Search a number
-
+
102121201035 = 3357108064763
BaseRepresentation
bin101111100011011100…
…1011101110110001011
3100202121000001112001000
41133012321131312023
53133121011413120
6114525215430043
710243441613040
oct1370671356613
9322530045030
10102121201035
113a344834907
1217960225323
139826111599
144d2aa691c7
1529ca58d990
hex17c6e5dd8b

102121201035 has 32 divisors (see below), whose sum is σ = 207484346880. Its totient is φ = 46683977184.

The previous prime is 102121201019. The next prime is 102121201081. The reversal of 102121201035 is 530102121201.

It is not a de Polignac number, because 102121201035 - 24 = 102121201019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102121200999 and 102121201017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54031437 + ... + 54033326.

It is an arithmetic number, because the mean of its divisors is an integer number (6483885840).

Almost surely, 2102121201035 is an apocalyptic number.

102121201035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102121201035 is an abundant number, since it is smaller than the sum of its proper divisors (105363145845).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102121201035 is a wasteful number, since it uses less digits than its factorization.

102121201035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108064784 (or 108064778 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 102121201035 its reverse (530102121201), we get a palindrome (632223322236).

The spelling of 102121201035 in words is "one hundred two billion, one hundred twenty-one million, two hundred one thousand, thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 108064763 324194289 540323815 756453341 972582867 1620971445 2269360023 2917748601 3782266705 4862914335 6808080069 11346800115 14588743005 20424240207 34040400345 102121201035