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102680511844 = 2253230232
BaseRepresentation
bin101111110100000111…
…1000100010101100100
3100211000222111110020011
41133220033010111210
53140242202334334
6115100515420004
710263342643561
oct1375017042544
9324028443204
10102680511844
113a601521349
1217a975b4604
1398b4c61a21
144d8105d868
152a0e720564
hex17e83c4564

102680511844 has 27 divisors (see below), whose sum is σ = 183205863673. Its totient is φ = 50354909072.

The previous prime is 102680511841. The next prime is 102680511847. The reversal of 102680511844 is 448115086201.

The square root of 102680511844 is 320438.

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

It is an interprime number because it is at equal distance from previous prime (102680511841) and next prime (102680511847).

It can be written as a sum of positive squares in only one way, i.e., 74022084900 + 28658426944 = 272070^2 + 169288^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102680511797 and 102680511806.

It is not an unprimeable number, because it can be changed into a prime (102680511841) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33964917 + ... + 33967939.

Almost surely, 2102680511844 is an apocalyptic number.

102680511844 is the 320438-th square number.

It is an amenable number.

102680511844 is a deficient number, since it is larger than the sum of its proper divisors (80525351829).

102680511844 is an frugal number, since it uses more digits than its factorization.

102680511844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6156 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 102680511844 in words is "one hundred two billion, six hundred eighty million, five hundred eleven thousand, eight hundred forty-four".

Divisors: 1 2 4 53 106 212 2809 3023 5618 6046 11236 12092 160219 320438 640876 8491607 9138529 16983214 18277058 33966428 36554116 484342037 968684074 1937368148 25670127961 51340255922 102680511844