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10320202240 = 29517237137
BaseRepresentation
bin10011001110010000…
…11100101000000000
3222122020021121000121
421213020130220000
5132113432432430
64424021430024
7513513162115
oct114710345000
928566247017
1010320202240
114416537767
12200026b314
13c8613c75a
146dc8b490c
1540605ca7a
hex26721ca00

10320202240 has 80 divisors (see below), whose sum is σ = 26199954792. Its totient is φ = 3885236224.

The previous prime is 10320202213. The next prime is 10320202267. The reversal of 10320202240 is 4220202301.

It is an interprime number because it is at equal distance from previous prime (10320202213) and next prime (10320202267).

It can be written as a sum of positive squares in 4 ways, for example, as 10254397696 + 65804544 = 101264^2 + 8112^2 .

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 (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75049 + ... + 162088.

Almost surely, 210320202240 is an apocalyptic number.

10320202240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10320202240 is an abundant number, since it is smaller than the sum of its proper divisors (15879752552).

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

10320202240 is an equidigital number, since it uses as much as digits as its factorization.

10320202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237177 (or 237161 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10320202240 its reverse (4220202301), we get a palindrome (14540404541).

The spelling of 10320202240 in words is "ten billion, three hundred twenty million, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1088 1280 1360 2176 2560 2720 4352 5440 8704 10880 21760 43520 237137 474274 948548 1185685 1897096 2371370 3794192 4031329 4742740 7588384 8062658 9485480 15176768 16125316 18970960 20156645 30353536 32250632 37941920 40313290 60707072 64501264 75883840 80626580 121414144 129002528 151767680 161253160 258005056 303535360 322506320 516010112 607070720 645012640 1032020224 1290025280 2064040448 2580050560 5160101120 10320202240