Search a number
-
+
122111320203320 = 23576713814713347
BaseRepresentation
bin11011110000111101000001…
…110111010010000000111000
3121000100201122212020010202212
4123300331001313102000320
5112001132440433001240
61111413055512114252
734502152230620030
oct3360750167220070
9530321585203685
10122111320203320
11359aa135901428
1211841baa095988
13531a08184aa26
1422223101a28c0
15e1b5e05ac165
hex6f0f41dd2038

122111320203320 has 128 divisors (see below), whose sum is σ = 318917945986560. Its totient is φ = 41211989153280.

The previous prime is 122111320203319. The next prime is 122111320203329. The reversal of 122111320203320 is 23302023111221.

It is a super-2 number, since 2×1221113202033202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111320203329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23550887 + ... + 28264233.

It is an arithmetic number, because the mean of its divisors is an integer number (2491546453020).

Almost surely, 2122111320203320 is an apocalyptic number.

122111320203320 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 122111320203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159458972993280).

122111320203320 is an abundant number, since it is smaller than the sum of its proper divisors (196806625783240).

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

122111320203320 is a wasteful number, since it uses less digits than its factorization.

122111320203320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4714813 (or 4714809 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 122111320203320 its reverse (23302023111221), we get a palindrome (145413343314541).

The spelling of 122111320203320 in words is "one hundred twenty-two trillion, one hundred eleven billion, three hundred twenty million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 134 140 268 280 335 469 536 670 938 1340 1381 1876 2345 2680 2762 3752 4690 5524 6905 9380 9667 11048 13810 18760 19334 27620 38668 48335 55240 77336 92527 96670 185054 193340 370108 386680 462635 647689 740216 925270 1295378 1850540 2590756 3238445 3701080 4713347 5181512 6476890 9426694 12953780 18853388 23566735 25907560 32993429 37706776 47133470 65986858 94266940 131973716 164967145 188533880 263947432 315794249 329934290 631588498 659868580 1263176996 1319737160 1578971245 2210559743 2526353992 3157942490 4421119486 6315884980 6509132207 8842238972 11052798715 12631769960 13018264414 17684477944 22105597430 26036528828 32545661035 44211194860 45563925449 52073057656 65091322070 88422389720 91127850898 130182644140 182255701796 227819627245 260365288280 364511403592 436111857869 455639254490 872223715738 911278508980 1744447431476 1822557017960 2180559289345 3052783005083 3488894862952 4361118578690 6105566010166 8722237157380 12211132020332 15263915025415 17444474314760 24422264040664 30527830050830 61055660101660 122111320203320