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3121124344 = 2313374173271
BaseRepresentation
bin1011101000001000…
…1001001111111000
322001111221112200221
42322002021033320
522343001434334
61233412305424
7140226055612
oct27202111770
98044845627
103121124344
11136187aa08
12731312274
133a9813150
14218735db2
1513401c8b4
hexba0893f8

3121124344 has 128 divisors (see below), whose sum is σ = 6746100480. Its totient is φ = 1343692800.

The previous prime is 3121124339. The next prime is 3121124389. The reversal of 3121124344 is 4434211213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11516929 + ... + 11517199.

It is an arithmetic number, because the mean of its divisors is an integer number (52703910).

Almost surely, 23121124344 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 3121124344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373050240).

3121124344 is an abundant number, since it is smaller than the sum of its proper divisors (3624976136).

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

3121124344 is a wasteful number, since it uses less digits than its factorization.

3121124344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 437 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 3121124344 is about 55867.0237617863. The cubic root of 3121124344 is about 1461.4042197726.

Adding to 3121124344 its reverse (4434211213), we get a palindrome (7555335557).

It can be divided in two parts, 31211 and 24344, that added together give a palindrome (55555).

The spelling of 3121124344 in words is "three billion, one hundred twenty-one million, one hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 37 41 52 73 74 82 104 146 148 164 271 292 296 328 481 533 542 584 949 962 1066 1084 1517 1898 1924 2132 2168 2701 2993 3034 3523 3796 3848 4264 5402 5986 6068 7046 7592 10027 10804 11111 11972 12136 14092 19721 19783 20054 21608 22222 23944 28184 35113 38909 39442 39566 40108 44444 70226 77818 78884 79132 80216 88888 110741 130351 140452 144443 155636 157768 158264 221482 257179 260702 280904 288886 311272 411107 442964 514358 521404 577772 731971 811103 822214 885928 1028716 1042808 1155544 1439633 1463942 1622206 1644428 2057432 2879266 2927884 3244412 3288856 5344391 5758532 5855768 6488824 9515623 10544339 10688782 11517064 19031246 21088678 21377564 30010811 38062492 42177356 42755128 60021622 76124984 84354712 120043244 240086488 390140543 780281086 1560562172 3121124344