Search a number
-
+
123013020302020 = 225191813313539843
BaseRepresentation
bin11011111110000100110011…
…011000001011101011000100
3121010112221002220001011222201
4123332010303120023223010
5112110421131144131040
61113343222410404244
734624253214163402
oct3376046330135304
9533487086034881
10123013020302020
1136217590021572
12119688b7730684
1353841025b92a4
142253c0d298472
15e34cb6eaba9a
hex6fe13360bac4

123013020302020 has 96 divisors (see below), whose sum is σ = 273508896286080. Its totient is φ = 46343837767680.

The previous prime is 123013020302009. The next prime is 123013020302027. The reversal of 123013020302020 is 20203020310321.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (123013020302027) 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, 227598219 + ... + 228138061.

It is an arithmetic number, because the mean of its divisors is an integer number (2849051002980).

Almost surely, 2123013020302020 is an apocalyptic number.

123013020302020 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 123013020302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136754448143040).

123013020302020 is an abundant number, since it is smaller than the sum of its proper divisors (150495875984060).

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

123013020302020 is a wasteful number, since it uses less digits than its factorization.

123013020302020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543365 (or 543363 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 123013020302020 its reverse (20203020310321), we get a palindrome (143216040612341).

The spelling of 123013020302020 in words is "one hundred twenty-three trillion, thirteen billion, twenty million, three hundred two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 181 190 362 380 724 905 1810 3313 3439 3620 6626 6878 13252 13756 16565 17195 33130 34390 62947 66260 68780 125894 251788 314735 539843 599653 629470 1079686 1199306 1258940 2159372 2398612 2699215 2998265 5398430 5996530 10257017 10796860 11393407 11993060 20514034 22786814 41028068 45573628 51285085 56967035 97711583 102570170 113934070 195423166 205140340 227868140 390846332 488557915 977115830 1788499859 1856520077 1954231660 3576999718 3713040154 7153999436 7426080308 8942499295 9282600385 17884998590 18565200770 33981497321 35769997180 37130401540 67962994642 135925989284 169907486605 323718474479 339814973210 647436948958 679629946420 1294873897916 1618592372395 3237184744790 6150651015101 6474369489580 12301302030202 24602604060404 30753255075505 61506510151010 123013020302020