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12122113010130 = 2325413285125477
BaseRepresentation
bin1011000001100110011000…
…1111010110100111010010
31120220212021220020202021100
42300121212033112213102
53042102041412311010
641440453303405230
72360536155326214
oct260314617264722
946825256222240
1012122113010130
113953a60853792
12143941b153816
1369c15859b7b6
142dc9db7da5b4
151604cd65d2c0
hexb06663d69d2

12122113010130 has 48 divisors (see below), whose sum is σ = 32286213197784. Its totient is φ = 3153720456960.

The previous prime is 12122113010101. The next prime is 12122113010131. The reversal of 12122113010130 is 3101031122121.

12122113010130 is a `hidden beast` number, since 1 + 21 + 2 + 211 + 301 + 0 + 130 = 666.

12122113010130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9871365948129 + 2250747062001 = 3141873^2 + 1500249^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12122113010131) 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, 1642559049 + ... + 1642566428.

Almost surely, 212122113010130 is an apocalyptic number.

12122113010130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12122113010130 is an abundant number, since it is smaller than the sum of its proper divisors (20164100187654).

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

12122113010130 is a wasteful number, since it uses less digits than its factorization.

12122113010130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285125531 (or 3285125528 counting only the distinct ones).

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

Adding to 12122113010130 its reverse (3101031122121), we get a palindrome (15223144132251).

The spelling of 12122113010130 in words is "twelve trillion, one hundred twenty-two billion, one hundred thirteen million, ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 3285125477 6570250954 9855376431 16425627385 19710752862 29566129293 32851254770 49276882155 59132258586 98553764310 134690144557 147830646465 269380289114 295661292930 404070433671 673450722785 808140867342 1212211301013 1346901445570 2020352168355 2424422602026 4040704336710 6061056505065 12122113010130