Search a number
-
+
122031233220320 = 25519219991056893
BaseRepresentation
bin11011101111110010011100…
…010011101011111011100000
3121000002001221110102212112022
4123233302130103223323200
5111443324431201022240
61111312212530121012
734463315501526464
oct3357623423537340
9530061843385468
10122031233220320
1135979178894776
121182a579120168
13531265a6ac2a8
14221c4b3a644a4
15e194a465a9b5
hex6efc9c4ebee0

122031233220320 has 144 divisors (see below), whose sum is σ = 304423520184000. Its totient is φ = 46220237687808.

The previous prime is 122031233220317. The next prime is 122031233220353. The reversal of 122031233220320 is 23022332130221.

122031233220320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 122031233220320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114933794 + ... + 115990686.

It is an arithmetic number, because the mean of its divisors is an integer number (2114052223500).

Almost surely, 2122031233220320 is an apocalyptic number.

122031233220320 is a gapful number since it is divisible by the number (10) 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 122031233220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152211760092000).

122031233220320 is an abundant number, since it is smaller than the sum of its proper divisors (182392286963680).

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

122031233220320 is a wasteful number, since it uses less digits than its factorization.

122031233220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058945 (or 1058918 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 122031233220320 its reverse (23022332130221), we get a palindrome (145053565350541).

The spelling of 122031233220320 in words is "one hundred twenty-two trillion, thirty-one billion, two hundred thirty-three million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 361 380 608 722 760 1444 1520 1805 1999 2888 3040 3610 3998 5776 7220 7996 9995 11552 14440 15992 19990 28880 31984 37981 39980 57760 63968 75962 79960 151924 159920 189905 303848 319840 379810 607696 721639 759620 1056893 1215392 1443278 1519240 2113786 2886556 3038480 3608195 4227572 5284465 5773112 6076960 7216390 8455144 10568930 11546224 14432780 16910288 20080967 21137860 23092448 28865560 33820576 40161934 42275720 57731120 80323868 84551440 100404835 115462240 160647736 169102880 200809670 321295472 381538373 401619340 642590944 763076746 803238680 1526153492 1606477360 1907691865 2112729107 3052306984 3212954720 3815383730 4225458214 6104613968 7630767460 8450916428 10563645535 12209227936 15261534920 16901832856 21127291070 30523069840 33803665712 40141853033 42254582140 61046139680 67607331424 80283706066 84509164280 160567412132 169018328560 200709265165 321134824264 338036657120 401418530330 642269648528 762695207627 802837060660 1284539297056 1525390415254 1605674121320 3050780830508 3211348242640 3813476038135 6101561661016 6422696485280 7626952076270 12203123322032 15253904152540 24406246644064 30507808305080 61015616610160 122031233220320