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30132223104 = 2731729159167
BaseRepresentation
bin11100000100000001…
…010011110010000000
32212202222002112101010
4130010001103302000
5443202322114404
621501554040520
72114463445644
oct340401236200
985688075333
1030132223104
1111862944225
125a0b279140
132ac28ab719
14165bc26c24
15bb5546189
hex704053c80

30132223104 has 128 divisors (see below), whose sum is σ = 87669734400. Its totient is φ = 9127215104.

The previous prime is 30132223021. The next prime is 30132223181. The reversal of 30132223104 is 40132223103.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109729 + ... + 268895.

It is an arithmetic number, because the mean of its divisors is an integer number (684919800).

Almost surely, 230132223104 is an apocalyptic number.

30132223104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30132223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43834867200).

30132223104 is an abundant number, since it is smaller than the sum of its proper divisors (57537511296).

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

30132223104 is a wasteful number, since it uses less digits than its factorization.

30132223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159230 (or 159218 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 30132223104 its reverse (40132223103), we get a palindrome (70264446207).

Subtracting 30132223104 from its reverse (40132223103), we obtain a palindrome (9999999999).

The spelling of 30132223104 in words is "thirty billion, one hundred thirty-two million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 128 136 174 192 204 232 272 348 384 408 464 493 544 696 816 928 986 1088 1392 1479 1632 1856 1972 2176 2784 2958 3264 3712 3944 5568 5916 6528 7888 11136 11832 15776 23664 31552 47328 63104 94656 159167 189312 318334 477501 636668 955002 1273336 1910004 2546672 2705839 3820008 4615843 5093344 5411678 7640016 8117517 9231686 10186688 10823356 13847529 15280032 16235034 18463372 20373376 21646712 27695058 30560064 32470068 36926744 43293424 55390116 61120128 64940136 73853488 78469331 86586848 110780232 129880272 147706976 156938662 173173696 221560464 235407993 259760544 295413952 313877324 346347392 443120928 470815986 519521088 590827904 627754648 886241856 941631972 1039042176 1255509296 1772483712 1883263944 2511018592 3766527888 5022037184 7533055776 10044074368 15066111552 30132223104