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102214103442 = 231123162141539
BaseRepresentation
bin101111100110001101…
…1110111000110010010
3100202211110212110011220
41133030123313012102
53133313302302232
6114542334545510
710245650354403
oct1371433670622
9322743773156
10102214103442
113a392218860
1217987368296
13983c43b619
144d3912d9aa
1529d37e042c
hex17cc6f7192

102214103442 has 64 divisors (see below), whose sum is σ = 232857953280. Its totient is φ = 29608286400.

The previous prime is 102214103437. The next prime is 102214103471. The reversal of 102214103442 is 244301412201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2439909 + ... + 2481447.

It is an arithmetic number, because the mean of its divisors is an integer number (3638405520).

Almost surely, 2102214103442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102214103442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116428976640).

102214103442 is an abundant number, since it is smaller than the sum of its proper divisors (130643849838).

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

102214103442 is a wasteful number, since it uses less digits than its factorization.

102214103442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43199.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102214103442 its reverse (244301412201), we get a palindrome (346515515643).

The spelling of 102214103442 in words is "one hundred two billion, two hundred fourteen million, one hundred three thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1518 1621 3242 4863 9726 17831 35662 37283 41539 53493 74566 83078 106986 111849 124617 223698 249234 410113 456929 820226 913858 955397 1230339 1370787 1910794 2460678 2741574 2866191 5732382 10509367 21018734 31528101 63056202 67334719 134669438 202004157 404008314 740681909 1481363818 1548698537 2222045727 3097397074 4444091454 4646095611 9292191222 17035683907 34071367814 51107051721 102214103442