Search a number
-
+
3123305000 = 23544373199
BaseRepresentation
bin1011101000101001…
…1101101000101000
322001200001022222222
42322022131220220
522344031230000
61233531133212
7140253440324
oct27212355050
98050038888
103123305000
11136302a302
12731ba4208
133aa0c788a
14218b42984
151342eda85
hexba29da28

3123305000 has 160 divisors (see below), whose sum is σ = 7628808000. Its totient is φ = 1197504000.

The previous prime is 3123304979. The next prime is 3123305021. The reversal of 3123305000 is 5033213.

It is an interprime number because it is at equal distance from previous prime (3123304979) and next prime (3123305021).

It is a self number, because there is not a number n which added to its sum of digits gives 3123305000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15694901 + ... + 15695099.

It is an arithmetic number, because the mean of its divisors is an integer number (47680050).

Almost surely, 23123305000 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 3123305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3814404000).

3123305000 is an abundant number, since it is smaller than the sum of its proper divisors (4505503000).

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

3123305000 is a wasteful number, since it uses less digits than its factorization.

3123305000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 3123305000 is about 55886.5368402802. The cubic root of 3123305000 is about 1461.7444900974.

Adding to 3123305000 its reverse (5033213), we get a palindrome (3128338213).

The spelling of 3123305000 in words is "three billion, one hundred twenty-three million, three hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 73 86 100 125 146 172 199 200 215 250 292 344 365 398 430 500 584 625 730 796 860 995 1000 1075 1250 1460 1592 1720 1825 1990 2150 2500 2920 3139 3650 3980 4300 4975 5000 5375 6278 7300 7960 8557 8600 9125 9950 10750 12556 14527 14600 15695 17114 18250 19900 21500 24875 25112 26875 29054 31390 34228 36500 39800 42785 43000 45625 49750 53750 58108 62780 68456 72635 73000 78475 85570 91250 99500 107500 116216 124375 125560 145270 156950 171140 182500 199000 213925 215000 248750 290540 313900 342280 363175 365000 392375 427850 497500 581080 624661 627800 726350 784750 855700 995000 1069625 1249322 1452700 1569500 1711400 1815875 1961875 2139250 2498644 2905400 3123305 3139000 3631750 3923750 4278500 4997288 5348125 6246610 7263500 7847500 8557000 9079375 10696250 12493220 14527000 15616525 15695000 18158750 21392500 24986440 31233050 36317500 42785000 62466100 72635000 78082625 124932200 156165250 312330500 390413125 624661000 780826250 1561652500 3123305000