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100405530305536 = 2103131332
BaseRepresentation
bin10110110101000101111011…
…111101111010010000000000
3111011111200020001010112021111
4112311011323331322100000
5101130021011224234121
6553313355220333104
730102026432645101
oct2665057375722000
9434450201115244
10100405530305536
1129aa0823321a15
12b317320b44194
13440427c449011
141ab192167a3a8
15b91ba19722e1
hex5b517bf7a400

100405530305536 has 33 divisors (see below), whose sum is σ = 200713649320681. Its totient is φ = 50202604828672.

The previous prime is 100405530305519. The next prime is 100405530305581. The reversal of 100405530305536 is 635503035504001.

The square root of 100405530305536 is 10020256.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 83340831974400 + 17064698331136 = 9129120^2 + 4130944^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 320491626 + ... + 320804758.

Almost surely, 2100405530305536 is an apocalyptic number.

100405530305536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100405530305536 is the 10020256-th square number.

It is an amenable number.

100405530305536 is a deficient number, since it is larger than the sum of its proper divisors (100308119015145).

100405530305536 is an frugal number, since it uses more digits than its factorization.

100405530305536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626286 (or 313135 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 40.

Adding to 100405530305536 its reverse (635503035504001), we get a palindrome (735908565809537).

The spelling of 100405530305536 in words is "one hundred trillion, four hundred five billion, five hundred thirty million, three hundred five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 313133 626266 1252532 2505064 5010128 10020256 20040512 40081024 80162048 160324096 320648192 98052275689 196104551378 392209102756 784418205512 1568836411024 3137672822048 6275345644096 12550691288192 25101382576384 50202765152768 100405530305536