Search a number
-
+
322111344112340 = 2257123194915137
BaseRepresentation
bin100100100111101010110010…
…0001111100111001011010100
31120020111112200101211220100112
41021033111210033213023110
5314204433013043043330
63101023524134102152
7124563530246404256
oct11117254417471324
91506445611756315
10322111344112340
11936a87213649a2
12301634054aa958
1310a96c7aa5b353
1459783b504bcd6
152738cc67c0795
hex124f5643e72d4

322111344112340 has 36 divisors (see below), whose sum is σ = 686095246224948. Its totient is φ = 127029825807360.

The previous prime is 322111344112309. The next prime is 322111344112391. The reversal of 322111344112340 is 43211443111223.

It can be written as a sum of positive squares in 2 ways, for example, as 90662161502224 + 231449182610116 = 9521668^2 + 15213454^2 .

It is a junction number, because it is equal to n+sod(n) for n = 322111344112297 and 322111344112306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1597356749 + ... + 1597558388.

Almost surely, 2322111344112340 is an apocalyptic number.

It is an amenable number.

322111344112340 is an abundant number, since it is smaller than the sum of its proper divisors (363983902112608).

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

322111344112340 is a wasteful number, since it uses less digits than its factorization.

322111344112340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194915288 (or 3194915215 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 322111344112340 its reverse (43211443111223), we get a palindrome (365322787223563).

The spelling of 322111344112340 in words is "three hundred twenty-two trillion, one hundred eleven billion, three hundred forty-four million, one hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 1420 5041 10082 20164 25205 50410 100820 3194915137 6389830274 12779660548 15974575685 31949151370 63898302740 226838974727 453677949454 907355898908 1134194873635 2268389747270 4536779494540 16105567205617 32211134411234 64422268822468 80527836028085 161055672056170 322111344112340