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10331221344 = 2531494911471
BaseRepresentation
bin10011001111100100…
…11110110101100000
3222200000000102101120
421213302132311200
5132124243040334
64425053532240
7514005634563
oct114762366540
928600012346
1010331221344
114421783564
122003aa4080
13c884ca132
147001424da
15406ed7949
hex267c9ed60

10331221344 has 96 divisors (see below), whose sum is σ = 27375667200. Its totient is φ = 3411340800.

The previous prime is 10331221343. The next prime is 10331221349. The reversal of 10331221344 is 44312213301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10331221343) 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, 7022529 + ... + 7023999.

It is an arithmetic number, because the mean of its divisors is an integer number (285163200).

Almost surely, 210331221344 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 10331221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13687833600).

10331221344 is an abundant number, since it is smaller than the sum of its proper divisors (17044445856).

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

10331221344 is a wasteful number, since it uses less digits than its factorization.

10331221344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10331221344 its reverse (44312213301), we get a palindrome (54643434645).

The spelling of 10331221344 in words is "ten billion, three hundred thirty-one million, two hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 447 491 596 894 982 1192 1471 1473 1788 1964 2384 2942 2946 3576 3928 4413 4768 5884 5892 7152 7856 8826 11768 11784 14304 15712 17652 23536 23568 35304 47072 47136 70608 73159 141216 146318 219179 219477 292636 438358 438954 585272 657537 722261 876716 877908 1170544 1315074 1444522 1753432 1755816 2166783 2341088 2630148 2889044 3506864 3511632 4333566 5260296 5778088 7013728 7023264 8667132 10520592 11556176 17334264 21041184 23112352 34668528 69337056 107616889 215233778 322850667 430467556 645701334 860935112 1291402668 1721870224 2582805336 3443740448 5165610672 10331221344