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102212300333011 = 111721923149493793
BaseRepresentation
bin10111001111011000100111…
…110110100101111111010011
3111101220101210221200201112111
4113033120213312211333103
5101344121242341124021
61001215403232410151
730346411041535441
oct2717304766457723
9441811727621474
10102212300333011
112a627aa1961430
12b5695186a6957
13450576a14752b
141b3515d21db91
15bc3b9aa198e1
hex5cf627da5fd3

102212300333011 has 96 divisors (see below), whose sum is σ = 130977870912000. Its totient is φ = 78717239377920.

The previous prime is 102212300332999. The next prime is 102212300333023. The reversal of 102212300333011 is 110333003212201.

It is an interprime number because it is at equal distance from previous prime (102212300332999) and next prime (102212300333023).

It is not a de Polignac number, because 102212300333011 - 213 = 102212300324819 is a prime.

It is a super-2 number, since 2×1022123003330112 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102212300333411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206747331 + ... + 207241123.

It is an arithmetic number, because the mean of its divisors is an integer number (1364352822000).

Almost surely, 2102212300333011 is an apocalyptic number.

102212300333011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102212300333011 is a deficient number, since it is larger than the sum of its proper divisors (28765570578989).

102212300333011 is a wasteful number, since it uses less digits than its factorization.

102212300333011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494029 (or 494012 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 102212300333011 its reverse (110333003212201), we get a palindrome (212545303545212).

The spelling of 102212300333011 in words is "one hundred two trillion, two hundred twelve billion, three hundred million, three hundred thirty-three thousand, eleven".

Divisors: 1 11 17 19 23 149 187 209 253 289 323 391 437 1639 2533 2831 3179 3427 3553 4301 4807 5491 6647 7429 27863 31141 37697 43061 48127 58259 60401 65113 73117 81719 126293 473671 493793 529397 640849 716243 818159 990403 1106921 1389223 5431723 8394481 8999749 9382067 10894433 11357239 12176131 18817657 73575157 92339291 103202737 124929629 142706177 159495139 193073063 206994227 215787541 809326727 1250777669 1397927983 1569767947 1692228611 1754446529 2123803693 2373662951 2711417363 3282242071 3668388197 13758554359 15377207813 18614514721 21263220373 23764775711 28767886387 29825590993 32152343609 36104662781 40352270167 62362599349 233895424103 261412532821 316446750257 353675779699 404001187087 489054068579 546589841353 685988592839 4444013057957 5379594754369 6012488254883 9292027303001 102212300333011