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2114116062111 = 332359137421177
BaseRepresentation
bin11110110000111011001…
…000110000101110011111
321111002220101100110002000
4132300323020300232133
5234114202202441421
64255113404133343
7305511524012424
oct36607310605637
97432811313060
102114116062111
11745656447319
122a1891237253
1312448b72b391
1474476599d4b
1539ed6624226
hex1ec3b230b9f

2114116062111 has 64 divisors (see below), whose sum is σ = 3347859686400. Its totient is φ = 1315605570048.

The previous prime is 2114116062109. The next prime is 2114116062119. The reversal of 2114116062111 is 1112606114112.

It is a happy number.

2114116062111 is a `hidden beast` number, since 2 + 1 + 1 + 41 + 1 + 606 + 2 + 1 + 11 = 666.

It is not a de Polignac number, because 2114116062111 - 21 = 2114116062109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114116062119) by changing a digit.

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, 4808955 + ... + 5230131.

It is an arithmetic number, because the mean of its divisors is an integer number (52310307600).

Almost surely, 22114116062111 is an apocalyptic number.

2114116062111 is a deficient number, since it is larger than the sum of its proper divisors (1233743624289).

2114116062111 is a wasteful number, since it uses less digits than its factorization.

2114116062111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421405 (or 421399 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 2114116062111 in words is "two trillion, one hundred fourteen billion, one hundred sixteen million, sixty-two thousand, one hundred eleven".

Divisors: 1 3 9 23 27 59 69 137 177 207 411 531 621 1233 1357 1593 3151 3699 4071 8083 9453 12213 24249 28359 36639 72747 85077 185909 218241 421177 557727 1263531 1673181 3790593 5019543 9687071 11371779 24849443 29061213 57701249 74548329 87183639 173103747 223644987 261550917 519311241 571537189 670934961 1327128727 1557933723 1714611567 3404373691 3981386181 5143834701 10213121073 11944158543 15431504103 30639363219 35832475629 78300594893 91918089657 234901784679 704705354037 2114116062111