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3121436124 = 2232618915971
BaseRepresentation
bin1011101000001101…
…0101010111011100
322001112112101101100
42322003111113130
522343041423444
61233423113100
7140231524602
oct27203252734
98045471340
103121436124
111361a73184
12731442790
133a98c2031
142187b7872
1513407ee69
hexba0d55dc

3121436124 has 72 divisors (see below), whose sum is σ = 8110262160. Its totient is φ = 1011859200.

The previous prime is 3121436111. The next prime is 3121436179. The reversal of 3121436124 is 4216341213.

It is a happy number.

3121436124 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 43 + 612 + 4 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 187459 + ... + 203429.

It is an arithmetic number, because the mean of its divisors is an integer number (112642530).

Almost surely, 23121436124 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 3121436124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055131080).

3121436124 is an abundant number, since it is smaller than the sum of its proper divisors (4988826036).

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

3121436124 is a wasteful number, since it uses less digits than its factorization.

3121436124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16131 (or 16126 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3121436124 is about 55869.8140680636. The cubic root of 3121436124 is about 1461.4528797411.

Adding to 3121436124 its reverse (4216341213), we get a palindrome (7337777337).

The spelling of 3121436124 in words is "three billion, one hundred twenty-one million, four hundred thirty-six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 89 122 178 183 244 267 356 366 534 549 732 801 1068 1098 1602 2196 3204 5429 10858 15971 16287 21716 31942 32574 47913 48861 63884 65148 95826 97722 143739 191652 195444 287478 574956 974231 1421419 1948462 2842838 2922693 3896924 4264257 5685676 5845386 8528514 8768079 11690772 12792771 17057028 17536158 25585542 35072316 51171084 86706559 173413118 260119677 346826236 520239354 780359031 1040478708 1560718062 3121436124