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10131441024 = 27389521569
BaseRepresentation
bin10010110111110000…
…11000010110000000
3222011002002112022110
421123320120112000
5131222122103044
64353155535320
7506031553635
oct113370302600
928132075273
1010131441024
114329a30661
121b68bba540
13c55cbbb23
146c17ba18c
153e46c36b9
hex25be18580

10131441024 has 128 divisors (see below), whose sum is σ = 27314172000. Its totient is φ = 3326935040.

The previous prime is 10131441013. The next prime is 10131441029. The reversal of 10131441024 is 42014413101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131441029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17805412 + ... + 17805980.

Almost surely, 210131441024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13657086000).

10131441024 is an abundant number, since it is smaller than the sum of its proper divisors (17182730976).

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

10131441024 is an equidigital number, since it uses as much as digits as its factorization.

10131441024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10131441024 its reverse (42014413101), we get a palindrome (52145854125).

The spelling of 10131441024 in words is "ten billion, one hundred thirty-one million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 267 356 384 521 534 569 712 1042 1068 1138 1424 1563 1707 2084 2136 2276 2848 3126 3414 4168 4272 4552 5696 6252 6828 8336 8544 9104 11392 12504 13656 16672 17088 18208 25008 27312 33344 34176 36416 46369 50016 50641 54624 66688 72832 92738 100032 101282 109248 139107 151923 185476 200064 202564 218496 278214 296449 303846 370952 405128 556428 592898 607692 741904 810256 889347 1112856 1185796 1215384 1483808 1620512 1778694 2225712 2371592 2430768 2967616 3241024 3557388 4451424 4743184 4861536 5935232 6482048 7114776 8902848 9486368 9723072 14229552 17805696 18972736 19446144 26383961 28459104 37945472 52767922 56918208 79151883 105535844 113836416 158303766 211071688 316607532 422143376 633215064 844286752 1266430128 1688573504 2532860256 3377147008 5065720512 10131441024