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10131312440 = 235599744257
BaseRepresentation
bin10010110111101111…
…11000111100111000
3222011001211222221002
421123313320330320
5131222103444230
64353153104132
7506030510024
oct113367707470
928131758832
1010131312440
114329952a97
121b68b58048
13c55c75442
146c1785384
153e469a545
hex25bdf8f38

10131312440 has 64 divisors (see below), whose sum is σ = 23421333600. Its totient is φ = 3942678528.

The previous prime is 10131312439. The next prime is 10131312463. The reversal of 10131312440 is 4421313101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206792 + ... + 251048.

Almost surely, 210131312440 is an apocalyptic number.

10131312440 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 10131312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11710666800).

10131312440 is an abundant number, since it is smaller than the sum of its proper divisors (13290021160).

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

10131312440 is a wasteful number, since it uses less digits than its factorization.

10131312440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44424 (or 44420 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10131312440 its reverse (4421313101), we get a palindrome (14552625541).

The spelling of 10131312440 in words is "ten billion, one hundred thirty-one million, three hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 97 118 194 236 295 388 472 485 590 776 970 1180 1940 2360 3880 5723 11446 22892 28615 44257 45784 57230 88514 114460 177028 221285 228920 354056 442570 885140 1770280 2611163 4292929 5222326 8585858 10444652 13055815 17171716 20889304 21464645 26111630 34343432 42929290 52223260 85858580 104446520 171717160 253282811 506565622 1013131244 1266414055 2026262488 2532828110 5065656220 10131312440