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30311323020320 = 2551132540965981
BaseRepresentation
bin1101110010001011001111…
…01001000010110000100000
310222022201211012212211001012
412321011213221002300200
512433110042143122240
6144244455104000052
76245630561402606
oct671054751026040
9128281735784035
1030311323020320
119726a616a3091
123496654900028
1313bb465093384
1476b10c245876
15378701581b65
hex1b9167a42c20

30311323020320 has 96 divisors (see below), whose sum is σ = 72248160101040. Its totient is φ = 12016577413120.

The previous prime is 30311323020287. The next prime is 30311323020361. The reversal of 30311323020320 is 2302032311303.

It can be written as a sum of positive squares in 8 ways, for example, as 2706933116176 + 27604389904144 = 1645276^2 + 5253988^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459361730 + ... + 459427710.

Almost surely, 230311323020320 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 30311323020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36124080050520).

30311323020320 is an abundant number, since it is smaller than the sum of its proper divisors (41936837080720).

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

30311323020320 is a wasteful number, since it uses less digits than its factorization.

30311323020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91518 (or 91510 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 30311323020320 its reverse (2302032311303), we get a palindrome (32613355331623).

The spelling of 30311323020320 in words is "thirty trillion, three hundred eleven billion, three hundred twenty-three million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4520 9040 18080 25409 50818 65981 101636 127045 131962 203272 254090 263924 329905 406544 508180 527848 659810 813088 1016360 1055696 1319620 2032720 2111392 2639240 2871217 4065440 5278480 5742434 7455853 10556960 11484868 14356085 14911706 22969736 28712170 29823412 37279265 45939472 57424340 59646824 74558530 91878944 114848680 119293648 149117060 229697360 238587296 298234120 459394720 596468240 1192936480 1676511229 3353022458 6706044916 8382556145 13412089832 16765112290 26824179664 33530224580 53648359328 67060449160 134120898320 189445768877 268241796640 378891537754 757783075508 947228844385 1515566151016 1894457688770 3031132302032 3788915377540 6062264604064 7577830755080 15155661510160 30311323020320