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10311410124 = 22321953461617
BaseRepresentation
bin10011001101001101…
…11010000111001100
3222121121201220111200
421212212322013030
5132104210110444
64423105145500
7513345353121
oct114646720714
928547656450
1010311410124
114411582054
121bb932b290
13c84381912
146db666748
154053c2969
hex2669ba1cc

10311410124 has 144 divisors (see below), whose sum is σ = 28060512480. Its totient is φ = 3182699520.

The previous prime is 10311410113. The next prime is 10311410167. The reversal of 10311410124 is 42101411301.

10311410124 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 a junction number, because it is equal to n+sod(n) for n = 10311410097 and 10311410106.

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 47 ways as a sum of consecutive naturals, for example, 16711864 + ... + 16712480.

It is an arithmetic number, because the mean of its divisors is an integer number (194864670).

Almost surely, 210311410124 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 10311410124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14030256240).

10311410124 is an abundant number, since it is smaller than the sum of its proper divisors (17749102356).

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

10311410124 is a wasteful number, since it uses less digits than its factorization.

10311410124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1155 counting only the distinct ones).

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

Adding to 10311410124 its reverse (42101411301), we get a palindrome (52412821425).

The spelling of 10311410124 in words is "ten billion, three hundred eleven million, four hundred ten thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 53 57 76 106 114 159 171 212 228 318 342 461 477 617 636 684 922 954 1007 1234 1383 1844 1851 1908 2014 2468 2766 3021 3702 4028 4149 5532 5553 6042 7404 8298 8759 9063 11106 11723 12084 16596 17518 18126 22212 23446 24433 26277 32701 35036 35169 36252 46892 48866 52554 65402 70338 73299 78831 97732 98103 105108 105507 130804 140676 146598 157662 196206 211014 219897 284437 293196 294309 315324 392412 422028 439794 464227 568874 588618 621319 853311 879588 928454 1137748 1177236 1242638 1392681 1706622 1856908 1863957 2485276 2559933 2785362 3413244 3727914 4178043 5119866 5404303 5570724 5591871 7455828 8356086 10239732 10808606 11183742 15075161 16212909 16712172 21617212 22367484 30150322 32425818 45225483 48638727 60300644 64851636 90450966 97277454 135676449 180901932 194554908 271352898 286428059 542705796 572856118 859284177 1145712236 1718568354 2577852531 3437136708 5155705062 10311410124