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12101200301331 = 3317148153177953
BaseRepresentation
bin1011000000011000011110…
…1111101100110100010011
31120211212022110022001221000
42300012013233230310103
53041231224234120311
641423114211433043
72356166011252551
oct260060757546423
946755273261830
1012101200301331
1139460aa102079
1214353635b5783
1369a1a4a9a9ab
142db9b620abd1
1515eba7705056
hexb0187becd13

12101200301331 has 32 divisors (see below), whose sum is σ = 18982509779520. Its totient is φ = 7592816074752.

The previous prime is 12101200301329. The next prime is 12101200301341. The reversal of 12101200301331 is 13310300210121.

12101200301331 is a `hidden beast` number, since 1 + 2 + 10 + 1 + 20 + 0 + 301 + 331 = 666.

12101200301331 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 12101200301331 - 21 = 12101200301329 is a prime.

It is a super-2 number, since 2×121012003013312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12101200301341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67913251 + ... + 68091203.

It is an arithmetic number, because the mean of its divisors is an integer number (593203430610).

Almost surely, 212101200301331 is an apocalyptic number.

12101200301331 is a deficient number, since it is larger than the sum of its proper divisors (6881309478189).

12101200301331 is a wasteful number, since it uses less digits than its factorization.

12101200301331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326132 (or 326126 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12101200301331 its reverse (13310300210121), we get a palindrome (25411500511452).

The spelling of 12101200301331 in words is "twelve trillion, one hundred one billion, two hundred million, three hundred one thousand, three hundred thirty-one".

Divisors: 1 3 9 17 27 51 153 459 148153 177953 444459 533859 1333377 1601577 2518601 3025201 4000131 4804731 7555803 9075603 22667409 27226809 68002227 81680427 26364270809 79092812427 237278437281 448192603753 711835311843 1344577811259 4033733433777 12101200301331