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103330213120 = 285611323389
BaseRepresentation
bin110000000111011110…
…1011110110100000000
3100212201021000200211101
41200032331132310000
53143110013304440
6115245205024144
710315422214441
oct1401675366400
9325637020741
10103330213120
113a905236552
12180390b5054
13998973ca54
1450034632c8
152a4b7a969a
hex180ef5ed00

103330213120 has 72 divisors (see below), whose sum is σ = 251565851880. Its totient is φ = 40654479360.

The previous prime is 103330213109. The next prime is 103330213153. The reversal of 103330213120 is 21312033301.

It can be written as a sum of positive squares in 4 ways, for example, as 88811776 + 103241401344 = 9424^2 + 321312^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 583615 + ... + 739774.

It is an arithmetic number, because the mean of its divisors is an integer number (3493970165).

Almost surely, 2103330213120 is an apocalyptic number.

103330213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103330213120 is an abundant number, since it is smaller than the sum of its proper divisors (148235638760).

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

103330213120 is an equidigital number, since it uses as much as digits as its factorization.

103330213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323471 (or 1323457 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 103330213120 its reverse (21312033301), we get a palindrome (124642246421).

The spelling of 103330213120 in words is "one hundred three billion, three hundred thirty million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 610 640 976 1220 1280 1952 2440 3904 4880 7808 9760 15616 19520 39040 78080 1323389 2646778 5293556 6616945 10587112 13233890 21174224 26467780 42348448 52935560 80726729 84696896 105871120 161453458 169393792 211742240 322906916 338787584 403633645 423484480 645813832 807267290 846968960 1291627664 1614534580 1693937920 2583255328 3229069160 5166510656 6458138320 10333021312 12916276640 20666042624 25832553280 51665106560 103330213120