Search a number
-
+
323023320100 = 2252133121113797
BaseRepresentation
bin1001011001101011011…
…00001011010000100100
31010212210001100212111101
410230311230023100210
520243022432220400
6404221142445444
732223550626505
oct4546554132044
91125701325441
10323023320100
11114aa2274478
125272ba33884
13245cb994440
14118c4b80bac
158608a7856a
hex4b35b0b424

323023320100 has 144 divisors (see below), whose sum is σ = 779806089216. Its totient is φ = 115337664000.

The previous prime is 323023320097. The next prime is 323023320157. The reversal of 323023320100 is 1023320323.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85071402 + ... + 85075198.

It is an arithmetic number, because the mean of its divisors is an integer number (5415320064).

Almost surely, 2323023320100 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 323023320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389903044608).

323023320100 is an abundant number, since it is smaller than the sum of its proper divisors (456782769116).

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

323023320100 is a wasteful number, since it uses less digits than its factorization.

323023320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5966 (or 5959 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 323023320100 its reverse (1023320323), we get a palindrome (324046640423).

The spelling of 323023320100 in words is "three hundred twenty-three billion, twenty-three million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 130 155 260 310 325 403 620 650 775 806 1300 1550 1612 2015 2111 3100 3797 4030 4222 7594 8060 8444 10075 10555 15188 18985 20150 21110 27443 37970 40300 42220 49361 52775 54886 65441 75940 94925 98722 105550 109772 117707 130882 137215 189850 197444 211100 235414 246805 261764 274430 327205 379700 470828 493610 548860 588535 654410 686075 850733 987220 1177070 1234025 1308820 1372150 1530191 1636025 1701466 2354140 2468050 2744300 2942675 3060382 3272050 3402932 4253665 4936100 5885350 6120764 6544100 7650955 8015467 8507330 11770700 15301910 16030934 17014660 21268325 30603820 32061868 38254775 40077335 42536650 76509550 80154670 85073300 104201071 153019100 160309340 200386675 208402142 248479477 400773350 416804284 496958954 521005355 801546700 993917908 1042010710 1242397385 2084021420 2484794770 2605026775 3230233201 4969589540 5210053550 6211986925 6460466402 10420107100 12423973850 12920932804 16151166005 24847947700 32302332010 64604664020 80755830025 161511660050 323023320100