Search a number
-
+
3123354123320 = 235592103217781
BaseRepresentation
bin101101011100110110011…
…010011011110000111000
3102001120220220211000011012
4231130312122123300320
5402133112123421240
610350503222253052
7441440425001504
oct55346632336070
912046826730135
103123354123320
11aa4674a82342
124253b0b87188
131986b9899712
14ab2578a7304
15563a3dddb65
hex2d73669bc38

3123354123320 has 96 divisors (see below), whose sum is σ = 7218114340320. Its totient is φ = 1216236837120.

The previous prime is 3123354123319. The next prime is 3123354123353. The reversal of 3123354123320 is 233214533213.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14232830 + ... + 14450610.

It is an arithmetic number, because the mean of its divisors is an integer number (75188691045).

Almost surely, 23123354123320 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 3123354123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609057170160).

3123354123320 is an abundant number, since it is smaller than the sum of its proper divisors (4094760217000).

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

3123354123320 is a wasteful number, since it uses less digits than its factorization.

3123354123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218013 (or 217950 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

Adding to 3123354123320 its reverse (233214533213), we get a palindrome (3356568656533).

The spelling of 3123354123320 in words is "three trillion, one hundred twenty-three billion, three hundred fifty-four million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 103 118 206 236 295 412 472 515 590 824 1030 1180 2060 2360 3481 4120 6077 6962 12154 13924 17405 24308 27848 30385 34810 48616 60770 69620 121540 139240 217781 243080 358543 435562 717086 871124 1088905 1434172 1742248 1792715 2177810 2868344 3585430 4355620 7170860 8711240 12849079 14341720 22431443 25698158 44862886 51396316 64245395 89725772 102792632 112157215 128490790 179451544 224314430 256981580 448628860 513963160 758095661 897257720 1323455137 1516191322 2646910274 3032382644 3790478305 5293820548 6064765288 6617275685 7580956610 10587641096 13234551370 15161913220 26469102740 30323826440 52938205480 78083853083 156167706166 312335412332 390419265415 624670824664 780838530830 1561677061660 3123354123320