Search a number
-
+
1320234023400 = 233527130991409
BaseRepresentation
bin10011001101100100000…
…101000111100111101000
311200012202101020100020020
4103031210011013213220
5133112314402222100
62450301313000440
7164245426016265
oct23154405074750
94605671210206
101320234023400
114699a9762486
12193a53853120
139766110c756
1447c8498c26c
15245204bb5a0
hex133641479e8

1320234023400 has 96 divisors (see below), whose sum is σ = 4150369627200. Its totient is φ = 347103769600.

The previous prime is 1320234023363. The next prime is 1320234023401. The reversal of 1320234023400 is 43204320231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1320234023401) 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 23 ways as a sum of consecutive naturals, for example, 15453105 + ... + 15538304.

It is an arithmetic number, because the mean of its divisors is an integer number (43233016950).

Almost surely, 21320234023400 is an apocalyptic number.

1320234023400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320234023400 is an abundant number, since it is smaller than the sum of its proper divisors (2830135603800).

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

1320234023400 is a wasteful number, since it uses less digits than its factorization.

1320234023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30991499 (or 30991490 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 1320234023400 its reverse (43204320231), we get a palindrome (1363438343631).

The spelling of 1320234023400 in words is "one trillion, three hundred twenty billion, two hundred thirty-four million, twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 71 75 100 120 142 150 200 213 284 300 355 426 568 600 710 852 1065 1420 1704 1775 2130 2840 3550 4260 5325 7100 8520 10650 14200 21300 42600 30991409 61982818 92974227 123965636 154957045 185948454 247931272 309914090 371896908 464871135 619828180 743793816 774785225 929742270 1239656360 1549570450 1859484540 2200390039 2324355675 3099140900 3718969080 4400780078 4648711350 6198281800 6601170117 8801560156 9297422700 11001950195 13202340234 17603120312 18594845400 22003900390 26404680468 33005850585 44007800780 52809360936 55009750975 66011701170 88015601560 110019501950 132023402340 165029252925 220039003900 264046804680 330058505850 440078007800 660117011700 1320234023400