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4100135214 = 2371031496361
BaseRepresentation
bin1111010001100011…
…0001100100101110
3101120202010110010210
43310120301210232
531344113311324
61514504043250
7203414400660
oct36430614456
911522113123
104100135214
1118144682aa
12965163526
135045b1916
142ac77c530
1518ee54d29
hexf463192e

4100135214 has 64 divisors (see below), whose sum is σ = 9527731200. Its totient is φ = 1152126720.

The previous prime is 4100135213. The next prime is 4100135239. The reversal of 4100135214 is 4125310014.

4100135214 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41001352142 = 33622217546165651592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100135213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641394 + ... + 647754.

It is an arithmetic number, because the mean of its divisors is an integer number (148870800).

Almost surely, 24100135214 is an apocalyptic number.

4100135214 is an abundant number, since it is smaller than the sum of its proper divisors (5427595986).

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

4100135214 is a wasteful number, since it uses less digits than its factorization.

4100135214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6625.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 4100135214 is about 64032.2982095755. The cubic root of 4100135214 is about 1600.5382582264.

Adding to 4100135214 its reverse (4125310014), we get a palindrome (8225445228).

The spelling of 4100135214 in words is "four billion, one hundred million, one hundred thirty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 103 149 206 298 309 447 618 721 894 1043 1442 2086 2163 3129 4326 6258 6361 12722 15347 19083 30694 38166 44527 46041 89054 92082 107429 133581 214858 267162 322287 644574 655183 947789 1310366 1895578 1965549 2843367 3931098 4586281 5686734 6634523 9172562 13269046 13758843 19903569 27517686 39807138 97622267 195244534 292866801 585733602 683355869 1366711738 2050067607 4100135214