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323212230220113 = 3213431034261146381
BaseRepresentation
bin100100101111101011011011…
…0001010110101100101010001
31120101101210021001021121102200
41021133112312022311211101
5314331002121414020423
63103225352044033413
7125036212241050353
oct11137266612654521
91511353231247380
10323212230220113
1193a9259a919863
1230300841b32869
1310b46a232a7940
1459b57ac0970d3
152757759e56d43
hex125f5b62b5951

323212230220113 has 96 divisors (see below), whose sum is σ = 519587298117888. Its totient is φ = 192341633702400.

The previous prime is 323212230220091. The next prime is 323212230220147. The reversal of 323212230220113 is 311022032212323.

323212230220113 is a `hidden beast` number, since 3 + 2 + 3 + 212 + 230 + 2 + 201 + 13 = 666.

It is not a de Polignac number, because 323212230220113 - 225 = 323212196665681 is a prime.

It is a super-2 number, since 2×3232122302201132 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (323212230220813) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2207947183 + ... + 2208093563.

It is an arithmetic number, because the mean of its divisors is an integer number (5412367688728).

Almost surely, 2323212230220113 is an apocalyptic number.

It is an amenable number.

323212230220113 is a deficient number, since it is larger than the sum of its proper divisors (196375067897775).

323212230220113 is a wasteful number, since it uses less digits than its factorization.

323212230220113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150807 (or 150804 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 323212230220113 its reverse (311022032212323), we get a palindrome (634234262432436).

The spelling of 323212230220113 in words is "three hundred twenty-three trillion, two hundred twelve billion, two hundred thirty million, two hundred twenty thousand, one hundred thirteen".

Divisors: 1 3 9 13 39 43 103 117 129 309 387 559 927 1339 1677 4017 4261 4429 5031 12051 12783 13287 38349 39861 55393 57577 146381 166179 172731 183223 438883 439143 498537 518193 549669 1316649 1317429 1649007 1902953 2381899 3949947 5705479 5708859 6294383 7145697 15077243 17116437 17126577 18871969 18883149 21437091 45231729 51349311 56615907 56649447 81826979 135695187 169847721 196004159 245335597 245480937 588012477 623729441 648321449 736006791 736442811 1764037431 1871188323 1944964347 2208020373 5613564969 5834893041 8108482733 8428178837 24325448199 25284536511 26820365963 64244132423 72976344597 75853609533 80461097889 192732397269 241383293667 348664757519 578197191807 835173721499 1045994272557 2505521164497 2762497694189 3137982817671 7516563493491 8287493082567 24862479247701 35912470024457 107737410073371 323212230220113