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12113120032 = 2513413132269
BaseRepresentation
bin10110100011111111…
…11000101100100000
31011021011222020212021
423101333320230200
5144301424320112
65321550111224
7606113551516
oct132177705440
934234866767
1012113120032
1151565a4402
1224207ab514
1311b0720060
1482ca664b6
154ad667907
hex2d1ff8b20

12113120032 has 96 divisors (see below), whose sum is σ = 26404222320. Its totient is φ = 5434490880.

The previous prime is 12113119927. The next prime is 12113120053. The reversal of 12113120032 is 23002131121.

It can be written as a sum of positive squares in 8 ways, for example, as 1296288016 + 10816832016 = 36004^2 + 104004^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12113119988 and 12113120015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5337394 + ... + 5339662.

Almost surely, 212113120032 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 12113120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13202111160).

12113120032 is an abundant number, since it is smaller than the sum of its proper divisors (14291102288).

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

12113120032 is a wasteful number, since it uses less digits than its factorization.

12113120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12113120032 its reverse (23002131121), we get a palindrome (35115251153).

The spelling of 12113120032 in words is "twelve billion, one hundred thirteen million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 313 328 416 533 626 656 1066 1252 1312 2132 2269 2504 4069 4264 4538 5008 8138 8528 9076 10016 12833 16276 17056 18152 25666 29497 32552 36304 51332 58994 65104 72608 93029 102664 117988 130208 166829 186058 205328 235976 333658 372116 410656 471952 667316 710197 744232 943904 1209377 1334632 1420394 1488464 2418754 2669264 2840788 2976928 4837508 5338528 5681576 9232561 9675016 11363152 18465122 19350032 22726304 29118077 36930244 38700064 58236154 73860488 116472308 147720976 232944616 295441952 378535001 465889232 757070002 931778464 1514140004 3028280008 6056560016 12113120032