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3124121004 = 22322323915787
BaseRepresentation
bin1011101000110110…
…0100110110101100
322001201120210100100
42322031210312230
522344233333004
61234000431100
7140263406334
oct27215446654
98051523310
103124121004
111363537394
12732318490
133aa322114
14218cb60c4
15134410739
hexba364dac

3124121004 has 72 divisors (see below), whose sum is σ = 8275438080. Its totient is φ = 991865952.

The previous prime is 3124121003. The next prime is 3124121017. The reversal of 3124121004 is 4001214213.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3124121003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189999 + ... + 205785.

It is an arithmetic number, because the mean of its divisors is an integer number (114936640).

Almost surely, 23124121004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3124121004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137719040).

3124121004 is an abundant number, since it is smaller than the sum of its proper divisors (5151317076).

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

3124121004 is a wasteful number, since it uses less digits than its factorization.

3124121004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16059 (or 16054 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3124121004 is about 55893.8369053333. The cubic root of 3124121004 is about 1461.8717789243.

Adding to 3124121004 its reverse (4001214213), we get a palindrome (7125335217).

The spelling of 3124121004 in words is "three billion, one hundred twenty-four million, one hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 239 276 414 478 717 828 956 1434 2151 2868 4302 5497 8604 10994 15787 16491 21988 31574 32982 47361 49473 63148 65964 94722 98946 142083 189444 197892 284166 363101 568332 726202 1089303 1452404 2178606 3267909 3773093 4357212 6535818 7546186 11319279 13071636 15092372 22638558 33957837 45277116 67915674 86781139 135831348 173562278 260343417 347124556 520686834 781030251 1041373668 1562060502 3124121004