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103233343444 = 227111272699811
BaseRepresentation
bin110000000100100101…
…1111100111111010100
3100212110111202012121121
41200021023330333110
53142410213442234
6115231424453324
710313134640530
oct1401113747724
9325414665547
10103233343444
113a865592970
121801077a244
13997265400a
144dd4648bc0
152a430224b4
hex18092fcfd4

103233343444 has 96 divisors (see below), whose sum is σ = 227877027840. Its totient is φ = 39751689600.

The previous prime is 103233343429. The next prime is 103233343469. The reversal of 103233343444 is 444343332301.

It is a super-2 number, since 2×1032333434442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10517299 + ... + 10527109.

It is an arithmetic number, because the mean of its divisors is an integer number (2373719040).

Almost surely, 2103233343444 is an apocalyptic number.

103233343444 is a gapful number since it is divisible by the number (14) 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 103233343444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113938513920).

103233343444 is an abundant number, since it is smaller than the sum of its proper divisors (124643684396).

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

103233343444 is a wasteful number, since it uses less digits than its factorization.

103233343444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10229 (or 10227 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 103233343444 its reverse (444343332301), we get a palindrome (547576675745).

The spelling of 103233343444 in words is "one hundred three billion, two hundred thirty-three million, three hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 127 154 254 269 308 508 538 889 1076 1397 1778 1883 2794 2959 3556 3766 5588 5918 7532 9779 9811 11836 19558 19622 20713 34163 39116 39244 41426 68326 68677 82852 107921 136652 137354 215842 239141 274708 375793 431684 478282 751586 755447 956564 1245997 1503172 1510894 2491994 2630551 2639159 3021788 4983988 5261102 5278318 8721979 10522204 10556636 13705967 17443958 18474113 27411934 29030749 34887916 36948226 54823868 58061498 73896452 95941769 116122996 191883538 203215243 335173193 383767076 406430486 670346386 812860972 1340692772 2346212351 3686905123 4692424702 7373810246 9384849404 14747620492 25808335861 51616671722 103233343444