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12102132011031 = 324313460390163
BaseRepresentation
bin1011000000011011111101…
…0001111001000000010111
31120211221201101110211100200
42300012333101321000113
53041240131243323111
641423350453311543
72356231053540426
oct260067721710027
946757641424320
1012102132011031
113946538022397
1214355836355b3
1369a2c2b175ca
142dba63c5d2bd
1515ec0e3e7256
hexb01bf479017

12102132011031 has 24 divisors (see below), whose sum is σ = 17522116874496. Its totient is φ = 8049046651920.

The previous prime is 12102132011023. The next prime is 12102132011071. The reversal of 12102132011031 is 13011023120121.

12102132011031 is a `hidden beast` number, since 1 + 210 + 21 + 320 + 110 + 3 + 1 = 666.

It is not a de Polignac number, because 12102132011031 - 23 = 12102132011023 is a prime.

It is a super-2 number, since 2×121021320110312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12102132010995 and 12102132011013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102132011071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134179956 + ... + 134270118.

It is an arithmetic number, because the mean of its divisors is an integer number (730088203104).

Almost surely, 212102132011031 is an apocalyptic number.

12102132011031 is a deficient number, since it is larger than the sum of its proper divisors (5419984863465).

12102132011031 is a wasteful number, since it uses less digits than its factorization.

12102132011031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125203 (or 125200 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12102132011031 its reverse (13011023120121), we get a palindrome (25113155131152).

The spelling of 12102132011031 in words is "twelve trillion, one hundred two billion, one hundred thirty-two million, eleven thousand, thirty-one".

Divisors: 1 3 9 431 1293 3879 34603 90163 103809 270489 311427 811467 14913893 38860253 44741679 116580759 134225037 349742277 3119910289 9359730867 28079192601 1344681334559 4034044003677 12102132011031