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2100234114 = 2321129499733
BaseRepresentation
bin111110100101111…
…0000011110000010
312102100221221120200
41331023300132002
513300124442424
6544223150030
7103021460346
oct17513603602
95370857520
102100234114
11988588a80
124a7445316
132761705a4
1415cd0b626
15c45b18c9
hex7d2f0782

2100234114 has 96 divisors (see below), whose sum is σ = 5152680000. Its totient is φ = 612420480.

The previous prime is 2100234107. The next prime is 2100234133. The reversal of 2100234114 is 4114320012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2864892 + ... + 2865624.

It is an arithmetic number, because the mean of its divisors is an integer number (53673750).

Almost surely, 22100234114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100234114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576340000).

2100234114 is an abundant number, since it is smaller than the sum of its proper divisors (3052445886).

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

2100234114 is a wasteful number, since it uses less digits than its factorization.

2100234114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2100234114 is about 45828.3112715273. The cubic root of 2100234114 is about 1280.6267507606.

Adding to 2100234114 its reverse (4114320012), we get a palindrome (6214554126).

The spelling of 2100234114 in words is "two billion, one hundred million, two hundred thirty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 499 522 638 733 957 998 1466 1497 1914 2199 2871 2994 4398 4491 5489 5742 6597 8063 8982 10978 13194 14471 16126 16467 21257 24189 28942 32934 42514 43413 48378 49401 63771 72567 86826 98802 127542 130239 145134 159181 191313 233827 260478 318362 365767 382626 467654 477543 701481 731534 955086 1097301 1402962 1432629 2104443 2194602 2865258 3291903 4023437 4208886 6583806 8046874 10607243 12070311 21214486 24140622 31821729 36210933 63643458 72421866 95465187 116679673 190930374 233359346 350039019 700078038 1050117057 2100234114