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102885053049 = 3231234492
BaseRepresentation
bin101111111010001101…
…1010101001001111001
3100211120020101020000100
41133310123111021321
53141202033144144
6115133103430013
710301405343612
oct1376433251171
9324506336010
10102885053049
113a6a6a26169
1217b33bb5309
13991844901c
144da02a4c09
152a22675269
hex17f46d5279

102885053049 has 27 divisors (see below), whose sum is σ = 153604849359. Its totient is φ = 66358208160.

The previous prime is 102885053041. The next prime is 102885053057. The reversal of 102885053049 is 940350588201.

The square root of 102885053049 is 320757.

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

102885053049 is a `hidden beast` number, since 1 + 0 + 28 + 8 + 50 + 530 + 49 = 666.

It is an interprime number because it is at equal distance from previous prime (102885053041) and next prime (102885053057).

It can be written as a sum of positive squares in only one way, i.e., 536246649 + 102348806400 = 23157^2 + 319920^2 .

It is not a de Polignac number, because 102885053049 - 23 = 102885053041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102885052995 and 102885053013.

It is not an unprimeable number, because it can be changed into a prime (102885053041) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29828677 + ... + 29832125.

Almost surely, 2102885053049 is an apocalyptic number.

102885053049 is the 320757-th square number.

102885053049 is the 160379-th centered octagonal number.

It is an amenable number.

102885053049 is a deficient number, since it is larger than the sum of its proper divisors (50719796310).

102885053049 is an frugal number, since it uses more digits than its factorization.

102885053049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6966 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 102885053049 in words is "one hundred two billion, eight hundred eighty-five million, fifty-three thousand, forty-nine".

Divisors: 1 3 9 31 93 279 961 2883 3449 8649 10347 31041 106919 320757 962271 3314489 9943467 11895601 29830401 35686803 107060409 368763631 1106290893 3318872679 11431672561 34295017683 102885053049