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30125921136 = 243171131572081
BaseRepresentation
bin11100000011101001…
…010001001101110000
32212202112020100200220
4130003221101031300
5443144213434021
621501211013040
72114356050603
oct340351211560
985675210626
1030125921136
111185a32a493
125a0913a180
132ac14b314c
14165b06633a
15bb4bedcc6
hex703a51370

30125921136 has 160 divisors (see below), whose sum is σ = 83702196288. Its totient is φ = 9303490560.

The previous prime is 30125921129. The next prime is 30125921173. The reversal of 30125921136 is 63112952103.

It is a super-2 number, since 2×301259211362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30125921097 and 30125921106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14475616 + ... + 14477696.

Almost surely, 230125921136 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 30125921136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41851098144).

30125921136 is an abundant number, since it is smaller than the sum of its proper divisors (53576275152).

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

30125921136 is a wasteful number, since it uses less digits than its factorization.

30125921136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 30125921136 in words is "thirty billion, one hundred twenty-five million, nine hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 113 136 157 204 226 272 314 339 408 452 471 628 678 816 904 942 1256 1356 1808 1884 1921 2081 2512 2669 2712 3768 3842 4162 5338 5424 5763 6243 7536 7684 8007 8324 10676 11526 12486 15368 16014 16648 17741 21352 23052 24972 30736 32028 33296 35377 35482 42704 46104 49944 53223 64056 70754 70964 92208 99888 106131 106446 128112 141508 141928 212262 212892 235153 283016 283856 301597 326717 424524 425784 470306 566032 603194 653434 705459 849048 851568 904791 940612 980151 1206388 1306868 1410918 1698096 1809582 1881224 1960302 2412776 2613736 2821836 3619164 3762448 3920604 3997601 4825552 5227472 5554189 5643672 7238328 7841208 7995202 11108378 11287344 11992803 14476656 15682416 15990404 16662567 22216756 23985606 31980808 33325134 36919021 44433512 47971212 63961616 66650268 73838042 88867024 95942424 110757063 133300536 147676084 191884848 221514126 266601072 295352168 443028252 590704336 627623357 886056504 1255246714 1772113008 1882870071 2510493428 3765740142 5020986856 7531480284 10041973712 15062960568 30125921136