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10133302131123 = 336737924284237
BaseRepresentation
bin1001001101110101011111…
…0111111011100110110011
31022212201211020201010202220
42103131113313323212303
52312011000321143443
633315101424212123
72064051446641143
oct223352767734663
938781736633686
1010133302131123
113257566973136
121177a9a46a043
135867491aa3a2
14270650daa923
151288ccb2aa83
hex93757dfb9b3

10133302131123 has 16 divisors (see below), whose sum is σ = 13583631367680. Its totient is φ = 6719350964256.

The previous prime is 10133302131119. The next prime is 10133302131191. The reversal of 10133302131123 is 32113120333101.

It is not a de Polignac number, because 10133302131123 - 22 = 10133302131119 is a prime.

It is a super-2 number, since 2×101333021311232 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10133302131093 and 10133302131102.

It is not an unprimeable number, because it can be changed into a prime (10133302131103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11724840 + ... + 12559397.

It is an arithmetic number, because the mean of its divisors is an integer number (848976960480).

Almost surely, 210133302131123 is an apocalyptic number.

10133302131123 is a deficient number, since it is larger than the sum of its proper divisors (3450329236557).

10133302131123 is a wasteful number, since it uses less digits than its factorization.

10133302131123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24284986.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 10133302131123 its reverse (32113120333101), we get a palindrome (42246422464224).

The spelling of 10133302131123 in words is "ten trillion, one hundred thirty-three billion, three hundred two million, one hundred thirty-one thousand, one hundred twenty-three".

Divisors: 1 3 367 379 1101 1137 139093 417279 24284237 72852711 8912314979 9203725823 26736944937 27611177469 3377767377041 10133302131123