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4100131323 = 324191112197
BaseRepresentation
bin1111010001100011…
…0000100111111011
3101120202010020210200
43310120300213323
531344113200243
61514504013243
7203414353431
oct36430604773
911522106720
104100131323
111814465392
12965161223
135045acc12
142ac77ad51
1518ee53ad3
hexf46309fb

4100131323 has 24 divisors (see below), whose sum is σ = 6074018496. Its totient is φ = 2663606400.

The previous prime is 4100131291. The next prime is 4100131333. The reversal of 4100131323 is 3231310014.

It is not a de Polignac number, because 4100131323 - 25 = 4100131291 is a prime.

It is a super-2 number, since 2×41001313232 = 33622153731691460658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4100131296 and 4100131305.

It is not an unprimeable number, because it can be changed into a prime (4100131333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330061 + ... + 342257.

It is an arithmetic number, because the mean of its divisors is an integer number (253084104).

Almost surely, 24100131323 is an apocalyptic number.

4100131323 is a deficient number, since it is larger than the sum of its proper divisors (1973887173).

4100131323 is a wasteful number, since it uses less digits than its factorization.

4100131323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13155 (or 13152 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 4100131323 is about 64032.2678264639. The cubic root of 4100131323 is about 1600.5377519263.

Adding to 4100131323 its reverse (3231310014), we get a palindrome (7331441337).

The spelling of 4100131323 in words is "four billion, one hundred million, one hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 3 9 41 123 369 911 2733 8199 12197 36591 37351 109773 112053 336159 500077 1500231 4500693 11111467 33334401 100003203 455570147 1366710441 4100131323