Search a number
-
+
3103311204 = 223574310607
BaseRepresentation
bin1011100011111000…
…1100010101100100
322000021102112200000
42320332030111210
522323421424304
61231534421300
7136621465350
oct27076142544
98007375600
103103311204
111352813704
12727361830
133a5c17226
1421621a460
1513269e939
hexb8f8c564

3103311204 has 144 divisors (see below), whose sum is σ = 9514272768. Its totient is φ = 865958688.

The previous prime is 3103311193. The next prime is 3103311209. The reversal of 3103311204 is 4021133013.

3103311204 is a `hidden beast` number, since 310 + 331 + 1 + 20 + 4 = 666.

3103311204 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (3103311209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287269 + ... + 297875.

Almost surely, 23103311204 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 3103311204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757136384).

3103311204 is an abundant number, since it is smaller than the sum of its proper divisors (6410961564).

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

3103311204 is a wasteful number, since it uses less digits than its factorization.

3103311204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10676 (or 10662 counting only the distinct ones).

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

The square root of 3103311204 is about 55707.3711819181. The cubic root of 3103311204 is about 1458.6186979445.

Adding to 3103311204 its reverse (4021133013), we get a palindrome (7124444217).

The spelling of 3103311204 in words is "three billion, one hundred three million, three hundred eleven thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 81 84 86 108 126 129 162 172 189 243 252 258 301 324 378 387 486 516 567 602 756 774 903 972 1134 1161 1204 1548 1701 1806 2268 2322 2709 3402 3483 3612 4644 5418 6804 6966 8127 10449 10607 10836 13932 16254 20898 21214 24381 31821 32508 41796 42428 48762 63642 73143 74249 95463 97524 127284 146286 148498 190926 222747 286389 292572 296996 381852 445494 456101 572778 668241 859167 890988 912202 1145556 1336482 1368303 1718334 1824404 2004723 2577501 2672964 2736606 3192707 3436668 4009446 4104909 5155002 5473212 6014169 6385414 8018892 8209818 9578121 10310004 12028338 12314727 12770828 16419636 18042507 19156242 24056676 24629454 28734363 36085014 36944181 38312484 49258908 57468726 72170028 73888362 86203089 110832543 114937452 147776724 172406178 221665086 258609267 344812356 443330172 517218534 775827801 1034437068 1551655602 3103311204