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12114332332102 = 27111373137605051
BaseRepresentation
bin1011000001001001011001…
…1110011011000001000110
31120220010012122112100120001
42300102112132123001012
53041440123034111402
641433125240431514
72360142306546550
oct260222636330106
946803178470501
1012114332332102
113950728866170
121437a0947859a
1369b4b86195c0
142dc4a03044d0
151601c5537187
hexb049679b046

12114332332102 has 128 divisors (see below), whose sum is σ = 24912885408768. Its totient is φ = 4265747712000.

The previous prime is 12114332332049. The next prime is 12114332332163. The reversal of 12114332332102 is 20123323341121.

It is a super-3 number, since 3×121143323321023 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19719477 + ... + 20324527.

It is an arithmetic number, because the mean of its divisors is an integer number (194631917256).

Almost surely, 212114332332102 is an apocalyptic number.

12114332332102 is an abundant number, since it is smaller than the sum of its proper divisors (12798553076666).

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

12114332332102 is a wasteful number, since it uses less digits than its factorization.

12114332332102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605294.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 12114332332102 its reverse (20123323341121), we get a palindrome (32237655673223).

The spelling of 12114332332102 in words is "twelve trillion, one hundred fourteen billion, three hundred thirty-two million, three hundred thirty-two thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 73 77 91 137 143 146 154 182 274 286 511 803 949 959 1001 1022 1507 1606 1781 1898 1918 2002 3014 3562 5621 6643 10001 10439 10549 11242 12467 13286 19591 20002 20878 21098 24934 39182 70007 73073 110011 130013 137137 140014 146146 220022 260026 274274 605051 770077 910091 1210102 1430143 1540154 1820182 2860286 4235357 6655561 7865663 8470714 10011001 13311122 15731326 20022002 44168723 46588927 55059641 82891987 86522293 88337446 93177854 110119282 165783974 173044586 309181061 485855953 574193399 580243909 605656051 618362122 911811857 971711906 1077595831 1148386798 1160487818 1211312102 1823623714 2155191662 3400991671 4019353793 6051115051 6316127389 6382682999 6801983342 7543170817 8038707586 11853554141 12102230102 12632254778 12765365998 15086341634 23707108282 42357805357 44212891723 66562265561 78664495663 82974878987 84715610714 88425783446 133124531122 157328991326 165949757974 465935858927 550651469641 865309452293 931871717854 1101302939282 1730618904586 6057166166051 12114332332102