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3120104124 = 223419748883
BaseRepresentation
bin1011100111111001…
…0000001010111100
322001110000201020000
42321332100022330
522342221312444
61233334354300
7140214306324
oct27176201274
98043021200
103120104124
111361243455
12730abb990
133a9546977
1421854c284
15133dba469
hexb9f902bc

3120104124 has 60 divisors (see below), whose sum is σ = 8198140104. Its totient is φ = 1034734176.

The previous prime is 3120104111. The next prime is 3120104137. The reversal of 3120104124 is 4214010213.

It is an interprime number because it is at equal distance from previous prime (3120104111) and next prime (3120104137).

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

It is a junction number, because it is equal to n+sod(n) for n = 3120104097 and 3120104106.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 39387 + ... + 88269.

Almost surely, 23120104124 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 3120104124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099070052).

3120104124 is an abundant number, since it is smaller than the sum of its proper divisors (5078035980).

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

3120104124 is a wasteful number, since it uses less digits than its factorization.

3120104124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49096 (or 49085 counting only the distinct ones).

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

The square root of 3120104124 is about 55857.8922266138. The cubic root of 3120104124 is about 1461.2449698645.

Adding to 3120104124 its reverse (4214010213), we get a palindrome (7334114337).

The spelling of 3120104124 in words is "three billion, one hundred twenty million, one hundred four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 197 324 394 591 788 1182 1773 2364 3546 5319 7092 10638 15957 21276 31914 48883 63828 97766 146649 195532 293298 439947 586596 879894 1319841 1759788 2639682 3959523 5279364 7919046 9629951 15838092 19259902 28889853 38519804 57779706 86669559 115559412 173339118 260008677 346678236 520017354 780026031 1040034708 1560052062 3120104124