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213121223101332 = 2232713179363437533
BaseRepresentation
bin110000011101010100100110…
…110011000000101110010100
31000221121012010110210011221200
4300131110212303000232110
5210413234231103220312
62033134312133512500
762614333404413550
oct6035244663005624
91027535113704850
10213121223101332
11619a8226422307
121baa03a24a2730
1391bc325653a50
143a8b19d5b6860
151998b8ac7c0dc
hexc1d526cc0b94

213121223101332 has 144 divisors (see below), whose sum is σ = 666747962375040. Its totient is φ = 55893784921344.

The previous prime is 213121223101331. The next prime is 213121223101349. The reversal of 213121223101332 is 233101322121312.

213121223101332 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 2 + 1 + 223 + 101 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 213121223101296 and 213121223101305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213121223101331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181132363 + ... + 182305170.

It is an arithmetic number, because the mean of its divisors is an integer number (4630194183160).

Almost surely, 2213121223101332 is an apocalyptic number.

It is an amenable number.

213121223101332 is an abundant number, since it is smaller than the sum of its proper divisors (453626739273708).

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

213121223101332 is a wasteful number, since it uses less digits than its factorization.

213121223101332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363437742 (or 363437737 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 213121223101332 its reverse (233101322121312), we get a palindrome (446222545222644).

The spelling of 213121223101332 in words is "two hundred thirteen trillion, one hundred twenty-one billion, two hundred twenty-three million, one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 179 182 234 252 273 358 364 468 537 546 716 819 1074 1092 1253 1611 1638 2148 2327 2506 3222 3276 3759 4654 5012 6444 6981 7518 9308 11277 13962 15036 16289 20943 22554 27924 32578 41886 45108 48867 65156 83772 97734 146601 195468 293202 586404 363437533 726875066 1090312599 1453750132 2180625198 2544062731 3270937797 4361250396 4724687929 5088125462 6541875594 7632188193 9449375858 10176250924 13083751188 14174063787 15264376386 18898751716 22896564579 28348127574 30528752772 33072815503 42522191361 45793129158 56696255148 65055318407 66145631006 85044382722 91586258316 99218446509 130110636814 132291262012 170088765444 195165955221 198436893018 260221273628 297655339527 390331910442 396873786036 455387228849 585497865663 595310679054 780663820884 845719139291 910774457698 1170995731326 1190621358108 1366161686547 1691438278582 1821548915396 2341991462652 2537157417873 2732323373094 3382876557164 4098485059641 5074314835746 5464646746188 5920033975037 7611472253619 8196970119282 10148629671492 11840067950074 15222944507238 16393940238564 17760101925111 23680135900148 30445889014476 35520203850222 53280305775333 71040407700444 106560611550666 213121223101332