation
bin111111001101111…
…0110101010011000
312110211110200220010
41332123312222120
513321013343000
6550253201520
7103365110640
oct17633665230
95424420803
102121231000
1199941a279
124b24902a0
1327a612695
14161a15520
15c635cd50
hex7e6f6a98

2121231000 has 256 divisors, whose sum is σ = 7661122560. Its totient is φ = 478617600.

The previous prime is 2121230999. The next prime is 2121231001. The reversal of 2121231000 is 1321212.

It is an interprime number because it is at equal distance from previous prime (2121230999) and next prime (2121231001).

It is a super-2 number, since 2×21212310002 = 8999241910722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121231001) 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 63 ways as a sum of consecutive naturals, for example, 1742392 + ... + 1743608.

It is an arithmetic number, because the mean of its divisors is an integer number (29926260).

Almost surely, 22121231000 is an apocalyptic number.

2121231000 is a gapful number since it is divisible by the number (20) 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 2121231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830561280).

2121231000 is an abundant number, since it is smaller than the sum of its proper divisors (5539891560).

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

2121231000 is a wasteful number, since it uses less digits than its factorization.

2121231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2121231000 is about 46056.8235986808. The cubic root of 2121231000 is about 1284.8802545030.

Adding to 2121231000 its reverse (1321212), we get a palindrome (2122552212).

The spelling of 2121231000 in words is "two billion, one hundred twenty-one million, two hundred thirty-one thousand".