Search a number
-
+
10102303210131 = 3311233145984931
BaseRepresentation
bin1001001100000010000000…
…1100011011101010010011
31022202202210212202210102000
42103000200030123222103
52311004004110211011
633252533425525043
72061603330314166
oct223004014335223
938682725683360
1010102303210131
1132453a9882a70
121171a88aa3783
13583848b952a2
1426cd50015add
15127bb6485356
hex9302031ba93

10102303210131 has 32 divisors (see below), whose sum is σ = 16397027562240. Its totient is φ = 6096330676800.

The previous prime is 10102303210093. The next prime is 10102303210133. The reversal of 10102303210131 is 13101230320101.

10102303210131 is a `hidden beast` number, since 10 + 10 + 2 + 303 + 210 + 131 = 666.

It is not a de Polignac number, because 10102303210131 - 211 = 10102303208083 is a prime.

It is a super-2 number, since 2×101023032101312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10102303210133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72923265 + ... + 73061666.

It is an arithmetic number, because the mean of its divisors is an integer number (512407111320).

Almost surely, 210102303210131 is an apocalyptic number.

10102303210131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10102303210131 is a deficient number, since it is larger than the sum of its proper divisors (6294724352109).

10102303210131 is a wasteful number, since it uses less digits than its factorization.

10102303210131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145985184 (or 145985178 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10102303210131 its reverse (13101230320101), we get a palindrome (23203533530232).

The spelling of 10102303210131 in words is "ten trillion, one hundred two billion, three hundred three million, two hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 233 297 699 2097 2563 6291 7689 23067 69201 145984931 437954793 1313864379 1605834241 3941593137 4817502723 14452508169 34014488923 43357524507 102043466769 306130400307 374159378153 918391200921 1122478134459 3367434403377 10102303210131