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102894034441 = 1162412
BaseRepresentation
bin101111111010011110…
…1100101111000001001
3100211120212021112011111
41133310331211320021
53141211333100231
6115134024130321
710301544601462
oct1376475457011
9324525245144
10102894034441
113a701000000
1217b370069a1
13991a272063
144da1561d69
152a2334b4b1
hex17f4f65e09

102894034441 has 21 divisors (see below), whose sum is σ = 113655021591. Its totient is φ = 93151898400.

The previous prime is 102894034417. The next prime is 102894034457. The reversal of 102894034441 is 144430498201.

The square root of 102894034441 is 320771.

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., 77383556041 + 25510478400 = 278179^2 + 159720^2 .

It is not a de Polignac number, because 102894034441 - 25 = 102894034409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102894034394 and 102894034403.

It is not an unprimeable number, because it can be changed into a prime (102894074441) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 426946081 + ... + 426946321.

Almost surely, 2102894034441 is an apocalyptic number.

102894034441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102894034441 is the 320771-st square number.

102894034441 is the 160386-th centered octagonal number.

It is an amenable number.

102894034441 is a deficient number, since it is larger than the sum of its proper divisors (10760987150).

102894034441 is an frugal number, since it uses more digits than its factorization.

102894034441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 102894034441 in words is "one hundred two billion, eight hundred ninety-four million, thirty-four thousand, four hundred forty-one".

Divisors: 1 11 121 241 1331 2651 14641 29161 58081 161051 320771 638891 1771561 3528481 7027801 38813291 77305811 426946201 850363921 9354003131 102894034441