Search a number
-
+
1300230233088 = 210373103181311
BaseRepresentation
bin10010111010111011110…
…000101101110000000000
311121022010021120111122120
4102322323300231300000
5132300332414424323
62433152330204240
7162636626425023
oct22727360556000
94538107514576
101300230233088
11461474084776
1218bbb0583680
13957c3a08837
1446d07d9b1ba
1523c4e2525e3
hex12ebbc2dc00

1300230233088 has 352 divisors, whose sum is σ = 3578235128832. Its totient is φ = 419630284800.

The previous prime is 1300230233083. The next prime is 1300230233089. The reversal of 1300230233088 is 8803320320031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300230233083) 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 31 ways as a sum of consecutive naturals, for example, 4180804453 + ... + 4180804763.

Almost surely, 21300230233088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300230233088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789117564416).

1300230233088 is an abundant number, since it is smaller than the sum of its proper divisors (2278004895744).

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

1300230233088 is a wasteful number, since it uses less digits than its factorization.

1300230233088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 1300230233088 in words is "one trillion, three hundred billion, two hundred thirty million, two hundred thirty-three thousand, eighty-eight".