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321214430130132 = 2237211192613794471
BaseRepresentation
bin100100100001001001001000…
…0000000010010111111010100
31120010022210120220221202200110
41021002102100000102333110
5314100234123103131012
63055055512210443020
7124441656010345200
oct11102222000227724
91503283526852613
10321214430130132
1193392302846a30
1230039612893470
1310a30510742c96
145946c0b85db00
1527207d017973c
hex1242490012fd4

321214430130132 has 144 divisors (see below), whose sum is σ = 1001187834554880. Its totient is φ = 79041144772800.

The previous prime is 321214430130059. The next prime is 321214430130193. The reversal of 321214430130132 is 231031034412123.

It is a self number, because there is not a number n which added to its sum of digits gives 321214430130132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1306774344 + ... + 1307020127.

It is an arithmetic number, because the mean of its divisors is an integer number (6952693295520).

Almost surely, 2321214430130132 is an apocalyptic number.

It is an amenable number.

321214430130132 is an abundant number, since it is smaller than the sum of its proper divisors (679973404424748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321214430130132 is a wasteful number, since it uses less digits than its factorization.

321214430130132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613794522 (or 2613794513 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 321214430130132 its reverse (231031034412123), we get a palindrome (552245464542255).

The spelling of 321214430130132 in words is "three hundred twenty-one trillion, two hundred fourteen billion, four hundred thirty million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 49 57 66 76 77 84 98 114 132 133 147 154 196 209 228 231 266 294 308 399 418 462 532 539 588 627 798 836 924 931 1078 1254 1463 1596 1617 1862 2156 2508 2793 2926 3234 3724 4389 5586 5852 6468 8778 10241 11172 17556 20482 30723 40964 61446 122892 2613794471 5227588942 7841383413 10455177884 15682766826 18296561297 28751739181 31365533652 36593122594 49662094949 54889683891 57503478362 73186245188 86255217543 99324189898 109779367782 115006956724 128075929079 148986284847 172510435086 198648379796 201262174267 219558735564 256151858158 297972569694 345020870172 347634664643 384227787237 402524348534 512303716316 546283044439 595945139388 603786522801 695269329286 768455574474 805048697068 1042903993929 1092566088878 1207573045602 1390538658572 1408835219869 1536911148948 1638849133317 2085807987858 2185132177756 2415146091204 2433442652501 2817670439738 3277698266634 3823981311073 4171615975716 4226505659607 4866885305002 5635340879476 6555396533268 7300327957503 7647962622146 8453011319214 9733770610004 11471943933219 14600655915006 15295925244292 16906022638428 22943887866438 26767869177511 29201311830012 45887775732876 53535738355022 80303607532533 107071476710044 160607215065066 321214430130132