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10131421410 = 23351110933121
BaseRepresentation
bin10010110111110000…
…10011100011100010
3222011002001112102000
421123320103203202
5131222120441120
64353155304430
7506031442515
oct113370234342
928132045360
1010131421410
114329a17950
121b68bab116
13c55cb2c16
146c17b2d7c
153e46bc990
hex25be138e2

10131421410 has 128 divisors (see below), whose sum is σ = 29509643520. Its totient is φ = 2453068800.

The previous prime is 10131421369. The next prime is 10131421427. The reversal of 10131421410 is 1412413101.

10131421410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3244650 + ... + 3247770.

It is an arithmetic number, because the mean of its divisors is an integer number (230544090).

Almost surely, 210131421410 is an apocalyptic number.

10131421410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131421410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14754821760).

10131421410 is an abundant number, since it is smaller than the sum of its proper divisors (19378222110).

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

10131421410 is a wasteful number, since it uses less digits than its factorization.

10131421410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4241 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10131421410 its reverse (1412413101), we get a palindrome (11543834511).

The spelling of 10131421410 in words is "ten billion, one hundred thirty-one million, four hundred twenty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1093 1485 2186 2970 3121 3279 5465 6242 6558 9363 9837 10930 12023 15605 16395 18726 19674 24046 28089 29511 31210 32790 34331 36069 46815 49185 56178 59022 60115 68662 72138 84267 93630 98370 102993 108207 120230 140445 147555 168534 171655 180345 205986 216414 280890 295110 308979 324621 343310 360690 421335 514965 541035 617958 649242 842670 926937 1029930 1082070 1544895 1623105 1853874 3089790 3246210 3411253 4634685 6822506 9269370 10233759 17056265 20467518 30701277 34112530 37523783 51168795 61402554 75047566 92103831 102337590 112571349 153506385 184207662 187618915 225142698 307012770 337714047 375237830 460519155 562856745 675428094 921038310 1013142141 1125713490 1688570235 2026284282 3377140470 5065710705 10131421410