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222120200122029 = 321170125981123191
BaseRepresentation
bin110010100000010001100011…
…101000000010111010101101
31002010110111001122200021111200
4302200101203220002322231
5213103204132212401104
62104224340010240113
764533440424123156
oct6240214350027255
91063414048607450
10222120200122029
11648577143419a0
1220ab4471726039
1396c2aca5bc031
143cbc96448c92d
151aa2cc9738b39
hexca0463a02ead

222120200122029 has 48 divisors (see below), whose sum is σ = 350523221862528. Its totient is φ = 134420000400000.

The previous prime is 222120200122027. The next prime is 222120200122043. The reversal of 222120200122029 is 920221002021222.

222120200122029 is a `hidden beast` number, since 2 + 2 + 212 + 0 + 200 + 1 + 220 + 29 = 666.

It is not a de Polignac number, because 222120200122029 - 21 = 222120200122027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222120200121993 and 222120200122011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222120200122027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1802993824 + ... + 1803117014.

It is an arithmetic number, because the mean of its divisors is an integer number (7302567122136).

Almost surely, 2222120200122029 is an apocalyptic number.

It is an amenable number.

222120200122029 is a deficient number, since it is larger than the sum of its proper divisors (128403021740499).

222120200122029 is a wasteful number, since it uses less digits than its factorization.

222120200122029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149890 (or 149887 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 222120200122029 in words is "two hundred twenty-two trillion, one hundred twenty billion, two hundred million, one hundred twenty-two thousand, twenty-nine".

Divisors: 1 3 9 11 33 99 701 2103 6309 7711 23133 25981 69399 77943 123191 233829 285791 369573 857373 1108719 1355101 2572119 4065303 12195909 18212681 54638043 86356891 163914129 200339491 259070673 601018473 777212019 949925801 1803055419 2849777403 3200625371 8549332209 9601876113 28805628339 35206879081 105620637243 316861911729 2243638385071 6730915155213 20192745465639 24680022235781 74040066707343 222120200122029