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10101103131 = 3723107241811
BaseRepresentation
bin10010110100001001…
…01001101000011011
3222001222000012112210
421122010221220123
5131141340300011
64350153410203
7505212650160
oct113204515033
928058005483
1010101103131
11431389a319
121b5aa09963
13c4c929102
146bb760067
153e1bce6a6
hex25a129a1b

10101103131 has 64 divisors (see below), whose sum is σ = 16298827776. Its totient is φ = 5440089600.

The previous prime is 10101103123. The next prime is 10101103141. The reversal of 10101103131 is 13130110101.

It is not a de Polignac number, because 10101103131 - 23 = 10101103123 is a prime.

It is a super-2 number, since 2×101011031312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10101103141) 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, 12454716 + ... + 12455526.

It is an arithmetic number, because the mean of its divisors is an integer number (254669184).

Almost surely, 210101103131 is an apocalyptic number.

10101103131 is a deficient number, since it is larger than the sum of its proper divisors (6197724645).

10101103131 is a wasteful number, since it uses less digits than its factorization.

10101103131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10101103131 its reverse (13130110101), we get a palindrome (23231213232).

The spelling of 10101103131 in words is "ten billion, one hundred one million, one hundred three thousand, one hundred thirty-one".

Divisors: 1 3 7 21 23 69 107 161 241 321 483 723 749 811 1687 2247 2433 2461 5061 5543 5677 7383 16629 17031 17227 18653 25787 38801 51681 55959 77361 86777 116403 130571 180509 195451 260331 391713 541527 586353 593101 607439 1368157 1779303 1822317 1995871 4104471 4151707 4495373 5987613 12455121 13486119 13971097 20913257 31467611 41913291 62739771 94402833 146392799 439178397 481004911 1443014733 3367034377 10101103131