Search a number
-
+
1323031553400 = 2335216671322767
BaseRepresentation
bin10011010000001010110…
…100110110010101111000
311200110222100021120221110
4103100022310312111320
5133134032034202100
62451443045440320
7164404645436364
oct23201264662570
94613870246843
101323031553400
11470104903147
121944b47100a0
13979b888364b
144806c32c2a4
1524635db9250
hex1340ad36578

1323031553400 has 96 divisors (see below), whose sum is σ = 4103861264640. Its totient is φ = 352596504960.

The previous prime is 1323031553359. The next prime is 1323031553413. The reversal of 1323031553400 is 43551303231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 338817 + ... + 1661583.

It is an arithmetic number, because the mean of its divisors is an integer number (42748554840).

Almost surely, 21323031553400 is an apocalyptic number.

1323031553400 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 1323031553400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051930632320).

1323031553400 is an abundant number, since it is smaller than the sum of its proper divisors (2780829711240).

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

1323031553400 is a wasteful number, since it uses less digits than its factorization.

1323031553400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324453 (or 1324444 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 1323031553400 its reverse (43551303231), we get a palindrome (1366582856631).

The spelling of 1323031553400 in words is "one trillion, three hundred twenty-three billion, thirty-one million, five hundred fifty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1667 3334 5001 6668 8335 10002 13336 16670 20004 25005 33340 40008 41675 50010 66680 83350 100020 125025 166700 200040 250050 333400 500100 1000200 1322767 2645534 3968301 5291068 6613835 7936602 10582136 13227670 15873204 19841505 26455340 31746408 33069175 39683010 52910680 66138350 79366020 99207525 132276700 158732040 198415050 264553400 396830100 793660200 2205052589 4410105178 6615157767 8820210356 11025262945 13230315534 17640420712 22050525890 26460631068 33075788835 44101051780 52921262136 55126314725 66151577670 88202103560 110252629450 132303155340 165378944175 220505258900 264606310680 330757888350 441010517800 661515776700 1323031553400