Search a number
-
+
224032121313 = 371113314751203
BaseRepresentation
bin1101000010100101011…
…0101110000111100001
3210102021011221221100120
43100221112232013201
512132304210340223
6250530253510453
722120503416430
oct3205126560741
9712234857316
10224032121313
1187014323690
1237503aa2429
1318184183bc0
14abb3abd117
155c631acbe3
hex34295ae1e1

224032121313 has 128 divisors (see below), whose sum is σ = 422818873344. Its totient is φ = 101748614400.

The previous prime is 224032121293. The next prime is 224032121351. The reversal of 224032121313 is 313121230422.

It is not a de Polignac number, because 224032121313 - 28 = 224032121057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (224032121413) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4349770 + ... + 4400972.

It is an arithmetic number, because the mean of its divisors is an integer number (3303272448).

Almost surely, 2224032121313 is an apocalyptic number.

It is an amenable number.

224032121313 is a deficient number, since it is larger than the sum of its proper divisors (198786752031).

224032121313 is a wasteful number, since it uses less digits than its factorization.

224032121313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51315.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 224032121313 its reverse (313121230422), we get a palindrome (537153351735).

The spelling of 224032121313 in words is "two hundred twenty-four billion, thirty-two million, one hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 7 11 13 21 31 33 39 47 77 91 93 141 143 217 231 273 329 341 403 429 517 611 651 987 1001 1023 1209 1457 1551 1833 2387 2821 3003 3619 4277 4371 4433 6721 7161 8463 10199 10857 12831 13299 16027 18941 20163 30597 31031 47047 48081 51203 56823 93093 112189 132587 141141 153609 208351 336567 358421 397761 563233 625053 665639 1075263 1458457 1587293 1689699 1996917 2406541 3942631 4375371 4659473 4761879 7219623 7322029 11111051 11827893 13978419 16845787 17460223 20634809 21966087 26471951 31285033 33333153 50537361 51254203 52380669 61904427 74602771 79415853 93855099 122221561 144443663 153762609 185303657 218995231 223808313 226982899 344135363 366664683 433330989 522219397 555910971 656985693 680948697 820630481 969836023 1032406089 1566658191 1588880293 2408947541 2461891443 2909508069 4766640879 5744413367 6788852161 7226842623 10668196253 17233240101 20366556483 32004588759 74677373771 224032121313