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4101214120 = 235173592661
BaseRepresentation
bin1111010001110011…
…1000111110101000
3101120211011021010021
43310130320332220
531344402322440
61514543130224
7203426513323
oct36434707650
911524137107
104101214120
111815034963
129655a3974
1350489ba23
142ac97d7ba
151900b984a
hexf4738fa8

4101214120 has 32 divisors (see below), whose sum is σ = 9281086920. Its totient is φ = 1631000320.

The previous prime is 4101214097. The next prime is 4101214121. The reversal of 4101214120 is 214121014.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4071205636 + 30008484 = 63806^2 + 5478^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4101214094 and 4101214103.

It is not an unprimeable number, because it can be changed into a prime (4101214121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289411 + ... + 303250.

Almost surely, 24101214120 is an apocalyptic number.

4101214120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4101214120 is an abundant number, since it is smaller than the sum of its proper divisors (5179872800).

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

4101214120 is a wasteful number, since it uses less digits than its factorization.

4101214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592845 (or 592841 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 4101214120 is about 64040.7223569503. The cubic root of 4101214120 is about 1600.6786339942.

Adding to 4101214120 its reverse (214121014), we get a palindrome (4315335134).

The spelling of 4101214120 in words is "four billion, one hundred one million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 173 346 692 865 1384 1730 3460 6920 592661 1185322 2370644 2963305 4741288 5926610 11853220 23706440 102530353 205060706 410121412 512651765 820242824 1025303530 2050607060 4101214120