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101101200122010 = 235113691745711131
BaseRepresentation
bin10110111111001101110101…
…000111101010000010011010
3111020222011212110121210220210
4112333031311013222002122
5101222420224212401020
6555005130011031550
730203214662553624
oct2677156507520232
9436864773553823
10101101200122010
112a239861847640
12b40a10b43b5b6
134454a5775908a
141ad747783bc14
15ba4d1a7d23e0
hex5bf3751ea09a

101101200122010 has 128 divisors (see below), whose sum is σ = 264832336124928. Its totient is φ = 24497254656000.

The previous prime is 101101200121991. The next prime is 101101200122011. The reversal of 101101200122010 is 10221002101101.

It is a super-2 number, since 2×1011012001220102 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101101200122011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9082844145 + ... + 9082855275.

It is an arithmetic number, because the mean of its divisors is an integer number (2069002625976).

Almost surely, 2101101200122010 is an apocalyptic number.

101101200122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101200122010 is an abundant number, since it is smaller than the sum of its proper divisors (163731136002918).

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

101101200122010 is a wasteful number, since it uses less digits than its factorization.

101101200122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22300.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101101200122010 its reverse (10221002101101), we get a palindrome (111322202223111).

The spelling of 101101200122010 in words is "one hundred one trillion, one hundred one billion, two hundred million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 3691 7382 7457 11073 11131 14914 18455 22146 22262 22371 33393 36910 37285 40601 44742 55365 55655 66786 74570 81202 82027 110730 111310 111855 121803 122441 164054 166965 203005 223710 243606 244882 246081 333930 367323 406010 410135 492162 609015 612205 734646 820270 1218030 1224410 1230405 1836615 2460810 3673230 27523787 41084521 55047574 82169042 82571361 83003867 123253563 137618935 165142722 166007734 205422605 246507126 249011601 275237870 302761657 410845210 412856805 415019335 451929731 498023202 605523314 616267815 825713610 830038670 903859462 908284971 913042537 1232535630 1245058005 1355789193 1513808285 1816569942 1826085074 2259648655 2490116010 2711578386 2739127611 3027616570 4519297310 4541424855 4565212685 5478255222 6778945965 9082849710 9130425370 13557891930 13695638055 27391276110 306367273097 612734546194 919101819291 1531836365485 1838203638582 3063672730970 3370040004067 4595509096455 6740080008134 9191018192910 10110120012201 16850200020335 20220240024402 33700400040670 50550600061005 101101200122010