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10132312011141 = 383369311101839
BaseRepresentation
bin1001001101110001110011…
…0110111011000110000101
31022212122021020121211111110
42103130130312323012011
52312001433333324031
633314415254355233
72064015065030025
oct223343466730605
938778236554443
1010132312011141
1132570a8a88361
12117786295bb19
1358661c01c288
142705996b1a85
15128870c4bc46
hex9371cdbb185

10132312011141 has 16 divisors (see below), whose sum is σ = 13672900039680. Its totient is φ = 6673303883760.

The previous prime is 10132312011091. The next prime is 10132312011169. The reversal of 10132312011141 is 14111021323101.

It is a happy number.

It is not a de Polignac number, because 10132312011141 - 211 = 10132312009093 is a prime.

It is a super-2 number, since 2×101323120111412 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132312011841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8644900 + ... + 9746738.

It is an arithmetic number, because the mean of its divisors is an integer number (854556252480).

Almost surely, 210132312011141 is an apocalyptic number.

It is an amenable number.

10132312011141 is a deficient number, since it is larger than the sum of its proper divisors (3540588028539).

10132312011141 is a wasteful number, since it uses less digits than its factorization.

10132312011141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138856.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 10132312011141 its reverse (14111021323101), we get a palindrome (24243333334242).

The spelling of 10132312011141 in words is "ten trillion, one hundred thirty-two billion, three hundred twelve million, eleven thousand, one hundred forty-one".

Divisors: 1 3 83 249 36931 110793 1101839 3065273 3305517 9195819 91452637 274357911 40692016109 122076048327 3377437337047 10132312011141