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101021102201110 = 25713254449156833
BaseRepresentation
bin10110111110000011001110…
…111010010101100100010110
3111020200112010022020211200211
4112332003032322111210112
5101220112204130413420
6554504241554400034
730164351041506430
oct2676031672254426
9436615108224624
10101021102201110
112a20889963a0a3
12b3b669689001a
13444a33125ac00
141ad3639a93650
15ba2bcd91ee5a
hex5be0cee95916

101021102201110 has 96 divisors (see below), whose sum is σ = 225035836977600. Its totient is φ = 31970722627584.

The previous prime is 101021102201087. The next prime is 101021102201143. The reversal of 101021102201110 is 11102201120101.

It is a happy number.

It is a super-2 number, since 2×1010211022011102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 644053254 + ... + 644210086.

It is an arithmetic number, because the mean of its divisors is an integer number (2344123301850).

Almost surely, 2101021102201110 is an apocalyptic number.

101021102201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101021102201110 is an abundant number, since it is smaller than the sum of its proper divisors (124014734776490).

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

101021102201110 is a wasteful number, since it uses less digits than its factorization.

101021102201110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211322 (or 211309 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101021102201110 its reverse (11102201120101), we get a palindrome (112123303321211).

The spelling of 101021102201110 in words is "one hundred one trillion, twenty-one billion, one hundred two million, two hundred one thousand, one hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 169 182 338 455 845 910 1183 1690 2366 5915 11830 54449 108898 156833 272245 313666 381143 544490 707837 762286 784165 1097831 1415674 1568330 1905715 2038829 2195662 3539185 3811430 4077658 4954859 5489155 7078370 9201881 9909718 10194145 10978310 14271803 18403762 20388290 24774295 26504777 28543606 46009405 49548590 53009554 64413167 71359015 92018810 128826334 132523885 142718030 185533439 265047770 322065835 371066878 644131670 927667195 1855334390 8539400017 17078800034 42697000085 59775800119 85394000170 111012200221 119551600238 222024400442 298879000595 555061001105 597758001190 777085401547 1110122002210 1443158602873 1554170803094 2886317205746 3885427007735 7215793014365 7770854015470 10102110220111 14431586028730 20204220440222 50510551100555 101021102201110