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133020030301032 = 233741116316605203
BaseRepresentation
bin11110001111101100100011…
…101001110111001101101000
3122102222120221121211021200010
4132033230203221313031220
5114413400010224113112
61150524320332211520
740006244232543630
oct3617544351671550
9572876847737603
10133020030301032
11394255293095a6
1212b0420b009ba0
13592b972b3ba04
1424bc2bd3c76c0
15105a25254163c
hex78fb23a77368

133020030301032 has 128 divisors (see below), whose sum is σ = 389661702312960. Its totient is φ = 37046869870080.

The previous prime is 133020030301007. The next prime is 133020030301079. The reversal of 133020030301032 is 230103030020331.

It is a super-2 number, since 2×1330200303010322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 291858 + ... + 16313345.

It is an arithmetic number, because the mean of its divisors is an integer number (3044232049320).

Almost surely, 2133020030301032 is an apocalyptic number.

133020030301032 is a gapful number since it is divisible by the number (12) 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 133020030301032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194830851156480).

133020030301032 is an abundant number, since it is smaller than the sum of its proper divisors (256641672011928).

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

133020030301032 is a wasteful number, since it uses less digits than its factorization.

133020030301032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16606423 (or 16606419 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 133020030301032 its reverse (230103030020331), we get a palindrome (363123060321363).

The spelling of 133020030301032 in words is "one hundred thirty-three trillion, twenty billion, thirty million, three hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 861 984 1148 1163 1722 2296 2326 3444 3489 4652 6888 6978 8141 9304 13956 16282 24423 27912 32564 47683 48846 65128 95366 97692 143049 190732 195384 286098 333781 381464 572196 667562 1001343 1144392 1335124 2002686 2670248 4005372 8010744 16605203 33210406 49815609 66420812 99631218 116236421 132841624 199262436 232472842 348709263 398524872 464945684 680813323 697418526 929891368 1361626646 1394837052 2042439969 2723253292 2789674104 4084879938 4765693261 5446506584 8169759876 9531386522 14297079783 16339519752 19062773044 19311851089 28594159566 38125546088 38623702178 57188319132 57935553267 77247404356 114376638264 115871106534 135182957623 154494808712 231742213068 270365915246 405548872869 463484426136 540731830492 791785894649 811097745738 1081463660984 1583571789298 1622195491476 2375357683947 3167143578596 3244390982952 4750715367894 5542501262543 6334287157192 9501430735788 11085002525086 16627503787629 19002861471576 22170005050172 33255007575258 44340010100344 66510015150516 133020030301032