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12203401040 = 2451713765497
BaseRepresentation
bin10110101110110000…
…10001111101010000
31011111110212000010022
423113120101331100
5144443032313130
65334533123012
7611261124455
oct132730217520
934443760108
1012203401040
1151a2557906
122446a89468
1311c633cb7c
1483aa4782c
154b654c7e5
hex2d7611f50

12203401040 has 80 divisors (see below), whose sum is σ = 30261647952. Its totient is φ = 4560617472.

The previous prime is 12203401027. The next prime is 12203401043. The reversal of 12203401040 is 4010430221.

12203401040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 164044864 + 12039356176 = 12808^2 + 109724^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12203401043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153572 + ... + 219068.

Almost surely, 212203401040 is an apocalyptic number.

12203401040 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 12203401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15130823976).

12203401040 is an abundant number, since it is smaller than the sum of its proper divisors (18058246912).

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

12203401040 is a wasteful number, since it uses less digits than its factorization.

12203401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65664 (or 65658 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12203401040 its reverse (4010430221), we get a palindrome (16213831261).

The spelling of 12203401040 in words is "twelve billion, two hundred three million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 137 170 272 274 340 548 680 685 1096 1360 1370 2192 2329 2740 4658 5480 9316 10960 11645 18632 23290 37264 46580 65497 93160 130994 186320 261988 327485 523976 654970 1047952 1113449 1309940 2226898 2619880 4453796 5239760 5567245 8907592 8973089 11134490 17815184 17946178 22268980 35892356 44537960 44865445 71784712 89075920 89730890 143569424 152542513 179461780 305085026 358923560 610170052 717847120 762712565 1220340104 1525425130 2440680208 3050850260 6101700520 12203401040