Search a number
-
+
45123422223030 = 235109251145137889
BaseRepresentation
bin10100100001010000111011…
…00011010111101010110110
312220202202102212201200200020
422100220131203113222312
521403300232042114110
6235545225231230010
712335026316303664
oct1220503543275266
9186682385650606
1045123422223030
1113417810530548
12508927a978306
131c24174850118
14b1ddb18bbc34
15533b6ca8ad70
hex290a1d8d7ab6

45123422223030 has 128 divisors (see below), whose sum is σ = 109803692275200. Its totient is φ = 11866521600000.

The previous prime is 45123422223023. The next prime is 45123422223107. The reversal of 45123422223030 is 3032222432154.

45123422223030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×451234222230302 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45123422222982 and 45123422223000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1190918326 + ... + 1190956214.

It is an arithmetic number, because the mean of its divisors is an integer number (857841345900).

Almost surely, 245123422223030 is an apocalyptic number.

45123422223030 is an abundant number, since it is smaller than the sum of its proper divisors (64680270052170).

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

45123422223030 is a wasteful number, since it uses less digits than its factorization.

45123422223030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39710.

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 45123422223030 its reverse (3032222432154), we get a palindrome (48155644655184).

The spelling of 45123422223030 in words is "forty-five trillion, one hundred twenty-three billion, four hundred twenty-two million, two hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 109 218 251 327 502 545 654 753 1090 1255 1451 1506 1635 2510 2902 3270 3765 4353 7255 7530 8706 14510 21765 27359 37889 43530 54718 75778 82077 113667 136795 158159 164154 189445 227334 273590 316318 364201 378890 410385 474477 568335 728402 790795 820770 948954 1092603 1136670 1581590 1821005 2185206 2372385 3642010 4129901 4744770 5463015 8259802 9510139 10926030 12389703 19020278 20649505 24779406 28530417 39697909 41299010 47550695 54976939 57060834 61948515 79395818 95101390 109953878 119093727 123897030 142652085 164930817 198489545 238187454 274884695 285304170 329861634 396979090 549769390 595468635 824654085 1036605151 1190937270 1649308170 2073210302 3109815453 5183025755 5992486351 6219630906 10366051510 11984972702 13799211689 15549077265 17977459053 27598423378 29962431755 31098154530 35954918106 41397635067 59924863510 68996058445 82795270134 89887295265 137992116890 179774590530 206988175335 413976350670 1504114074101 3008228148202 4512342222303 7520570370505 9024684444606 15041140741010 22561711111515 45123422223030