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30003135232 = 287314191289
BaseRepresentation
bin11011111100010100…
…111000001100000000
32212102222012012002211
4123330110320030000
5442421300311412
621441103151504
72111335304320
oct337424701400
985388165084
1030003135232
11117a6a95634
125993ba5594
132aa1c22175
141648a23280
15ba9047ca7
hex6fc538300

30003135232 has 144 divisors (see below), whose sum is σ = 70876108800. Its totient is φ = 12404367360.

The previous prime is 30003135191. The next prime is 30003135241. The reversal of 30003135232 is 23253130003.

It is a happy number.

It is a super-3 number, since 3×300031352323 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23275644 + ... + 23276932.

It is an arithmetic number, because the mean of its divisors is an integer number (492195200).

Almost surely, 230003135232 is an apocalyptic number.

30003135232 is a gapful number since it is divisible by the number (32) 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 30003135232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35438054400).

30003135232 is an abundant number, since it is smaller than the sum of its proper divisors (40872973568).

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

30003135232 is a wasteful number, since it uses less digits than its factorization.

30003135232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 22.

Adding to 30003135232 its reverse (23253130003), we get a palindrome (53256265235).

The spelling of 30003135232 in words is "thirty billion, three million, one hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 419 434 448 496 838 868 896 992 1289 1676 1736 1792 1984 2578 2933 3352 3472 3968 5156 5866 6704 6944 7936 9023 10312 11732 12989 13408 13888 18046 20624 23464 25978 26816 27776 36092 39959 41248 46928 51956 53632 55552 72184 79918 82496 90923 93856 103912 107264 144368 159836 164992 181846 187712 207824 279713 288736 319672 329984 363692 375424 415648 540091 559426 577472 639344 727384 750848 831296 1080182 1118852 1154944 1278688 1454768 1662592 2160364 2237704 2309888 2557376 2909536 3325184 3780637 4320728 4475408 5114752 5819072 7561274 8641456 8950816 10229504 11638144 15122548 16742821 17282912 17901632 23276288 30245096 33485642 34565824 35803264 60490192 66971284 69131648 71606528 117199747 120980384 133942568 138263296 234399494 241960768 267885136 468798988 483921536 535770272 937597976 967843072 1071540544 1875195952 2143081088 3750391904 4286162176 7500783808 15001567616 30003135232