Search a number
-
+
13023123020 = 22517232611187
BaseRepresentation
bin11000010000011110…
…10001011001001100
31020121121022012021122
430020033101121030
5203132404414040
65552134420112
7640503501455
oct141017213114
936547265248
1013023123020
115583239096
122635501638
1312c710976b
148b786812c
155134bd1b5
hex3083d164c

13023123020 has 144 divisors (see below), whose sum is σ = 30793216608. Its totient is φ = 4608890880.

The previous prime is 13023123007. The next prime is 13023123023. The reversal of 13023123020 is 2032132031.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 13023123020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023123023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10970867 + ... + 10972053.

It is an arithmetic number, because the mean of its divisors is an integer number (213841782).

Almost surely, 213023123020 is an apocalyptic number.

13023123020 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 13023123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15396608304).

13023123020 is an abundant number, since it is smaller than the sum of its proper divisors (17770093588).

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

13023123020 is a wasteful number, since it uses less digits than its factorization.

13023123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13023123020 its reverse (2032132031), we get a palindrome (15055255051).

The spelling of 13023123020 in words is "thirteen billion, twenty-three million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 61 68 85 92 115 122 170 230 244 305 340 391 460 529 610 782 1037 1058 1187 1220 1403 1564 1955 2074 2116 2374 2645 2806 3910 4148 4748 5185 5290 5612 5935 7015 7820 8993 10370 10580 11870 14030 17986 20179 20740 23740 23851 27301 28060 32269 35972 40358 44965 47702 54602 64538 72407 80716 89930 95404 100895 109204 119255 129076 136505 144814 161345 179860 201790 238510 273010 289628 322690 362035 403580 464117 477020 546020 548573 627923 645380 724070 928234 1097146 1230919 1255846 1448140 1665361 1856468 2194292 2320585 2461838 2511692 2742865 3139615 3330722 4641170 4923676 5485730 6154595 6279230 6661444 8326805 9282340 10674691 10971460 12309190 12558460 16653610 21349382 24618380 28311137 33307220 38303303 42698764 53373455 56622274 76606606 106746910 113244548 141555685 153213212 191516515 213493820 283111370 383033030 566222740 651156151 766066060 1302312302 2604624604 3255780755 6511561510 13023123020