Search a number
-
+
42031221100 = 225211472113853
BaseRepresentation
bin100111001001010000…
…011000100101101100
311000111020011021000121
4213021100120211230
51142034443033400
631150414534324
73015400325131
oct471120304554
9130436137017
1042031221100
111690958a570
1281902073a4
133c6ab3b63b
14206a272588
15115eeb521a
hex9c941896c

42031221100 has 144 divisors (see below), whose sum is σ = 102124463616. Its totient is φ = 14884128000.

The previous prime is 42031221091. The next prime is 42031221101. The reversal of 42031221100 is 112213024.

It is not an unprimeable number, because it can be changed into a prime (42031221101) 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, 10906774 + ... + 10910626.

It is an arithmetic number, because the mean of its divisors is an integer number (709197664).

Almost surely, 242031221100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42031221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51062231808).

42031221100 is an abundant number, since it is smaller than the sum of its proper divisors (60093242516).

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

42031221100 is a wasteful number, since it uses less digits than its factorization.

42031221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 42031221100 its reverse (112213024), we get a palindrome (42143434124).

The spelling of 42031221100 in words is "forty-two billion, thirty-one million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 188 211 220 235 275 422 470 517 550 844 940 1034 1055 1100 1175 2068 2110 2321 2350 2585 3853 4220 4642 4700 5170 5275 7706 9284 9917 10340 10550 11605 12925 15412 19265 19834 21100 23210 25850 38530 39668 42383 46420 49585 51700 58025 77060 84766 96325 99170 109087 116050 169532 181091 192650 198340 211915 218174 232100 247925 362182 385300 423830 436348 495850 545435 724364 812983 847660 905455 991700 1059575 1090870 1625966 1810910 1992001 2119150 2181740 2727175 3251932 3621820 3984002 4064915 4238300 4527275 5454350 7968004 8129830 8942813 9054550 9960005 10908700 16259660 17885626 18109100 19920010 20324575 35771252 38210201 39840020 40649150 44714065 49800025 76420402 81298300 89428130 99600050 152840804 178856260 191051005 199200100 223570325 382102010 420312211 447140650 764204020 840624422 894281300 955255025 1681248844 1910510050 2101561055 3821020100 4203122110 8406244220 10507805275 21015610550 42031221100