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3102133104 = 243274765479
BaseRepresentation
bin1011100011100110…
…1100101101110000
322000012012200121200
42320321230231300
522323121224404
61231453251200
7136605460560
oct27071545560
98005180550
103102133104
111352089574
12726a93b00
133a58c3c25
14215dd0da0
1513251a839
hexb8e6cb70

3102133104 has 120 divisors (see below), whose sum is σ = 10133160960. Its totient is φ = 867452544.

The previous prime is 3102133087. The next prime is 3102133127. The reversal of 3102133104 is 4013312013.

3102133104 is a `hidden beast` number, since 310 + 21 + 331 + 0 + 4 = 666.

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

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, 14637 + ... + 80115.

It is an arithmetic number, because the mean of its divisors is an integer number (84443008).

Almost surely, 23102133104 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 3102133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066580480).

3102133104 is an abundant number, since it is smaller than the sum of its proper divisors (7031027856).

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

3102133104 is a wasteful number, since it uses less digits than its factorization.

3102133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65547 (or 65538 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3102133104 is about 55696.7961735682. The cubic root of 3102133104 is about 1458.4340976826.

Adding to 3102133104 its reverse (4013312013), we get a palindrome (7115445117).

The spelling of 3102133104 in words is "three billion, one hundred two million, one hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 47 48 56 63 72 84 94 112 126 141 144 168 188 252 282 329 336 376 423 504 564 658 752 846 987 1008 1128 1316 1692 1974 2256 2632 2961 3384 3948 5264 5922 6768 7896 11844 15792 23688 47376 65479 130958 196437 261916 392874 458353 523832 589311 785748 916706 1047664 1178622 1375059 1571496 1833412 2357244 2750118 3077513 3142992 3666824 4125177 4714488 5500236 6155026 7333648 8250354 9232539 9428976 11000472 12310052 16500708 18465078 21542591 22000944 24620104 27697617 33001416 36930156 43085182 49240208 55395234 64627773 66002832 73860312 86170364 110790468 129255546 147720624 172340728 193883319 221580936 258511092 344681456 387766638 443161872 517022184 775533276 1034044368 1551066552 3102133104