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3241101312 = 211321011741
BaseRepresentation
bin1100000100101111…
…0100100000000000
322100212201000011100
43001023310200000
523114210220222
61253340014400
7143213622651
oct30113644000
98325630140
103241101312
111413576429
12765531400
133c862c737
1422a647528
1513e81b4ac
hexc12f4800

3241101312 has 144 divisors (see below), whose sum is σ = 9459007740. Its totient is φ = 1069056000.

The previous prime is 3241101271. The next prime is 3241101317. The reversal of 3241101312 is 2131011423.

It can be written as a sum of positive squares in 2 ways, for example, as 3218973696 + 22127616 = 56736^2 + 4704^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (3241101317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1860762 + ... + 1862502.

Almost surely, 23241101312 is an apocalyptic number.

3241101312 is a gapful number since it is divisible by the number (32) 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 3241101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729503870).

3241101312 is an abundant number, since it is smaller than the sum of its proper divisors (6217906428).

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

3241101312 is a wasteful number, since it uses less digits than its factorization.

3241101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3241101312 is about 56930.6711009101. The cubic root of 3241101312 is about 1479.8948841828.

Adding to 3241101312 its reverse (2131011423), we get a palindrome (5372112735).

The spelling of 3241101312 in words is "three billion, two hundred forty-one million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 192 202 256 288 303 384 404 512 576 606 768 808 909 1024 1152 1212 1536 1616 1741 1818 2048 2304 2424 3072 3232 3482 3636 4608 4848 5223 6144 6464 6964 7272 9216 9696 10446 12928 13928 14544 15669 18432 19392 20892 25856 27856 29088 31338 38784 41784 51712 55712 58176 62676 77568 83568 103424 111424 116352 125352 155136 167136 175841 206848 222848 232704 250704 310272 334272 351682 445696 465408 501408 527523 620544 668544 703364 891392 930816 1002816 1055046 1337088 1406728 1582569 1782784 1861632 2005632 2110092 2674176 2813456 3165138 3565568 4011264 4220184 5348352 5626912 6330276 8022528 8440368 10696704 11253824 12660552 16045056 16880736 22507648 25321104 32090112 33761472 45015296 50642208 67522944 90030592 101284416 135045888 180061184 202568832 270091776 360122368 405137664 540183552 810275328 1080367104 1620550656 3241101312