Search a number
-
+
10323130140 = 22325367156269
BaseRepresentation
bin10011001110100111…
…00111011100011100
3222122102210100100100
421213103213130130
5132120210131030
64424204301100
7513550105221
oct114723473434
928572710310
1010323130140
114418157514
122001241790
13c8692633b
146dd037948
1540643a360
hex2674e771c

10323130140 has 72 divisors (see below), whose sum is σ = 31399018560. Its totient is φ = 2745316224.

The previous prime is 10323130091. The next prime is 10323130151. The reversal of 10323130140 is 4103132301.

10323130140 is a `hidden beast` number, since 1 + 0 + 323 + 1 + 301 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 12075 + ... + 144194.

It is an arithmetic number, because the mean of its divisors is an integer number (436097480).

Almost surely, 210323130140 is an apocalyptic number.

10323130140 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 10323130140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15699509280).

10323130140 is an abundant number, since it is smaller than the sum of its proper divisors (21075888420).

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

10323130140 is a wasteful number, since it uses less digits than its factorization.

10323130140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156651 (or 156646 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10323130140 its reverse (4103132301), we get a palindrome (14426262441).

The spelling of 10323130140 in words is "ten billion, three hundred twenty-three million, one hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 367 734 1101 1468 1835 2202 3303 3670 4404 5505 6606 7340 11010 13212 16515 22020 33030 66060 156269 312538 468807 625076 781345 937614 1406421 1562690 1875228 2344035 2812842 3125380 4688070 5625684 7032105 9376140 14064210 28128420 57350723 114701446 172052169 229402892 286753615 344104338 516156507 573507230 688208676 860260845 1032313014 1147014460 1720521690 2064626028 2580782535 3441043380 5161565070 10323130140