Search a number
-
+
1230032210000 = 24541133293359
BaseRepresentation
bin10001111001100011101…
…000100000100001010000
311100120221001121110011112
4101321203220200201100
5130123101221210000
62341022523032452
7154603226163416
oct21714350404120
94316831543145
101230032210000
1143472112aa60
1217a47b36b728
138bcb7549979
1443768d592b6
1521ee1578235
hex11e63a20850

1230032210000 has 200 divisors, whose sum is σ = 3250704441600. Its totient is φ = 447016960000.

The previous prime is 1230032209979. The next prime is 1230032210009. The reversal of 1230032210000 is 122300321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230032210009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 366188321 + ... + 366191679.

It is an arithmetic number, because the mean of its divisors is an integer number (16253522208).

Almost surely, 21230032210000 is an apocalyptic number.

1230032210000 is a gapful number since it is divisible by the number (10) 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 1230032210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625352220800).

1230032210000 is an abundant number, since it is smaller than the sum of its proper divisors (2020672231600).

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

1230032210000 is a wasteful number, since it uses less digits than its factorization.

1230032210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6727 (or 6706 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1230032210000 its reverse (122300321), we get a palindrome (1230154510321).

The spelling of 1230032210000 in words is "one trillion, two hundred thirty billion, thirty-two million, two hundred ten thousand".