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33030311132 = 227132192315973
BaseRepresentation
bin11110110000110000…
…101000110011011100
310011020221100122202202
4132300300220303130
51020121224424012
623101322111032
72246344004120
oct366060506334
9104227318682
1033030311132
111300a8276a5
12649994b478
133165130100
141854aa1580
15cd4ba8cc2
hex7b0c28cdc

33030311132 has 144 divisors (see below), whose sum is σ = 78576744960. Its totient is φ = 11840235264.

The previous prime is 33030311131. The next prime is 33030311141. The reversal of 33030311132 is 23111303033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33030311131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2059898 + ... + 2075870.

It is an arithmetic number, because the mean of its divisors is an integer number (545671840).

Almost surely, 233030311132 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 33030311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39288372480).

33030311132 is an abundant number, since it is smaller than the sum of its proper divisors (45546433828).

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

33030311132 is a wasteful number, since it uses less digits than its factorization.

33030311132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16052 (or 16037 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 33030311132 its reverse (23111303033), we get a palindrome (56141614165).

The spelling of 33030311132 in words is "thirty-three billion, thirty million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 19 23 26 28 38 46 52 76 91 92 133 161 169 182 247 266 299 322 338 364 437 494 532 598 644 676 874 988 1183 1196 1729 1748 2093 2366 3059 3211 3458 3887 4186 4732 5681 6118 6422 6916 7774 8372 11362 12236 12844 15548 15973 22477 22724 27209 31946 39767 44954 54418 63892 73853 79534 89908 108836 111811 147706 159068 207649 223622 295412 303487 367379 415298 447244 516971 606974 734758 830596 1033942 1213948 1453543 1469516 2067884 2124409 2571653 2699437 2907086 3945331 4248818 4775927 5143306 5398874 5814172 6980201 7890662 8497636 9551854 10286612 10797748 13960402 15781324 18896059 19103708 27617317 27920804 33431489 37792118 48861407 51289303 55234634 62087051 66862978 75584236 90742613 97722814 102578606 110469268 124174102 133725956 181485226 195445628 205157212 248348204 359025121 362970452 434609357 635198291 718050242 869218714 1179653969 1270396582 1436100484 1738437428 2359307938 2540793164 4718615876 8257577783 16515155566 33030311132