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103333001040 = 24325143518057
BaseRepresentation
bin110000000111100100…
…0000111011101010000
3100212201110021100010200
41200033020013131100
53143111222013130
6115245344455200
710315455005463
oct1401710073520
9325643240120
10103333001040
113a906870115
121803a01a500
13998a1a79c9
14500398b2da
152a4bb5a760
hex180f207750

103333001040 has 60 divisors (see below), whose sum is σ = 347026664244. Its totient is φ = 27555466752.

The previous prime is 103333001029. The next prime is 103333001063. The reversal of 103333001040 is 40100333301.

It can be written as a sum of positive squares in 2 ways, for example, as 36030113856 + 67302887184 = 189816^2 + 259428^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71758309 + ... + 71759748.

Almost surely, 2103333001040 is an apocalyptic number.

103333001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103333001040 is an abundant number, since it is smaller than the sum of its proper divisors (243693663204).

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

103333001040 is a wasteful number, since it uses less digits than its factorization.

103333001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143518076 (or 143518067 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103333001040 its reverse (40100333301), we get a palindrome (143433334341).

The spelling of 103333001040 in words is "one hundred three billion, three hundred thirty-three million, one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 143518057 287036114 430554171 574072228 717590285 861108342 1148144456 1291662513 1435180570 1722216684 2152770855 2296288912 2583325026 2870361140 3444433368 4305541710 5166650052 5740722280 6458312565 6888866736 8611083420 10333300104 11481444560 12916625130 17222166840 20666600208 25833250260 34444333680 51666500520 103333001040