Search a number
-
+
331303012300 = 2252131035034919
BaseRepresentation
bin1001101001000110011…
…00101100011111001100
31011200011002001210222001
410310203030230133030
520412002032343200
6412110513202044
732635666066021
oct4644314543714
91150132053861
10331303012300
11118560a057a7
1254260860324
132531b144ab0
141206c653548
1589408c076a
hex4d2332c7cc

331303012300 has 144 divisors (see below), whose sum is σ = 783459855360. Its totient is φ = 120874210560.

The previous prime is 331303012283. The next prime is 331303012319. The reversal of 331303012300 is 3210303133.

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 47 ways as a sum of consecutive naturals, for example, 67349241 + ... + 67354159.

It is an arithmetic number, because the mean of its divisors is an integer number (5440693440).

Almost surely, 2331303012300 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 331303012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391729927680).

331303012300 is an abundant number, since it is smaller than the sum of its proper divisors (452156843060).

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

331303012300 is a wasteful number, since it uses less digits than its factorization.

331303012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 331303012300 its reverse (3210303133), we get a palindrome (334513315433).

The spelling of 331303012300 in words is "three hundred thirty-one billion, three hundred three million, twelve thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 103 130 206 260 325 412 503 515 650 1006 1030 1300 1339 2012 2060 2515 2575 2678 4919 5030 5150 5356 6539 6695 9838 10060 10300 12575 13078 13390 19676 24595 25150 26156 26780 32695 33475 49190 50300 51809 63947 65390 66950 98380 103618 122975 127894 130780 133900 163475 207236 245950 255788 259045 319735 326950 491900 506657 518090 639470 653900 673517 1013314 1036180 1278940 1295225 1347034 1598675 2026628 2474257 2533285 2590450 2694068 3197350 3367585 4948514 5066570 5180900 6394700 6586541 6735170 9897028 10133140 12371285 12666425 13173082 13470340 16837925 24742570 25332850 26346164 32165341 32932705 33675850 49485140 50665700 61856425 64330682 65865410 67351700 123712850 128661364 131730820 160826705 164663525 247425700 254848471 321653410 329327050 509696942 643306820 658654100 804133525 1019393884 1274242355 1608267050 2548484710 3216534100 3313030123 5096969420 6371211775 6626060246 12742423550 13252120492 16565150615 25484847100 33130301230 66260602460 82825753075 165651506150 331303012300