Search a number
-
+
1323032042120 = 235371697526777
BaseRepresentation
bin10011010000001010110…
…110101101101010001000
311200110222101012102100012
4103100022312231222020
5133134032200321440
62451443104131052
7164404652543255
oct23201266555210
94613871172305
101323032042120
11470105107348
121944b4906a88
13979b89c4c29
144806c41842c
1524635e63e65
hex1340adada88

1323032042120 has 64 divisors (see below), whose sum is σ = 3059084130480. Its totient is φ = 514605367296.

The previous prime is 1323032042117. The next prime is 1323032042179. The reversal of 1323032042120 is 212402303231.

It can be written as a sum of positive squares in 8 ways, for example, as 1322872626244 + 159415876 = 1150162^2 + 12626^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2248172 + ... + 2774948.

Almost surely, 21323032042120 is an apocalyptic number.

1323032042120 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 1323032042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529542065240).

1323032042120 is an abundant number, since it is smaller than the sum of its proper divisors (1736052088360).

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

1323032042120 is a wasteful number, since it uses less digits than its factorization.

1323032042120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528522 (or 528518 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 1323032042120 its reverse (212402303231), we get a palindrome (1535434345351).

The spelling of 1323032042120 in words is "one trillion, three hundred twenty-three billion, thirty-two million, forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 1697 3394 6788 8485 13576 16970 33940 62789 67880 125578 251156 313945 502312 526777 627890 1053554 1255780 2107108 2511560 2633885 4214216 5267770 10535540 19490749 21071080 38981498 77962996 97453745 155925992 194907490 389814980 779629960 893940569 1787881138 3575762276 4469702845 7151524552 8939405690 17878811380 33075801053 35757622760 66151602106 132303204212 165379005265 264606408424 330758010530 661516021060 1323032042120