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212323333131 = 337133721111069
BaseRepresentation
bin1100010110111101110…
…1001111010000001011
3202022001011210212112000
43011233131033100023
511434314233130011
6241312345522043
721224366360640
oct3055735172013
9668034725460
10212323333131
1182055a93838
12351967a3323
1317039461080
14a3c2a27dc7
1557ca2b2356
hex316f74f40b

212323333131 has 128 divisors (see below), whose sum is σ = 399526041600. Its totient is φ = 108441607680.

The previous prime is 212323333129. The next prime is 212323333147. The reversal of 212323333131 is 131333323212.

212323333131 is a `hidden beast` number, since 2 + 1 + 2 + 323 + 3 + 331 + 3 + 1 = 666.

It is not a de Polignac number, because 212323333131 - 21 = 212323333129 is a prime.

It is a super-2 number, since 2×2123233331312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212323333095 and 212323333104.

It is not an unprimeable number, because it can be changed into a prime (212323333171) 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, 19176265 + ... + 19187333.

It is an arithmetic number, because the mean of its divisors is an integer number (3121297200).

Almost surely, 2212323333131 is an apocalyptic number.

212323333131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212323333131 is a deficient number, since it is larger than the sum of its proper divisors (187202708469).

212323333131 is a wasteful number, since it uses less digits than its factorization.

212323333131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11346 (or 11340 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 212323333131 its reverse (131333323212), we get a palindrome (343656656343).

The spelling of 212323333131 in words is "two hundred twelve billion, three hundred twenty-three million, three hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 13 21 27 37 39 63 91 111 117 189 211 259 273 333 351 481 633 777 819 999 1443 1477 1899 2331 2457 2743 3367 4329 4431 5697 6993 7807 8229 10101 11069 12987 13293 19201 23421 24687 30303 33207 39879 54649 57603 70263 74061 77483 90909 99621 101491 143897 163947 172809 210789 232449 298863 304473 409553 431691 491841 518427 697347 710437 913419 1007279 1228659 1295073 1475523 2092041 2131311 2335559 2740257 2866871 3021837 3685977 3885219 5324189 6393933 7006677 8600613 9065511 11057931 15972567 16348913 19181799 21020031 25801839 27196533 30362267 37269323 47917701 49046739 63060093 77405517 86415683 91086801 111807969 143753103 147140217 212535869 259247049 273260403 335423907 441420651 604909781 637607607 777741147 819781209 1006271721 1123403879 1814729343 1912822821 2333223441 3370211637 5444188029 5738468463 7863827153 10110634911 16332564087 23591481459 30331904733 70774444377 212323333131