Search a number
-
+
312210002300 = 225272255124977
BaseRepresentation
bin1001000101100010010…
…10101001000101111100
31002211212110012102002112
410202301022221011330
520103401230033200
6355232143513152
731361566142600
oct4426112510574
91084773172075
10312210002300
11110453452799
12506125b87b8
1323597640341
141117a9c7500
1581c45b2535
hex48b12a917c

312210002300 has 108 divisors (see below), whose sum is σ = 788447754864. Its totient is φ = 106997184000.

The previous prime is 312210002287. The next prime is 312210002339. The reversal of 312210002300 is 3200012213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 12487412 + ... + 12512388.

Almost surely, 2312210002300 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 312210002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394223877432).

312210002300 is an abundant number, since it is smaller than the sum of its proper divisors (476237752564).

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

312210002300 is a wasteful number, since it uses less digits than its factorization.

312210002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27556 (or 27542 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 312210002300 its reverse (3200012213), we get a palindrome (315410014513).

The spelling of 312210002300 in words is "three hundred twelve billion, two hundred ten million, two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 2551 4900 5102 10204 12755 17857 24977 25510 35714 49954 51020 63775 71428 89285 99908 124885 124999 127550 174839 178570 249770 249998 255100 349678 357140 446425 499540 499996 624425 624995 699356 874195 892850 1223873 1248850 1249990 1748390 1785700 2447746 2497700 2499980 3124975 3496780 4370975 4895492 6119365 6249950 8741950 12238730 12499900 17483900 24477460 30596825 61193650 63716327 122387300 127432654 254865308 318581635 446014289 637163270 892028578 1274326540 1592908175 1784057156 2230071445 3122100023 3185816350 4460142890 6244200046 6371632700 8920285780 11150357225 12488400092 15610500115 22300714450 31221000230 44601428900 62442000460 78052500575 156105001150 312210002300