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252144451221 = 3132329431731303
BaseRepresentation
bin1110101011010011111…
…0101111111010010101
3220002211101021021011120
43222310332233322111
513112342434414341
6311500014354153
724134242321065
oct3526476577225
9802741237146
10252144451221
1197a2aa73193
1240a4a7bb959
131aa14441640
14c2bd54d3a5
15685b212066
hex3ab4fafe95

252144451221 has 128 divisors (see below), whose sum is σ = 402531655680. Its totient is φ = 139053100032.

The previous prime is 252144451147. The next prime is 252144451277. The reversal of 252144451221 is 122154441252.

It is not a de Polignac number, because 252144451221 - 211 = 252144449173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252144451421) 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, 193510056 + ... + 193511358.

It is an arithmetic number, because the mean of its divisors is an integer number (3144778560).

Almost surely, 2252144451221 is an apocalyptic number.

It is an amenable number.

252144451221 is a deficient number, since it is larger than the sum of its proper divisors (150387204459).

252144451221 is a wasteful number, since it uses less digits than its factorization.

252144451221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587.

The product of its digits is 25600, while the sum is 33.

Adding to 252144451221 its reverse (122154441252), we get a palindrome (374298892473).

The spelling of 252144451221 in words is "two hundred fifty-two billion, one hundred forty-four million, four hundred fifty-one thousand, two hundred twenty-one".

Divisors: 1 3 13 23 29 39 43 69 87 129 173 299 377 519 559 667 897 989 1131 1247 1303 1677 2001 2249 2967 3741 3909 3979 5017 6747 7439 8671 11937 12857 15051 16211 16939 22317 26013 28681 29969 37787 38571 48633 50817 51727 56029 65221 86043 89907 96707 113361 115391 155181 168087 171097 195663 215731 225419 290121 346173 372853 389597 491231 513291 647193 676257 728377 869101 1118559 1168791 1288667 1473693 1500083 1624841 2185131 2224261 2607303 2804503 2930447 3866001 4500249 4874523 4961813 5184637 6537151 6672783 8413509 8791341 9693017 11298313 14885439 15553911 16752671 19611453 21122933 29079051 33894939 37371343 50258013 63368799 64503569 67400281 84982963 112114029 126009221 150354473 193510707 202200843 222939391 254948889 281097493 378027663 451063419 485827459 668818173 843292479 1457482377 1954608149 2898212083 3654267409 5863824447 6465242339 8694636249 10962802227 19395727017 84048150407 252144451221