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101333212113 = 3722389336757
BaseRepresentation
bin101111001011111101…
…1100001101111010001
3100200120002022112110010
41132113323201233101
53130012300241423
6114315110225133
710215063043200
oct1362773415721
9320502275403
10101333212113
1139a7aa580a1
12177803551a9
13972baa5753
144c94149237
1529812da693
hex1797ee1bd1

101333212113 has 48 divisors (see below), whose sum is σ = 165846579840. Its totient is φ = 54764607744.

The previous prime is 101333212103. The next prime is 101333212121. The reversal of 101333212113 is 311212333101.

It is a happy number.

It is not a de Polignac number, because 101333212113 - 222 = 101329017809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101333212113.

It is not an unprimeable number, because it can be changed into a prime (101333212103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132531 + ... + 469287.

It is an arithmetic number, because the mean of its divisors is an integer number (3455137080).

Almost surely, 2101333212113 is an apocalyptic number.

It is an amenable number.

101333212113 is a deficient number, since it is larger than the sum of its proper divisors (64513367727).

101333212113 is a wasteful number, since it uses less digits than its factorization.

101333212113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336886 (or 336879 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 101333212113 its reverse (311212333101), we get a palindrome (412545545214).

The spelling of 101333212113 in words is "one hundred one billion, three hundred thirty-three million, two hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 7 21 23 49 69 89 147 161 267 483 623 1127 1869 2047 3381 4361 6141 13083 14329 42987 100303 300909 336757 1010271 2357299 7071897 7745411 16501093 23236233 29971373 49503279 54217877 89914119 162653631 209799611 379525139 629398833 689341579 1138575417 1468597277 2068024737 4405791831 4825391053 14476173159 33777737371 101333212113