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133300030011320 = 23517397499989533
BaseRepresentation
bin11110010011110001010100…
…111011111111011110111000
3122110222100200021200022202102
4132103301110323333132320
5114432441430140330240
61151301104405522532
740035416003034614
oct3623612473773670
9573870607608672
10133300030011320
11395232528a9147
1212b4a532413448
13594c1a61c0b63
1424cba821aa344
15106268de28815
hex793c54eff7b8

133300030011320 has 128 divisors (see below), whose sum is σ = 319005970920000. Its totient is φ = 49956768423936.

The previous prime is 133300030011311. The next prime is 133300030011329. The reversal of 133300030011320 is 23110030003331.

It is an interprime number because it is at equal distance from previous prime (133300030011311) and next prime (133300030011329).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 133300030011292 and 133300030011301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133300030011329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134215274 + ... + 135204806.

Almost surely, 2133300030011320 is an apocalyptic number.

133300030011320 is a gapful number since it is divisible by the number (10) 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 133300030011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159502985460000).

133300030011320 is an abundant number, since it is smaller than the sum of its proper divisors (185705940908680).

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

133300030011320 is a wasteful number, since it uses less digits than its factorization.

133300030011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990457 (or 990453 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 133300030011320 its reverse (23110030003331), we get a palindrome (156410060014651).

The spelling of 133300030011320 in words is "one hundred thirty-three trillion, three hundred billion, thirty million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 397 499 680 794 998 1588 1985 1996 2495 3176 3970 3992 4990 6749 7940 8483 9980 13498 15880 16966 19960 26996 33745 33932 42415 53992 67490 67864 84830 134980 169660 198103 269960 339320 396206 792412 989533 990515 1584824 1979066 1981030 3367751 3958132 3962060 4947665 6735502 7916264 7924120 9895330 13471004 16822061 16838755 19790660 26942008 33644122 33677510 39581320 67288244 67355020 84110305 134576488 134710040 168220610 336441220 392844601 493776967 672882440 785689202 987553934 1571378404 1964223005 1975107868 2468884835 3142756808 3928446010 3950215736 4937769670 6678358217 7856892020 8394208439 9875539340 13356716434 15713784040 16788416878 19751078680 26713432868 33391791085 33576833756 41971042195 53426865736 66783582170 67153667512 83942084390 133567164340 167884168780 196029455899 267134328680 335768337560 392058911798 784117823596 980147279495 1568235647192 1960294558990 3332500750283 3920589117980 6665001500566 7841178235960 13330003001132 16662503751415 26660006002264 33325007502830 66650015005660 133300030011320