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12022102222102 = 2729972513793209
BaseRepresentation
bin1010111011110001110100…
…1000011110010100010110
31120120022010222022022122001
42232330131020132110112
53033432231132101402
641322513313225514
72350365620546560
oct256743510362426
946508128268561
1012022102222102
1139155aa31a465
121421b6986229a
136928aa78290b
142d7c3116c330
1515cac84e2187
hexaef1d21e516

12022102222102 has 128 divisors (see below), whose sum is σ = 21689410176000. Its totient is φ = 4889299968000.

The previous prime is 12022102222093. The next prime is 12022102222127. The reversal of 12022102222102 is 20122220122021.

It is a super-2 number, since 2×120221022221022 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12022102222102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3746368674 + ... + 3746371882.

It is an arithmetic number, because the mean of its divisors is an integer number (169448517000).

Almost surely, 212022102222102 is an apocalyptic number.

12022102222102 is a deficient number, since it is larger than the sum of its proper divisors (9667307953898).

12022102222102 is a wasteful number, since it uses less digits than its factorization.

12022102222102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 12022102222102 its reverse (20122220122021), we get a palindrome (32144322344123).

The spelling of 12022102222102 in words is "twelve trillion, twenty-two billion, one hundred two million, two hundred twenty-two thousand, one hundred two".

Divisors: 1 2 7 14 29 58 97 194 203 251 379 406 502 679 758 1358 1757 2653 2813 3209 3514 5306 5626 6418 7279 10991 14558 19691 21982 22463 24347 36763 39382 44926 48694 50953 73526 76937 93061 95129 101906 153874 170429 186122 190258 257341 311273 340858 514682 622546 651427 665903 706063 805459 1066127 1216211 1302854 1331806 1412126 1610918 2132254 2178911 2432422 2758741 4357822 4942441 5517482 5638213 7462889 8513477 9026917 9227513 9884882 11276426 14925778 17026954 18053834 18455026 19311187 23358311 35270119 38622374 46716622 63188419 64592591 70540238 78129523 117972467 126376838 129185182 156259046 163508177 235944934 246890833 267597877 305268961 327016354 493781666 535195754 546906661 610537922 825807269 1093813322 1651614538 1873185139 2136882727 2265756167 3421201543 3746370278 4273765454 4531512334 6842403086 8852799869 15860293169 17705599738 23948410801 29611089217 31720586338 47896821602 59222178434 61969599083 123939198166 207277624519 414555249038 858721587293 1717443174586 6011051111051 12022102222102