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133201310022 = 232113747386851
BaseRepresentation
bin111110000001101101…
…0101011000101000110
3110201211000202122101200
41330003122223011012
54140244013410042
6141105234203330
712423565311504
oct1740332530506
9421730678350
10133201310022
11515437377a0
1221994a23546
13c73a1b1711
146638715674
1536e8e1ec4c
hex1f036ab146

133201310022 has 96 divisors (see below), whose sum is σ = 330229246464. Its totient is φ = 38437416000.

The previous prime is 133201310017. The next prime is 133201310041. The reversal of 133201310022 is 220013102331.

133201310022 is a `hidden beast` number, since 1 + 332 + 0 + 1 + 310 + 0 + 22 = 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 = 133201309977 and 133201310004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150897 + ... + 537747.

It is an arithmetic number, because the mean of its divisors is an integer number (3439887984).

Almost surely, 2133201310022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133201310022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165114623232).

133201310022 is an abundant number, since it is smaller than the sum of its proper divisors (197027936442).

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

133201310022 is a wasteful number, since it uses less digits than its factorization.

133201310022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386954 (or 386951 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133201310022 its reverse (220013102331), we get a palindrome (353214412353).

The spelling of 133201310022 in words is "one hundred thirty-three billion, two hundred one million, three hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 47 66 74 94 99 111 141 198 222 282 333 407 423 517 666 814 846 1034 1221 1551 1739 2442 3102 3478 3663 4653 5217 7326 9306 10434 15651 19129 31302 38258 57387 114774 172161 344322 386851 773702 1160553 2321106 3481659 4255361 6963318 8510722 12766083 14313487 18181997 25532166 28626974 36363994 38298249 42940461 54545991 76596498 85880922 109091982 128821383 157448357 163637973 200001967 257642766 314896714 327275946 400003934 472345071 600005901 672733889 944690142 1200011802 1345467778 1417035213 1800017703 2018201667 2834070426 3600035406 4036403334 6054605001 7400072779 12109210002 14800145558 22200218337 44400436674 66600655011 133201310022