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4022100302201 = 29377195355399
BaseRepresentation
bin111010100001110111110…
…111000001100101111001
3112020111202002022101011022
4322201313313001211321
51011344230134132301
612315421040112225
7563405252323052
oct72416767014571
915214662271138
104022100302201
111310843845833
1254b615305675
13232389668927
14dc95654d729
156e9562ecd1b
hex3a877dc1979

4022100302201 has 32 divisors (see below), whose sum is σ = 4338059328000. Its totient is φ = 3721256501760.

The previous prime is 4022100302173. The next prime is 4022100302219. The reversal of 4022100302201 is 1022030012204.

4022100302201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4022100302201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4022100302201.

It is not an unprimeable number, because it can be changed into a prime (4022100302261) 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, 72574700 + ... + 72630098.

It is an arithmetic number, because the mean of its divisors is an integer number (135564354000).

Almost surely, 24022100302201 is an apocalyptic number.

It is an amenable number.

4022100302201 is a deficient number, since it is larger than the sum of its proper divisors (315959025799).

4022100302201 is a wasteful number, since it uses less digits than its factorization.

4022100302201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56489.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 4022100302201 its reverse (1022030012204), we get a palindrome (5044130314405).

The spelling of 4022100302201 in words is "four trillion, twenty-two billion, one hundred million, three hundred two thousand, two hundred one".

Divisors: 1 29 37 71 953 1073 2059 2627 27637 35261 55399 67663 76183 1022569 1606571 1962227 2049763 2503531 3933329 52795247 59443127 72602399 114066541 145533173 1531062163 1953424139 3748462537 4220462017 56649300031 108705413573 138693113869 4022100302201