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10131132102 = 2372134875443
BaseRepresentation
bin10010110111101110…
…01100111011000110
3222011001111211112220
421123313030323012
5131222032211402
64353145153210
7506026126200
oct113367147306
928131454486
1010131132102
11432983a553
121b68a8b806
13c55c11330
146c1739770
153e4661dbc
hex25bdccec6

10131132102 has 96 divisors (see below), whose sum is σ = 25440291072. Its totient is φ = 2665970496.

The previous prime is 10131132083. The next prime is 10131132119. The reversal of 10131132102 is 20123113101.

It is a happy number.

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, 1858593 + ... + 1864035.

It is an arithmetic number, because the mean of its divisors is an integer number (265003032).

Almost surely, 210131132102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131132102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12720145536).

10131132102 is an abundant number, since it is smaller than the sum of its proper divisors (15309158970).

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

10131132102 is a wasteful number, since it uses less digits than its factorization.

10131132102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5962 (or 5955 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10131132102 its reverse (20123113101), we get a palindrome (30254245203).

The spelling of 10131132102 in words is "ten billion, one hundred thirty-one million, one hundred thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 487 546 637 974 1274 1461 1911 2922 3409 3822 5443 6331 6818 10227 10886 12662 16329 18993 20454 23863 32658 37986 38101 44317 47726 70759 71589 76202 88634 114303 132951 141518 143178 212277 228606 265902 266707 310219 424554 495313 533414 620438 800121 930657 990626 1485939 1600242 1861314 2650741 2971878 3467191 5301482 6934382 7952223 10401573 15904446 18555187 20803146 34459633 37110374 55665561 68919266 103378899 111331122 129886309 206757798 241217431 259772618 389658927 482434862 723652293 779317854 1447304586 1688522017 3377044034 5065566051 10131132102