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214016430105 = 32523789199921
BaseRepresentation
bin1100011101010001011…
…1111001000000011001
3202110102011200002221100
43013110113321000121
512001301201230410
6242152350502013
721314345432502
oct3072427710031
9673364602840
10214016430105
1182844771635
1235589804909
13172491615ba
14a503833ba9
155878c508c0
hex31d45f9019

214016430105 has 24 divisors (see below), whose sum is σ = 370979261640. Its totient is φ = 114136727040.

The previous prime is 214016430077. The next prime is 214016430109. The reversal of 214016430105 is 501034610412.

It is a happy number.

214016430105 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 1 + 643 + 0 + 10 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6979599936 + 207036830169 = 83544^2 + 455013^2 .

It is not a de Polignac number, because 214016430105 - 215 = 214016397337 is a prime.

It is a super-2 number, since 2×2140164301052 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214016430109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 970545 + ... + 1170465.

It is an arithmetic number, because the mean of its divisors is an integer number (15457469235).

Almost surely, 2214016430105 is an apocalyptic number.

It is an amenable number.

214016430105 is a deficient number, since it is larger than the sum of its proper divisors (156962831535).

214016430105 is a wasteful number, since it uses less digits than its factorization.

214016430105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223721 (or 223718 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 214016430105 in words is "two hundred fourteen billion, sixteen million, four hundred thirty thousand, one hundred five".

Divisors: 1 3 5 9 15 45 23789 71367 118945 199921 214101 356835 599763 999605 1070505 1799289 2998815 8996445 4755920669 14267762007 23779603345 42803286021 71338810035 214016430105