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1230210114 = 237374431787
BaseRepresentation
bin100100101010011…
…1000010001000010
310011201212011000120
41021110320101002
510004413210424
6322023401110
742325420260
oct11124702102
93151764016
101230210114
11581470081
122a3bb3196
13167b40ca3
14b9555430
1573006a79
hex49538442

1230210114 has 64 divisors (see below), whose sum is σ = 2896045056. Its totient is φ = 341025984.

The previous prime is 1230210097. The next prime is 1230210143. The reversal of 1230210114 is 4110120321.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1230210093 and 1230210102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687529 + ... + 689315.

It is an arithmetic number, because the mean of its divisors is an integer number (45250704).

Almost surely, 21230210114 is an apocalyptic number.

1230210114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230210114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448022528).

1230210114 is an abundant number, since it is smaller than the sum of its proper divisors (1665834942).

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

1230210114 is a wasteful number, since it uses less digits than its factorization.

1230210114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1230210114 is about 35074.3512270719. The cubic root of 1230210114 is about 1071.5022756510.

Adding to 1230210114 its reverse (4110120321), we get a palindrome (5340330435).

The spelling of 1230210114 in words is "one billion, two hundred thirty million, two hundred ten thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 443 518 777 886 1329 1554 1787 2658 3101 3574 5361 6202 9303 10722 12509 16391 18606 25018 32782 37527 49173 66119 75054 98346 114737 132238 198357 229474 344211 396714 462833 688422 791641 925666 1388499 1583282 2374923 2776998 4749846 5541487 11082974 16624461 29290717 33248922 58581434 87872151 175744302 205035019 410070038 615105057 1230210114