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323223101212113 = 33612239555715773
BaseRepresentation
bin100100101111110000011111…
…0001000011000010111010001
31120101102211022122222012222000
41021133200332020120113101
5314331141402402241423
63103234350503104213
7125040045523003524
oct11137407610302721
91511384278865860
10323223101212113
1193a97169252a73
1230302976742069
1310b47a6657319b
1459b611db84bbb
152757b94511843
hex125f83e2185d1

323223101212113 has 64 divisors (see below), whose sum is σ = 487034894438400. Its totient is φ = 211803358913280.

The previous prime is 323223101212001. The next prime is 323223101212139. The reversal of 323223101212113 is 311212101322323.

323223101212113 is a `hidden beast` number, since 3 + 2 + 3 + 22 + 310 + 1 + 212 + 113 = 666.

It is not a de Polignac number, because 323223101212113 - 210 = 323223101211089 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (323223101212153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20492168695 + ... + 20492184467.

It is an arithmetic number, because the mean of its divisors is an integer number (7609920225600).

Almost surely, 2323223101212113 is an apocalyptic number.

It is an amenable number.

323223101212113 is a deficient number, since it is larger than the sum of its proper divisors (163811793226287).

323223101212113 is a wasteful number, since it uses less digits than its factorization.

323223101212113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23639 (or 23633 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 323223101212113 its reverse (311212101322323), we get a palindrome (634435202534436).

The spelling of 323223101212113 in words is "three hundred twenty-three trillion, two hundred twenty-three billion, one hundred one million, two hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 9 27 61 183 549 1647 2239 5557 6717 15773 16671 20151 47319 50013 60453 136579 141957 150039 338977 409737 425871 962153 1016931 1229211 2886459 3050793 3687633 8659377 9152379 12442123 25978131 35315747 37326369 87650561 105947241 111979107 262951683 317841723 335937321 758969503 788855049 953525169 2154260567 2276908509 2366565147 5346684221 6462781701 6830725527 16040052663 19388345103 20492176581 48120157989 58165035309 144360473967 196249606079 588748818237 1766246454711 5298739364133 11971225970819 35913677912457 107741033737371 323223101212113