Search a number
-
+
102888902169 = 321069212
BaseRepresentation
bin101111111010010101…
…0000000111000011001
3100211120111121210000100
41133310222000320121
53141204024332134
6115133322130013
710301453144544
oct1376452007031
9324514553010
10102888902169
113a6a9115059
1217b35350909
139919196001
144da09c785b
152a22b85999
hex17f4a80e19

102888902169 has 9 divisors (see below), whose sum is σ = 148618693119. Its totient is φ = 68591959920.

The previous prime is 102888902147. The next prime is 102888902183. The reversal of 102888902169 is 961209888201.

The square root of 102888902169 is 320763.

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., 97960862169 + 4928040000 = 312987^2 + 70200^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 102888902169 - 225 = 102855347737 is a prime.

It is a super-2 number, since 2×1028889021692 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102888902969) 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, 908829 + ... + 1015749.

Almost surely, 2102888902169 is an apocalyptic number.

102888902169 is the 320763-rd square number.

102888902169 is the 160382-nd centered octagonal number.

It is an amenable number.

102888902169 is a deficient number, since it is larger than the sum of its proper divisors (45729790950).

102888902169 is an frugal number, since it uses more digits than its factorization.

102888902169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213848 (or 106924 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 102888902169 in words is "one hundred two billion, eight hundred eighty-eight million, nine hundred two thousand, one hundred sixty-nine".

Divisors: 1 3 9 106921 320763 962289 11432100241 34296300723 102888902169