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101101403201310 = 23259716371048569
BaseRepresentation
bin10110111111001110000001…
…001110010101111100011110
3111020222012101121202022100100
4112333032001032111330132
5101222421133204420220
6555005202103441530
730203223006654561
oct2677160116257436
9436865347668310
10101101403201310
112a239956443076
12b40a1674562a6
134454a8a850b45
141ad74967c24d8
15ba4d2d548d90
hex5bf381395f1e

101101403201310 has 96 divisors (see below), whose sum is σ = 267202872387360. Its totient is φ = 26518735908864.

The previous prime is 101101403201269. The next prime is 101101403201327. The reversal of 101101403201310 is 13102304101101.

It is a happy number.

101101403201310 is a `hidden beast` number, since 1 + 0 + 1 + 10 + 140 + 3 + 201 + 310 = 666.

101101403201310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1011014032013102 (a number of 29 digits) contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34101295 + ... + 36947274.

It is an arithmetic number, because the mean of its divisors is an integer number (2783363254035).

Almost surely, 2101101403201310 is an apocalyptic number.

101101403201310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101403201310 is an abundant number, since it is smaller than the sum of its proper divisors (166101469186050).

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

101101403201310 is a wasteful number, since it uses less digits than its factorization.

101101403201310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71048842 (or 71048839 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101101403201310 its reverse (13102304101101), we get a palindrome (114203707302411).

The spelling of 101101403201310 in words is "one hundred one trillion, one hundred one billion, four hundred three million, two hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 163 194 291 326 485 489 582 815 873 970 978 1455 1467 1630 1746 2445 2910 2934 4365 4890 7335 8730 14670 15811 31622 47433 79055 94866 142299 158110 237165 284598 474330 711495 1422990 71048569 142097138 213145707 355242845 426291414 639437121 710485690 1065728535 1278874242 2131457070 3197185605 6394371210 6891711193 11580916747 13783422386 20675133579 23161833494 34458555965 34742750241 41350267158 57904583735 62025400737 68917111930 69485500482 103375667895 104228250723 115809167470 124050801474 173713751205 206751335790 208456501446 310127003685 347427502410 521141253615 620254007370 1042282507230 1123348924459 2246697848918 3370046773377 5616744622295 6740093546754 10110140320131 11233489244590 16850233866885 20220280640262 33700467733770 50550701600655 101101403201310