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10131241520 = 245672836679
BaseRepresentation
bin10010110111101111…
…00111101000110000
3222011001201101122102
421123313213220300
5131222044212040
64353151355532
7506030063201
oct113367475060
928131641572
1010131241520
114329904784
121b68b22ba8
13c55c4c08a
146c17675a8
153e4684515
hex25bde7a30

10131241520 has 80 divisors (see below), whose sum is σ = 23994773760. Its totient is φ = 3977309952.

The previous prime is 10131241499. The next prime is 10131241531. The reversal of 10131241520 is 2514213101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×101312415203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10131241492 and 10131241501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1513541 + ... + 1520219.

It is an arithmetic number, because the mean of its divisors is an integer number (299934672).

Almost surely, 210131241520 is an apocalyptic number.

10131241520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131241520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11997386880).

10131241520 is an abundant number, since it is smaller than the sum of its proper divisors (13863532240).

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

10131241520 is a wasteful number, since it uses less digits than its factorization.

10131241520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7042 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 10131241520 its reverse (2514213101), we get a palindrome (12645454621).

The spelling of 10131241520 in words is "ten billion, one hundred thirty-one million, two hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 283 335 536 566 670 1072 1132 1340 1415 2264 2680 2830 4528 5360 5660 6679 11320 13358 18961 22640 26716 33395 37922 53432 66790 75844 94805 106864 133580 151688 189610 267160 303376 379220 447493 534320 758440 894986 1516880 1789972 1890157 2237465 3579944 3780314 4474930 7159888 7560628 8949860 9450785 15121256 17899720 18901570 30242512 35799440 37803140 75606280 126640519 151212560 253281038 506562076 633202595 1013124152 1266405190 2026248304 2532810380 5065620760 10131241520