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12100262144 = 28371277477
BaseRepresentation
bin10110100010011101…
…10101100100000000
31011020021210000011012
423101032311210000
5144240131342034
65320410340052
7605566350125
oct132116654400
934207700135
1012100262144
11514a312053
12241842a628
1311aab6a739
1482b07a74c
154ac477cce
hex2d13b5900

12100262144 has 36 divisors (see below), whose sum is σ = 24806067804. Its totient is φ = 5886609408.

The previous prime is 12100262143. The next prime is 12100262171. The reversal of 12100262144 is 44126200121.

It can be written as a sum of positive squares in 2 ways, for example, as 10792716544 + 1307545600 = 103888^2 + 36160^2 .

It is not an unprimeable number, because it can be changed into a prime (12100262143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 629267 + ... + 648210.

It is an arithmetic number, because the mean of its divisors is an integer number (689057439).

Almost surely, 212100262144 is an apocalyptic number.

It is an amenable number.

12100262144 is an abundant number, since it is smaller than the sum of its proper divisors (12705805660).

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

12100262144 is an equidigital number, since it uses as much as digits as its factorization.

12100262144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277530 (or 1277516 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 12100262144 its reverse (44126200121), we get a palindrome (56226462265).

It can be divided in two parts, 12100 and 262144, that multiplied together give a square (3171942400 = 563202).

The spelling of 12100262144 in words is "twelve billion, one hundred million, two hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 2368 4736 9472 1277477 2554954 5109908 10219816 20439632 40879264 47266649 81758528 94533298 163517056 189066596 327034112 378133192 756266384 1512532768 3025065536 6050131072 12100262144