Search a number
-
+
313221102320 = 2457797080043
BaseRepresentation
bin1001000111011010110…
…11101011101011110000
31002221110220202121120102
410203231123223223300
520112434100233240
6355520343131532
731425624304220
oct4435533535360
91087426677512
10313221102320
11110922168145
1250855143ba8
13236c8c65989
1411234dc4080
158233237815
hex48ed6ebaf0

313221102320 has 80 divisors (see below), whose sum is σ = 842808437760. Its totient is φ = 106030708992.

The previous prime is 313221102209. The next prime is 313221102323. The reversal of 313221102320 is 23201122313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 313221102292 and 313221102301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313221102323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3495782 + ... + 3584261.

It is an arithmetic number, because the mean of its divisors is an integer number (10535105472).

Almost surely, 2313221102320 is an apocalyptic number.

It is an amenable number.

313221102320 is an abundant number, since it is smaller than the sum of its proper divisors (529587335440).

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

313221102320 is a wasteful number, since it uses less digits than its factorization.

313221102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7080142 (or 7080136 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 313221102320 its reverse (23201122313), we get a palindrome (336422224633).

The spelling of 313221102320 in words is "three hundred thirteen billion, two hundred twenty-one million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 79 80 112 140 158 280 316 395 553 560 632 790 1106 1264 1580 2212 2765 3160 4424 5530 6320 8848 11060 22120 44240 7080043 14160086 28320172 35400215 49560301 56640344 70800430 99120602 113280688 141600860 198241204 247801505 283201720 396482408 495603010 559323397 566403440 792964816 991206020 1118646794 1982412040 2237293588 2796616985 3915263779 3964824080 4474587176 5593233970 7830527558 8949174352 11186467940 15661055116 19576318895 22372935880 31322110232 39152637790 44745871760 62644220464 78305275580 156610551160 313221102320