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31121121213 = 34713171012459
BaseRepresentation
bin11100111110111101…
…101001111110111101
32222022212212202120000
4130332331221332331
51002214001334323
622144041344513
72151132110550
oct347675517675
988285782500
1031121121213
1112220074a96
126046498139
132c1c72c630
1417132c4697
15c22282e43
hex73ef69fbd

31121121213 has 160 divisors (see below), whose sum is σ = 61208421120. Its totient is φ = 15290726400.

The previous prime is 31121121211. The next prime is 31121121223. The reversal of 31121121213 is 31212112113.

31121121213 is a `hidden beast` number, since 311 + 21 + 121 + 213 = 666.

It is not a de Polignac number, because 31121121213 - 21 = 31121121211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31121121211) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12654778 + ... + 12657236.

It is an arithmetic number, because the mean of its divisors is an integer number (382552632).

Almost surely, 231121121213 is an apocalyptic number.

It is an amenable number.

31121121213 is a deficient number, since it is larger than the sum of its proper divisors (30087299907).

31121121213 is a wasteful number, since it uses less digits than its factorization.

31121121213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609 (or 2600 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 31121121213 its reverse (31212112113), we get a palindrome (62333233326).

The spelling of 31121121213 in words is "thirty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 3 7 9 13 17 21 27 39 51 63 81 91 101 117 119 153 189 221 273 303 351 357 459 567 663 707 819 909 1053 1071 1313 1377 1547 1717 1989 2121 2457 2459 2727 3213 3939 4641 5151 5967 6363 7371 7377 8181 9191 9639 11817 12019 13923 15453 17213 17901 19089 22131 22321 27573 31967 35451 36057 41769 41803 46359 51639 57267 66393 66963 82719 95901 106353 108171 125307 125409 139077 154917 156247 199179 200889 223769 248157 248359 287703 292621 324513 376227 464751 468741 543439 602667 671307 744471 745077 863109 877863 973539 1128681 1394253 1406223 1630317 1738513 1808001 2013921 2235231 2589327 2633589 3228667 3386043 3804073 4218669 4222103 4890951 5215539 6041763 6705693 7900767 9686001 11412219 12656007 12666309 14672853 15646617 18125289 20117079 22600669 23702301 29058003 29554721 34236657 37998927 44018559 46939851 54887339 67802007 87174009 88664163 102709971 113996781 140819553 164662017 203406021 261522027 265992489 308129913 341990343 384211373 493986051 610218063 797977467 1152634119 1481958153 1830654189 2393932401 3457902357 4445874459 10373707071 31121121213