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1101311040 = 26351577307
BaseRepresentation
bin100000110100100…
…1010110001000000
32211202022101201210
41001221022301000
54223413423130
6301140530120
736201663234
oct10151126100
92752271653
101101311040
11515730315
122689b0940
1314721c64b
14a63a05c4
1566a445b0
hex41a4ac40

1101311040 has 112 divisors (see below), whose sum is σ = 3519415872. Its totient is φ = 291772416.

The previous prime is 1101311027. The next prime is 1101311083. The reversal of 1101311040 is 401131011.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 147067 + ... + 154373.

It is an arithmetic number, because the mean of its divisors is an integer number (31423356).

Almost surely, 21101311040 is an apocalyptic number.

1101311040 is a gapful number since it is divisible by the number (10) 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 1101311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759707936).

1101311040 is an abundant number, since it is smaller than the sum of its proper divisors (2418104832).

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

1101311040 is a wasteful number, since it uses less digits than its factorization.

1101311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7484 (or 7474 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1101311040 is about 33186.0066895672. The cubic root of 1101311040 is about 1032.6900618832.

Adding to 1101311040 its reverse (401131011), we get a palindrome (1502442051).

The spelling of 1101311040 in words is "one billion, one hundred one million, three hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 157 160 192 240 314 320 471 480 628 785 942 960 1256 1570 1884 2355 2512 3140 3768 4710 5024 6280 7307 7536 9420 10048 12560 14614 15072 18840 21921 25120 29228 30144 36535 37680 43842 50240 58456 73070 75360 87684 109605 116912 146140 150720 175368 219210 233824 292280 350736 438420 467648 584560 701472 876840 1147199 1169120 1402944 1753680 2294398 2338240 3441597 3507360 4588796 5735995 6883194 7014720 9177592 11471990 13766388 17207985 18355184 22943980 27532776 34415970 36710368 45887960 55065552 68831940 73420736 91775920 110131104 137663880 183551840 220262208 275327760 367103680 550655520 1101311040