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12100301201131 = 1113289729208661
BaseRepresentation
bin1011000000010101001000…
…1001111001111011101011
31120211202222210111001022121
42300011102021321323223
53041222404101414011
641422445052532111
72356134513112303
oct260052211717353
946752883431277
1012100301201131
113945788634860
121435152481037
1369a09072aa40
142db92ca46603
1515eb53804e71
hexb0152279eeb

12100301201131 has 16 divisors (see below), whose sum is σ = 14220646015968. Its totient is φ = 10150593523200.

The previous prime is 12100301201117. The next prime is 12100301201147. The reversal of 12100301201131 is 13110210300121.

It is a happy number.

12100301201131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12100301201131 - 27 = 12100301201003 is a prime.

It is a super-2 number, since 2×121003012011312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12100301201171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14190060 + ... + 15018601.

It is an arithmetic number, because the mean of its divisors is an integer number (888790375998).

Almost surely, 212100301201131 is an apocalyptic number.

12100301201131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12100301201131 is a deficient number, since it is larger than the sum of its proper divisors (2120344814837).

12100301201131 is a wasteful number, since it uses less digits than its factorization.

12100301201131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29211582.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 12100301201131 its reverse (13110210300121), we get a palindrome (25210511501252).

The spelling of 12100301201131 in words is "twelve trillion, one hundred billion, three hundred one million, two hundred one thousand, one hundred thirty-one".

Divisors: 1 11 13 143 2897 31867 37661 414271 29208661 321295271 379712593 4176838523 84617490917 930792400087 1100027381921 12100301201131