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133030001130030 = 233523142315054041
BaseRepresentation
bin11110001111110101110101…
…111101100011101000101110
3122110000112200111200212201000
4132033311311331203220232
5114414030420242130110
61150533045553501130
740010046304312134
oct3617656575435056
9573015614625630
10133030001130030
1139429785609a44
1212b061322717a6
13592c8a1784624
1424bc987715754
15105a637a8b1c0
hex78fd75f63a2e

133030001130030 has 128 divisors (see below), whose sum is σ = 370430596362240. Its totient is φ = 33908442289920.

The previous prime is 133030001129969. The next prime is 133030001130041. The reversal of 133030001130030 is 30031100030331.

133030001130030 is a `hidden beast` number, since 1 + 3 + 30 + 300 + 0 + 1 + 1 + 300 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133030001129985 and 133030001130012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1309810 + ... + 16363850.

It is an arithmetic number, because the mean of its divisors is an integer number (2893989034080).

Almost surely, 2133030001130030 is an apocalyptic number.

133030001130030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133030001130030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185215298181120).

133030001130030 is an abundant number, since it is smaller than the sum of its proper divisors (237400595232210).

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

133030001130030 is a wasteful number, since it uses less digits than its factorization.

133030001130030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15055503 (or 15055497 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 133030001130030 its reverse (30031100030331), we get a palindrome (163061101160361).

The spelling of 133030001130030 in words is "one hundred thirty-three trillion, thirty billion, one million, one hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 1423 2070 2846 3105 4269 6210 7115 8538 12807 14230 21345 25614 32729 38421 42690 64035 65458 76842 98187 128070 163645 192105 196374 294561 327290 384210 490935 589122 883683 981870 1472805 1767366 2945610 4418415 8836830 15054041 30108082 45162123 75270205 90324246 135486369 150540410 225810615 270972738 346242943 406459107 451621230 677431845 692485886 812918214 1038728829 1354863690 1731214715 2032295535 2077457658 3116186487 3462429430 4064591070 5193644145 6232372974 9348559461 10387288290 15580932435 18697118922 21421900343 31161864870 42843800686 46742797305 64265701029 93485594610 107109501715 128531402058 192797103087 214219003430 321328505145 385594206174 492703707889 578391309261 642657010290 963985515435 985407415778 1156782618522 1478111123667 1927971030870 2463518539445 2891956546305 2956222247334 4434333371001 4927037078890 5783913092610 7390555618335 8868666742002 13303000113003 14781111236670 22171666855005 26606000226006 44343333710010 66515000565015 133030001130030