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113535530052021 = 327113121569245023
BaseRepresentation
bin11001110100001010001100…
…111100000010100110110101
3112212222220001022002102102100
4121310022030330002212311
5104340131231143131041
61041245300310532313
732625446163226650
oct3164121474024665
9485886038072370
10113535530052021
11331a3169938320
1210897b43367099
134b4747bc1a73c
142007212b02897
15d1d4bde1c6b6
hex67428cf029b5

113535530052021 has 96 divisors (see below), whose sum is σ = 211068456468480. Its totient is φ = 57074052556800.

The previous prime is 113535530051989. The next prime is 113535530052037. The reversal of 113535530052021 is 120250035535311.

113535530052021 is a `hidden beast` number, since 1 + 1 + 3 + 53 + 5 + 530 + 0 + 52 + 0 + 21 = 666.

It is not a de Polignac number, because 113535530052021 - 25 = 113535530051989 is a prime.

It is a super-2 number, since 2×1135355300520212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113535530052071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 463244316 + ... + 463489338.

It is an arithmetic number, because the mean of its divisors is an integer number (2198629754880).

Almost surely, 2113535530052021 is an apocalyptic number.

113535530052021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113535530052021 is a deficient number, since it is larger than the sum of its proper divisors (97532926416459).

113535530052021 is a wasteful number, since it uses less digits than its factorization.

113535530052021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266647 (or 266644 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

Adding to 113535530052021 its reverse (120250035535311), we get a palindrome (233785565587332).

The spelling of 113535530052021 in words is "one hundred thirteen trillion, five hundred thirty-five billion, five hundred thirty million, fifty-two thousand, twenty-one".

Divisors: 1 3 7 9 11 21 31 33 63 77 93 99 217 231 279 341 651 693 1023 1953 2387 3069 7161 21483 21569 64707 150983 194121 237259 245023 452949 668639 711777 735069 1358847 1660813 1715161 2005917 2135331 2205207 2695253 4680473 4982439 5145483 6017751 7355029 7595713 8085759 14041419 14947317 15436449 18866771 22065087 22787139 24257277 42124257 51485203 53169991 56600313 66195261 68361417 83552843 154455609 159509973 169800939 250658529 463366827 478529919 584869901 751975587 1754609703 5263829109 5284901087 15854703261 36994307609 47564109783 58133911957 110982922827 163831933697 174401735871 332948768481 406937383699 491495801091 523205207613 1146823535879 1220812151097 1474487403273 1802151270667 3440470607637 3662436453291 5406453812001 10321411822911 12615058894669 16219361436003 37845176684007 113535530052021