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101010201202008 = 23327247609170413
BaseRepresentation
bin10110111101111001000101…
…001010010100110101011000
3111020122110222121002201011100
4112331321011022110311120
5101214422343001431013
6554455240144231400
730163513643525100
oct2675710512246530
9436573877081140
10101010201202008
112a20420528012a
12b3b455400b560
1344492b49b7397
141ad2cc3dd4200
15ba27918d9473
hex5bde45294d58

101010201202008 has 144 divisors (see below), whose sum is σ = 325004599277280. Its totient is φ = 28246013663616.

The previous prime is 101010201202003. The next prime is 101010201202013. The reversal of 101010201202008 is 800202102010101.

It is an interprime number because it is at equal distance from previous prime (101010201202003) and next prime (101010201202013).

It is a super-4 number, since 4×1010102012020084 (a number of 57 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010201202003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 304419391 + ... + 304751022.

It is an arithmetic number, because the mean of its divisors is an integer number (2256976383870).

Almost surely, 2101010201202008 is an apocalyptic number.

101010201202008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101010201202008 is an abundant number, since it is smaller than the sum of its proper divisors (223994398075272).

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

101010201202008 is a wasteful number, since it uses less digits than its factorization.

101010201202008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609170486 (or 609170472 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101010201202008 its reverse (800202102010101), we get a palindrome (901212303212109).

The spelling of 101010201202008 in words is "one hundred one trillion, ten billion, two hundred one million, two hundred two thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 47 49 56 63 72 84 94 98 126 141 147 168 188 196 252 282 294 329 376 392 423 441 504 564 588 658 846 882 987 1128 1176 1316 1692 1764 1974 2303 2632 2961 3384 3528 3948 4606 5922 6909 7896 9212 11844 13818 18424 20727 23688 27636 41454 55272 82908 165816 609170413 1218340826 1827511239 2436681652 3655022478 4264192891 4873363304 5482533717 7310044956 8528385782 10965067434 12792578673 14620089912 17056771564 21930134868 25585157346 28631009411 29849350237 34113543128 38377736019 43860269736 51170314692 57262018822 59698700474 76755472038 85893028233 89548050711 102340629384 114524037644 119397400948 153510944076 171786056466 179096101422 200417065877 229048075288 238794801896 257679084699 268644152133 307021888152 343572112932 358192202844 400834131754 515358169398 537288304266 601251197631 687144225864 716384405688 801668263508 1030716338796 1074576608532 1202502395262 1402919461139 1603336527016 1803753592893 2061432677592 2149153217064 2405004790524 2805838922278 3607507185786 4208758383417 4810009581048 5611677844556 7215014371572 8417516766834 11223355689112 12626275150251 14430028743144 16835033533668 25252550300502 33670067067336 50505100601004 101010201202008