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43106103322540 = 22517244940134139
BaseRepresentation
bin10011100110100011010111…
…11110011110011110101100
312122121220101110022112120021
421303101223332132132230
521122222244422310130
6231402400454131524
712036212265465436
oct1163215376363654
9178556343275507
1043106103322540
111280a217608465
124a02302950ba4
131b08b7120aa4b
14a904bcc59656
154eb44e3e237a
hex27346bf9e7ac

43106103322540 has 144 divisors (see below), whose sum is σ = 96422389308000. Its totient is φ = 16184091148288.

The previous prime is 43106103322507. The next prime is 43106103322577. The reversal of 43106103322540 is 4522330160134.

It is a happy number.

It is a super-2 number, since 2×431061033225402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 43106103322496 and 43106103322505.

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, 10414615791 + ... + 10414619929.

It is an arithmetic number, because the mean of its divisors is an integer number (669599925750).

Almost surely, 243106103322540 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 43106103322540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48211194654000).

43106103322540 is an abundant number, since it is smaller than the sum of its proper divisors (53316285985460).

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

43106103322540 is a wasteful number, since it uses less digits than its factorization.

43106103322540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8644 (or 8625 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 43106103322540 its reverse (4522330160134), we get a palindrome (47628433482674).

The spelling of 43106103322540 in words is "forty-three trillion, one hundred six billion, one hundred three million, three hundred twenty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 449 578 898 1156 1445 1796 2245 2890 4013 4139 4490 5780 7633 8026 8278 8980 15266 16052 16556 20065 20695 30532 38165 40130 41390 68221 70363 76330 80260 82780 129761 136442 140726 152660 259522 272884 281452 341105 351815 519044 648805 682210 703630 1159757 1196171 1297610 1364420 1407260 1801837 1858411 2319514 2392342 2595220 3603674 3716822 4639028 4784684 5798785 5980855 7207348 7433644 9009185 9292055 11597570 11961710 16609807 18018370 18584110 23195140 23923420 30631229 31592987 33219614 36036740 37168220 61262458 63185974 66439228 83049035 122524916 126371948 153156145 157964935 166098070 282366719 306312290 315929870 332196140 520730893 537080779 564733438 612624580 631859740 1041461786 1074161558 1129466876 1411833595 2082923572 2148323116 2603654465 2685403895 2823667190 4800234223 5207308930 5370807790 5647334380 7457803343 9600468446 10414617860 10741615580 14915606686 19200936892 24001171115 29831213372 37289016715 48002342230 74578033430 96004684460 126782656831 149156066860 253565313662 507130627324 633913284155 1267826568310 2155305166127 2535653136620 4310610332254 8621220664508 10776525830635 21553051661270 43106103322540