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13330150152 = 23311478912071
BaseRepresentation
bin11000110101000100…
…11111001100001000
31021102000000210022220
430122202133030020
5204300004301102
610042423214040
7651222256344
oct143242371410
937360023286
1013330150152
115720582120
1227002a7320
1313458c7c17
1490654a624
155304191bc
hex31a89f308

13330150152 has 128 divisors (see below), whose sum is σ = 37548748800. Its totient is φ = 3908748800.

The previous prime is 13330150091. The next prime is 13330150153. The reversal of 13330150152 is 25105103331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13330150153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098277 + ... + 1110347.

It is an arithmetic number, because the mean of its divisors is an integer number (293349600).

Almost surely, 213330150152 is an apocalyptic number.

13330150152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13330150152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18774374400).

13330150152 is an abundant number, since it is smaller than the sum of its proper divisors (24218598648).

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

13330150152 is a wasteful number, since it uses less digits than its factorization.

13330150152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12227 (or 12223 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 13330150152 its reverse (25105103331), we get a palindrome (38435253483).

The spelling of 13330150152 in words is "thirteen billion, three hundred thirty million, one hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 89 94 132 141 178 188 264 267 282 356 376 517 534 564 712 979 1034 1068 1128 1551 1958 2068 2136 2937 3102 3916 4136 4183 5874 6204 7832 8366 11748 12071 12408 12549 16732 23496 24142 25098 33464 36213 46013 48284 50196 72426 92026 96568 100392 132781 138039 144852 184052 265562 276078 289704 368104 398343 531124 552156 567337 796686 1062248 1074319 1104312 1134674 1593372 1702011 2148638 2269348 3186744 3222957 3404022 4297276 4538696 6240707 6445914 6808044 8594552 11817509 12481414 12891828 13616088 18722121 23635018 24962828 25783656 35452527 37444242 47270036 49925656 50492993 70905054 74888484 94540072 100985986 141810108 149776968 151478979 201971972 283620216 302957958 403943944 555422923 605915916 1110845846 1211831832 1666268769 2221691692 3332537538 4443383384 6665075076 13330150152