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10441311012 = 22321123249843
BaseRepresentation
bin10011011100101100…
…11100001100100100
3222221200011120000200
421232112130030210
5132340433423022
64444025310500
7516513451656
oct115626341444
928850146020
1010441311012
114478936560
122034935430
13ca5264252
147109dc6d6
154119d1bac
hex26e59c324

10441311012 has 108 divisors (see below), whose sum is σ = 30099595344. Its totient is φ = 3026406240.

The previous prime is 10441311011. The next prime is 10441311019. The reversal of 10441311012 is 21011314401.

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

It is not an unprimeable number, because it can be changed into a prime (10441311011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 184563 + ... + 234405.

Almost surely, 210441311012 is an apocalyptic number.

10441311012 is a gapful number since it is divisible by the number (12) 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 10441311012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15049797672).

10441311012 is an abundant number, since it is smaller than the sum of its proper divisors (19658284332).

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

10441311012 is a wasteful number, since it uses less digits than its factorization.

10441311012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49910 (or 49882 counting only the distinct ones).

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

Adding to 10441311012 its reverse (21011314401), we get a palindrome (31452625413).

The spelling of 10441311012 in words is "ten billion, four hundred forty-one million, three hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 529 759 828 1012 1058 1518 1587 2116 2277 3036 3174 4554 4761 5819 6348 9108 9522 11638 17457 19044 23276 34914 49843 52371 69828 99686 104742 149529 199372 209484 299058 448587 548273 598116 897174 1096546 1146389 1644819 1794348 2193092 2292778 3289638 3439167 4585556 4934457 6579276 6878334 9868914 10317501 12610279 13756668 19737828 20635002 25220558 26366947 37830837 41270004 50441116 52733894 75661674 79100841 105467788 113492511 151323348 158201682 226985022 237302523 290036417 316403364 453970044 474605046 580072834 870109251 949210092 1160145668 1740218502 2610327753 3480437004 5220655506 10441311012