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30540100248 = 2333722885497
BaseRepresentation
bin11100011100010101…
…001111001010011000
32220211101120211122000
4130130111033022120
51000021231201443
622010244201000
72130545366100
oct343425171230
986741524560
1030540100248
1111a520aa379
125b03999160
132b5924a548
14169a07c200
15bdb2638d3
hex71c54f298

30540100248 has 96 divisors (see below), whose sum is σ = 98684031600. Its totient is φ = 8725739904.

The previous prime is 30540100237. The next prime is 30540100259. The reversal of 30540100248 is 84200104503.

It is an interprime number because it is at equal distance from previous prime (30540100237) and next prime (30540100259).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1432165 + ... + 1453332.

Almost surely, 230540100248 is an apocalyptic number.

It is an amenable number.

30540100248 is an abundant number, since it is smaller than the sum of its proper divisors (68143931352).

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

30540100248 is a wasteful number, since it uses less digits than its factorization.

30540100248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885526 (or 2885509 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 30540100248 in words is "thirty billion, five hundred forty million, one hundred thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 2885497 5770994 8656491 11541988 17312982 20198479 23083976 25969473 34625964 40396958 51938946 60595437 69251928 77908419 80793916 103877892 121190874 141389353 155816838 161587832 181786311 207755784 242381748 282778706 311633676 363572622 424168059 484763496 545358933 565557412 623267352 727145244 848336118 1090717866 1131114824 1272504177 1454290488 1696672236 2181435732 2545008354 3393344472 3817512531 4362871464 5090016708 7635025062 10180033416 15270050124 30540100248