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102213311213223 = 327229471097315497
BaseRepresentation
bin10111001111011001100100…
…000110110010111010100111
3111101220111102101211202111100
4113033121210012302322213
5101344130330132310343
61001220051423211143
730346445065063200
oct2717314406627247
9441814371752440
10102213311213223
112a628470536721
12b56975b146ab3
13450589b6c3ac2
141b352175a05a7
15bc3c096499d3
hex5cf6641b2ea7

102213311213223 has 144 divisors (see below), whose sum is σ = 181476883486080. Its totient is φ = 55185097024512.

The previous prime is 102213311213219. The next prime is 102213311213231. The reversal of 102213311213223 is 322312113312201.

102213311213223 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 3 + 311 + 21 + 322 + 3 = 666.

It is not a de Polignac number, because 102213311213223 - 22 = 102213311213219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213311213023) 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, 6595676011 + ... + 6595691507.

It is an arithmetic number, because the mean of its divisors is an integer number (1260256135320).

Almost surely, 2102213311213223 is an apocalyptic number.

102213311213223 is a deficient number, since it is larger than the sum of its proper divisors (79263572272857).

102213311213223 is a wasteful number, since it uses less digits than its factorization.

102213311213223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26566 (or 26556 counting only the distinct ones).

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

Adding to 102213311213223 its reverse (322312113312201), we get a palindrome (424525424525424).

The spelling of 102213311213223 in words is "one hundred two trillion, two hundred thirteen billion, three hundred eleven million, two hundred thirteen thousand, two hundred twenty-three".

Divisors: 1 3 7 9 21 29 47 49 63 87 141 147 203 261 329 423 441 609 987 1363 1421 1827 2303 2961 4089 4263 6909 9541 10973 12267 12789 15497 20727 28623 32919 46491 66787 76811 85869 98757 108479 139473 200361 230433 318217 325437 449413 515731 537677 601083 691299 728359 759353 954651 976311 1348239 1547193 1613031 2185077 2227519 2278059 2863953 3145891 3610117 4044717 4641579 4839093 5098513 6555231 6682557 6834177 9437673 10830351 14956199 15295539 15592633 20047671 21122411 22021237 25270819 28313019 32491053 35689591 44868597 45886617 46777899 63367233 66063711 75812457 104693393 107068773 134605791 140333697 147856877 170048581 190101699 198191133 227437371 314080179 321206319 443570631 510145743 732853751 942240537 1034998139 1190340067 1330711893 1530437229 2198561253 3104994417 3571020201 4931408849 6595683759 7992283307 8332380469 9314983251 10713060603 14794226547 23976849921 24997141407 34519861943 44382679641 55945983149 71930549763 74991424221 103559585829 167837949447 231776215903 241639033601 310678757487 391621882043 503513848341 695328647709 724917100803 1174865646129 1622433511321 2085985943127 2174751302409 3524596938387 4867300533963 11357034579247 14601901601889 34071103737741 102213311213223