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12100030310112 = 253191659905667
BaseRepresentation
bin1011000000010100001000…
…0000100010011011100000
31120211202021220202100200220
42300011002000202123200
53041221330224410422
641422402134443040
72356125013430463
oct260050200423340
946752256670626
1012100030310112
113945659732388
121435097803480
1369a0495824b4
142db904a8d2da
1515eb39b45e5c
hexb01420226e0

12100030310112 has 48 divisors (see below), whose sum is σ = 31928875840512. Its totient is φ = 4012226449280.

The previous prime is 12100030310111. The next prime is 12100030310117. The reversal of 12100030310112 is 21101303000121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12100030310091 and 12100030310100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100030310111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329934498 + ... + 329971169.

It is an arithmetic number, because the mean of its divisors is an integer number (665184913344).

Almost surely, 212100030310112 is an apocalyptic number.

12100030310112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12100030310112 is an abundant number, since it is smaller than the sum of its proper divisors (19828845530400).

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

12100030310112 is a wasteful number, since it uses less digits than its factorization.

12100030310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659905871 (or 659905863 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12100030310112 its reverse (21101303000121), we get a palindrome (33201333310233).

The spelling of 12100030310112 in words is "twelve trillion, one hundred billion, thirty million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 382 573 764 1146 1528 2292 3056 4584 6112 9168 18336 659905667 1319811334 1979717001 2639622668 3959434002 5279245336 7918868004 10558490672 15837736008 21116981344 31675472016 63350944032 126041982397 252083964794 378125947191 504167929588 756251894382 1008335859176 1512503788764 2016671718352 3025007577528 4033343436704 6050015155056 12100030310112