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2031410010105 = 325727315438179
BaseRepresentation
bin11101100011111001011…
…110001101011111111001
321012012102110022200120200
4131203321132031133321
5231240311430310410
64153114502312413
7266523143120400
oct35437136153771
97165373280520
102031410010105
11713574aa0323
1228984b128709
1311973aaa1278
147046c294637
1537c957c73c0
hex1d8f978d7f9

2031410010105 has 144 divisors (see below), whose sum is σ = 4155294199680. Its totient is φ = 915217906176.

The previous prime is 2031410010059. The next prime is 2031410010107. The reversal of 2031410010105 is 5010100141302.

It is not a de Polignac number, because 2031410010105 - 213 = 2031410001913 is a prime.

It is a super-2 number, since 2×20314100101052 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2031410010107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 248364906 + ... + 248373084.

It is an arithmetic number, because the mean of its divisors is an integer number (28856209720).

Almost surely, 22031410010105 is an apocalyptic number.

It is an amenable number.

2031410010105 is an abundant number, since it is smaller than the sum of its proper divisors (2123884189575).

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

2031410010105 is a wasteful number, since it uses less digits than its factorization.

2031410010105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9820 (or 9810 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 2031410010105 its reverse (5010100141302), we get a palindrome (7041510151407).

The spelling of 2031410010105 in words is "two trillion, thirty-one billion, four hundred ten million, ten thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 73 105 147 219 245 315 365 441 511 657 735 1095 1533 1543 2205 2555 3285 3577 4599 4629 7665 7715 8179 10731 10801 13887 17885 22995 23145 24537 32193 32403 40895 53655 54005 57253 69435 73611 75607 97209 112639 122685 160965 162015 171759 226821 286265 337917 368055 378035 400771 486045 515277 563195 597067 680463 788473 858795 1013751 1134105 1202313 1689585 1791201 2003855 2365419 2576385 2985335 3402315 3606939 3942365 4179469 5068755 5373603 5519311 6011565 7096257 8956005 11827095 12538407 12620197 16557933 18034695 20897345 26868015 27596555 29256283 35481285 37615221 37860591 49673799 62692035 63100985 82789665 87768849 88341379 113581773 146281415 188076105 189302955 248368995 263306547 265024137 438844245 441706895 567908865 618389653 795072411 921274381 1316532735 1325120685 1855168959 2763823143 3091948265 3975362055 4606371905 5565506877 6448920667 8291469429 9275844795 13819115715 19346762001 27827534385 32244603335 41457347145 45142444669 58040286003 96733810005 135427334007 225712223345 290201430015 406282002021 677136670035 2031410010105