Search a number
-
+
100220030106 = 23789211283449
BaseRepresentation
bin101110101010110010…
…1000100110010011010
3100120200111200000210220
41131111211010302122
53120222311430411
6114012423020510
710145355125460
oct1352545046232
9316614600726
10100220030106
1139559659a69
121750b59a736
1395b228aa81
144bca378830
1529186edb06
hex1755944c9a

100220030106 has 128 divisors (see below), whose sum is σ = 234088704000. Its totient is φ = 28016271360.

The previous prime is 100220030101. The next prime is 100220030111. The reversal of 100220030106 is 601030022001.

It is an interprime number because it is at equal distance from previous prime (100220030101) and next prime (100220030111).

It is not an unprimeable number, because it can be changed into a prime (100220030101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223206970 + ... + 223207418.

It is an arithmetic number, because the mean of its divisors is an integer number (1828818000).

Almost surely, 2100220030106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100220030106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117044352000).

100220030106 is an abundant number, since it is smaller than the sum of its proper divisors (133868673894).

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

100220030106 is a wasteful number, since it uses less digits than its factorization.

100220030106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100220030106 its reverse (601030022001), we get a palindrome (701250052107).

The spelling of 100220030106 in words is "one hundred billion, two hundred twenty million, thirty thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 42 89 178 211 267 283 422 449 534 566 623 633 849 898 1246 1266 1347 1477 1698 1869 1981 2694 2954 3143 3738 3962 4431 5943 6286 8862 9429 11886 18779 18858 25187 37558 39961 50374 56337 59713 75561 79922 94739 112674 119426 119883 127067 131453 151122 176309 179139 189478 239766 254134 262906 279727 284217 352618 358278 381201 394359 417991 528927 559454 568434 663173 762402 788718 835982 839181 889469 1057854 1253973 1326346 1678362 1778938 1989519 2507946 2668407 3979038 5314457 5336814 8431771 10628914 11308963 15943371 16863542 22617926 25295313 26811137 31886742 33926889 37201199 50590626 53622274 59022397 67853778 74402398 79162741 80433411 111603597 118044794 158325482 160866822 177067191 187677959 223207194 237488223 354134382 375355918 474976446 563033877 1126067754 2386191193 4772382386 7158573579 14317147158 16703338351 33406676702 50110015053 100220030106