Search a number
-
+
1230311022000 = 243532948714519
BaseRepresentation
bin10001111001110100010…
…000000101110110110000
311100121122111020120022220
4101321310100011312300
5130124134110201000
62341110323001040
7154613153065404
oct21716420056660
94317574216286
101230311022000
114348545525a5
1217a538809180
138c030239698
1443793db5104
152200ac9e1a0
hex11e74405db0

1230311022000 has 320 divisors, whose sum is σ = 4112008243200. Its totient is φ = 316097510400.

The previous prime is 1230311021987. The next prime is 1230311022037. The reversal of 1230311022000 is 2201130321.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84730741 + ... + 84745259.

It is an arithmetic number, because the mean of its divisors is an integer number (12850025760).

Almost surely, 21230311022000 is an apocalyptic number.

1230311022000 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 1230311022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056004121600).

1230311022000 is an abundant number, since it is smaller than the sum of its proper divisors (2881697221200).

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

1230311022000 is a wasteful number, since it uses less digits than its factorization.

1230311022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15061 (or 15045 counting only the distinct ones).

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

Adding to 1230311022000 its reverse (2201130321), we get a palindrome (1232512152321).

The spelling of 1230311022000 in words is "one trillion, two hundred thirty billion, three hundred eleven million, twenty-two thousand".