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4212442124 = 2211909110531
BaseRepresentation
bin1111101100010100…
…1100010000001100
3101212120110020020222
43323011030100030
532111341121444
61533555130512
7206250111242
oct37305142014
911776406228
104212442124
1118718a5130
129968a3a38
13521944007
142bd654792
15199c3aeee
hexfb14c40c

4212442124 has 24 divisors (see below), whose sum is σ = 8043583296. Its totient is φ = 1914354000.

The previous prime is 4212442123. The next prime is 4212442127.

It is a happy number.

4212442124 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4212442093 and 4212442102.

It is not an unprimeable number, because it can be changed into a prime (4212442123) 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, 394739 + ... + 405269.

It is an arithmetic number, because the mean of its divisors is an integer number (335149304).

Almost surely, 24212442124 is an apocalyptic number.

4212442124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4212442124 is a deficient number, since it is larger than the sum of its proper divisors (3831141172).

4212442124 is a wasteful number, since it uses less digits than its factorization.

4212442124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19637 (or 19635 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

The square root of 4212442124 is about 64903.3290671596. The cubic root of 4212442124 is about 1615.0202879999.

It can be divided in two parts, 42124 and 42124, that added together give a palindrome (84248).

The spelling of 4212442124 in words is "four billion, two hundred twelve million, four hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 44 9091 10531 18182 21062 36364 42124 100001 115841 200002 231682 400004 463364 95737321 191474642 382949284 1053110531 2106221062 4212442124