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3124052124 = 2231719259719
BaseRepresentation
bin1011101000110101…
…0100000010011100
322001201110021212020
42322031110002130
522344224131444
61233555140140
7140263001454
oct27215240234
98051407766
103124052124
11136349a666
127322a4650
133aa2c996b
14218c98d64
151343ea119
hexba35409c

3124052124 has 144 divisors (see below), whose sum is σ = 8295436800. Its totient is φ = 911503872.

The previous prime is 3124052111. The next prime is 3124052147. The reversal of 3124052124 is 4212504213.

It is a super-2 number, since 2×31240521242 = 19519403346937822752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3124052094 and 3124052103.

It is a congruent 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, 4344637 + ... + 4345355.

It is an arithmetic number, because the mean of its divisors is an integer number (57607200).

Almost surely, 23124052124 is an apocalyptic number.

3124052124 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3124052124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147718400).

3124052124 is an abundant number, since it is smaller than the sum of its proper divisors (5171384676).

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

3124052124 is a wasteful number, since it uses less digits than its factorization.

3124052124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3124052124 is about 55893.2207338242. The cubic root of 3124052124 is about 1461.8610351591.

Adding to 3124052124 its reverse (4212504213), we get a palindrome (7336556337).

The spelling of 3124052124 in words is "three billion, one hundred twenty-four million, fifty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 59 68 76 102 114 118 177 204 228 236 323 354 361 646 708 719 722 969 1003 1083 1121 1292 1438 1444 1938 2006 2157 2166 2242 2876 3009 3363 3876 4012 4314 4332 4484 6018 6137 6726 8628 12036 12223 12274 13452 13661 18411 19057 21299 24446 24548 27322 36669 36822 38114 40983 42421 42598 48892 54644 57171 63897 73338 73644 76228 81966 84842 85196 114342 127263 127794 146676 163932 169684 228684 232237 254526 255588 259559 362083 464474 509052 519118 696711 721157 724166 778677 805999 928948 1038236 1086249 1393422 1442314 1448332 1557354 1611998 2163471 2172498 2417997 2786844 2884628 3114708 3223996 4326942 4344996 4412503 4835994 8653884 8825006 9671988 13237509 13701983 15313981 17650012 26475018 27403966 30627962 41105949 45941943 52950036 54807932 61255924 82211898 91883886 164423796 183767772 260337677 520675354 781013031 1041350708 1562026062 3124052124