Search a number
-
+
106422313452 = 223721331914363
BaseRepresentation
bin110001100011101000…
…0111010000111101100
3101011200202100200001220
41203013100322013230
53220423103012302
6120520103303340
710455146511300
oct1430720720754
9334622320056
10106422313452
1141151692274
121876074ab50
13a060230210
145217da1d00
152b7ce924bc
hex18c743a1ec

106422313452 has 144 divisors (see below), whose sum is σ = 311249417472. Its totient is φ = 28052196480.

The previous prime is 106422313423. The next prime is 106422313453. The reversal of 106422313452 is 254313224601.

It is a super-2 number, since 2×1064223134522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106422313453) 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, 24389823 + ... + 24394185.

It is an arithmetic number, because the mean of its divisors is an integer number (2161454288).

Almost surely, 2106422313452 is an apocalyptic number.

106422313452 is a gapful number since it is divisible by the number (12) 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 106422313452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155624708736).

106422313452 is an abundant number, since it is smaller than the sum of its proper divisors (204827104020).

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

106422313452 is a wasteful number, since it uses less digits than its factorization.

106422313452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7588 (or 7579 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 106422313452 in words is "one hundred six billion, four hundred twenty-two million, three hundred thirteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3191 3822 4363 6382 7644 8726 9573 12764 13089 17452 19146 22337 26178 30541 38292 41483 44674 52356 56719 61082 67011 82966 89348 91623 113438 122164 124449 134022 156359 165932 170157 183246 213787 226876 248898 268044 290381 312718 340314 366492 397033 427574 469077 497796 580762 625436 641361 680628 794066 855148 871143 938154 1161524 1191099 1282722 1588132 1742286 1876308 2032667 2382198 2565444 2779231 3484572 4065334 4764396 5558462 6098001 8130668 8337693 11116924 12196002 13922333 16675386 24392004 27844666 33350772 41766999 55689332 83533998 97456331 167067996 180990329 194912662 292368993 361980658 389825324 542970987 584737986 682194317 723961316 1085941974 1169475972 1266932303 1364388634 2046582951 2171883948 2533864606 2728777268 3800796909 4093165902 5067729212 7601593818 8186331804 8868526121 15203187636 17737052242 26605578363 35474104484 53211156726 106422313452