Search a number
-
+
10026100422 = 2321326171761
BaseRepresentation
bin10010101011001101…
…00010011011000110
3221212201212200011200
421111212202123012
5131013140203142
64334514043330
7503312306322
oct112546423306
927781780150
1010026100422
114285521708
121b39879546
13c3a228500
146b17d8982
153da31664c
hex2559a26c6

10026100422 has 144 divisors (see below), whose sum is σ = 24276990816. Its totient is φ = 2987712000.

The previous prime is 10026100379. The next prime is 10026100477. The reversal of 10026100422 is 22400162001.

10026100422 is a `hidden beast` number, since 10 + 0 + 2 + 610 + 0 + 42 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10026100395 and 10026100404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13174522 + ... + 13175282.

It is an arithmetic number, because the mean of its divisors is an integer number (168590214).

Almost surely, 210026100422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10026100422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12138495408).

10026100422 is an abundant number, since it is smaller than the sum of its proper divisors (14250890394).

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

10026100422 is a wasteful number, since it uses less digits than its factorization.

10026100422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10026100422 its reverse (22400162001), we get a palindrome (32426262423).

The spelling of 10026100422 in words is "ten billion, twenty-six million, one hundred thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 61 71 78 117 122 142 169 183 213 234 338 366 426 507 549 639 761 793 923 1014 1098 1278 1521 1522 1586 1846 2283 2379 2769 3042 4331 4566 4758 5538 6849 7137 8307 8662 9893 10309 11999 12993 13698 14274 16614 19786 20618 23998 25986 29679 30927 35997 38979 46421 54031 56303 59358 61854 71994 77958 89037 92781 92842 107991 108062 112606 128609 139263 162093 168909 178074 185562 215982 257218 278526 324186 337818 385827 417789 486279 506727 603473 702403 731939 771654 835578 972558 1013454 1157481 1206946 1404806 1463878 1810419 2107209 2195817 2314962 3295891 3620838 4214418 4391634 5431257 6321627 6587451 6591782 7845149 9131239 9887673 10862514 12643254 13174902 15690298 18262478 19775346 23535447 27393717 29663019 42846583 47070894 54787434 59326038 70606341 82181151 85693166 128539749 141212682 164362302 257079498 385619247 557005579 771238494 1114011158 1671016737 3342033474 5013050211 10026100422