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114412224213 = 32723261167337
BaseRepresentation
bin110101010001101111…
…1111111111011010101
3101221022120210012010200
41222203133333323111
53333304012133323
6124321003011113
711160145600620
oct1524337777325
9357276705120
10114412224213
1144581799501
121a210509a99
13aa3464cc71
1457751a0db7
152e99648443
hex1aa37ffed5

114412224213 has 144 divisors (see below), whose sum is σ = 202477207296. Its totient is φ = 60960936960.

The previous prime is 114412224211. The next prime is 114412224281. The reversal of 114412224213 is 312422214411.

114412224213 is a `hidden beast` number, since 1 + 1 + 4 + 412 + 2 + 242 + 1 + 3 = 666.

It is not a de Polignac number, because 114412224213 - 21 = 114412224211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114412224211) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 339501981 + ... + 339502317.

Almost surely, 2114412224213 is an apocalyptic number.

It is an amenable number.

114412224213 is a deficient number, since it is larger than the sum of its proper divisors (88064983083).

114412224213 is a wasteful number, since it uses less digits than its factorization.

114412224213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 598 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 114412224213 its reverse (312422214411), we get a palindrome (426834438624).

The spelling of 114412224213 in words is "one hundred fourteen billion, four hundred twelve million, two hundred twenty-four thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 23 61 63 69 161 167 183 207 337 427 483 501 529 549 1011 1169 1281 1403 1449 1503 1587 2359 3033 3507 3703 3841 3843 4209 4761 7077 7751 9821 10187 10521 11109 11523 12627 20557 21231 23253 26887 29463 30561 32269 33327 34569 54257 56279 61671 69759 71309 80661 88343 88389 91683 96807 143899 162771 168837 178273 185013 213927 225883 234301 241983 265029 290421 393953 431697 472811 488313 506511 534819 618401 641781 677649 702903 795087 1181859 1247911 1294417 1295091 1418433 1604457 1640107 1855203 2032947 2108709 3309677 3433019 3545577 3743733 3883251 4255299 4920321 5388923 5565609 9060919 9929031 10299057 10874653 11231199 11649753 14760963 16166769 24031133 27182757 29771591 29787093 30897171 32623959 37722461 48500307 72093399 76122571 78959437 81548271 89314773 97871877 113167383 208401137 216280197 228367713 236878311 267944319 339502149 552716059 625203411 685103139 710634933 1658148177 1816067051 1875610233 4974444531 5448201153 12712469357 16344603459 38137408071 114412224213