Search a number
-
+
313223073012 = 223383122328571
BaseRepresentation
bin1001000111011011000…
…11001100110011110100
31002221111001110201212000
410203231203030303310
520112440101314022
6355520453255300
731425650122533
oct4435543146364
91087431421760
10313223073012
11110923293813
1250855934530
13236c94a5975
141123537831a
1582334c66ac
hex48ed8cccf4

313223073012 has 96 divisors (see below), whose sum is σ = 822544450560. Its totient is φ = 103061818080.

The previous prime is 313223072977. The next prime is 313223073047. The reversal of 313223073012 is 210370322313.

313223073012 is a `hidden beast` number, since 3 + 1 + 322 + 30 + 7 + 301 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (313223072977) and next prime (313223073047).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10948687 + ... + 10977257.

It is an arithmetic number, because the mean of its divisors is an integer number (8568171360).

Almost surely, 2313223073012 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 313223073012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411272225280).

313223073012 is an abundant number, since it is smaller than the sum of its proper divisors (509321377548).

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

313223073012 is a wasteful number, since it uses less digits than its factorization.

313223073012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29890 (or 29882 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

Adding to 313223073012 its reverse (210370322313), we get a palindrome (523593395325).

The spelling of 313223073012 in words is "three hundred thirteen billion, two hundred twenty-three million, seventy-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1223 1494 2241 2446 2988 3669 4482 4892 7338 8964 11007 14676 22014 28571 33021 44028 57142 66042 85713 101509 114284 132084 171426 203018 257139 304527 342852 406036 514278 609054 771417 913581 1028556 1218108 1542834 1827162 2371393 2740743 3085668 3654324 4742786 5481486 7114179 9485572 10962972 14228358 21342537 28456716 34942333 42685074 64027611 69884666 85370148 104826999 128055222 139769332 209653998 256110444 314480997 419307996 628961994 943442991 1257923988 1886885982 2900213639 3773771964 5800427278 8700640917 11600854556 17401281834 26101922751 34802563668 52203845502 78305768253 104407691004 156611536506 313223073012