Search a number
-
+
10100310220 = 22572111372073
BaseRepresentation
bin10010110100000011…
…01000000011001100
3222001220111220212201
421122001220003030
5131141134411340
64350124411244
7505203135400
oct113201500314
928056456781
1010100310220
1143133a8620
121b5a6a6b24
13c4c70c230
146bb5d5100
153e1ac479a
hex25a0680cc

10100310220 has 144 divisors (see below), whose sum is σ = 28987586208. Its totient is φ = 2905943040.

The previous prime is 10100310197. The next prime is 10100310247. The reversal of 10100310220 is 2201300101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10100310197 and 10100310206.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104104 + ... + 176176.

It is an arithmetic number, because the mean of its divisors is an integer number (201302682).

Almost surely, 210100310220 is an apocalyptic number.

10100310220 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 10100310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14493793104).

10100310220 is an abundant number, since it is smaller than the sum of its proper divisors (18887275988).

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

10100310220 is a wasteful number, since it uses less digits than its factorization.

10100310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72120 (or 72111 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10100310220 its reverse (2201300101), we get a palindrome (12301610321).

The spelling of 10100310220 in words is "ten billion, one hundred million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 182 196 220 245 260 286 308 364 385 455 490 539 572 637 715 770 910 980 1001 1078 1274 1430 1540 1820 2002 2156 2548 2695 2860 3185 4004 5005 5390 6370 7007 10010 10780 12740 14014 20020 28028 35035 70070 72073 140140 144146 288292 360365 504511 720730 792803 936949 1009022 1441460 1585606 1873898 2018044 2522555 3171212 3531577 3747796 3964015 4684745 5045110 5549621 6558643 7063154 7928030 9369490 10090220 10306439 11099242 13117286 14126308 15856060 17657885 18738980 20612878 22198484 26234572 27748105 32793215 35315770 38847347 41225756 45910501 51532195 55496210 65586430 70631540 72145073 77694694 91821002 103064390 110992420 131172860 144290146 155389388 183642004 194236735 206128780 229552505 288580292 360725365 388473470 459105010 505015511 721450730 776946940 918210020 1010031022 1442901460 2020062044 2525077555 5050155110 10100310220