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103443311430 = 232523319492531
BaseRepresentation
bin110000001010110110…
…0111010101101000110
3100220000010211200112200
41200111230322231012
53143322441431210
6115304325055330
710321264432224
oct1402554725506
9326003750480
10103443311430
113a963063a28
121806ab57546
1399a6cbb424
1450144a3b14
152a5669a0c0
hex1815b3ab46

103443311430 has 96 divisors (see below), whose sum is σ = 270352274400. Its totient is φ = 27441553920.

The previous prime is 103443311357. The next prime is 103443311443. The reversal of 103443311430 is 34113344301.

103443311430 is a `hidden beast` number, since 1 + 0 + 344 + 3 + 311 + 4 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 103443311394 and 103443311403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40869265 + ... + 40871795.

It is an arithmetic number, because the mean of its divisors is an integer number (2816169525).

Almost surely, 2103443311430 is an apocalyptic number.

103443311430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103443311430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135176137200).

103443311430 is an abundant number, since it is smaller than the sum of its proper divisors (166908962970).

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

103443311430 is a wasteful number, since it uses less digits than its factorization.

103443311430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 103443311430 its reverse (34113344301), we get a palindrome (137556655731).

The spelling of 103443311430 in words is "one hundred three billion, four hundred forty-three million, three hundred eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 233 466 699 1165 1398 1949 2097 2330 2531 3495 3898 4194 5062 5847 6990 7593 9745 10485 11694 12655 15186 17541 19490 20970 22779 25310 29235 35082 37965 45558 58470 75930 87705 113895 175410 227790 454117 589723 908234 1179446 1362351 1769169 2270585 2724702 2948615 3538338 4087053 4541170 4932919 5307507 5897230 6811755 8174106 8845845 9865838 10615014 13623510 14798757 17691690 20435265 24664595 26537535 29597514 40870530 44396271 49329190 53075070 73993785 88792542 147987570 221981355 443962710 1149370127 2298740254 3448110381 5746850635 6896220762 10344331143 11493701270 17240551905 20688662286 34481103810 51721655715 103443311430