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2042122034043 = 337131495578151
BaseRepresentation
bin11101101101110111111…
…101010101101101111011
321020020001222212212221000
4131231313331111231323
5231424231220042133
64202045442220043
7300352454613030
oct35556775255573
97206058785830
102042122034043
11718071717473
1228b93a654623
1311a75714a980
1470ba6c01387
15381c0e30413
hex1db77f55b7b

2042122034043 has 64 divisors (see below), whose sum is σ = 3748518144000. Its totient is φ = 1069933795200.

The previous prime is 2042122034003. The next prime is 2042122034053. The reversal of 2042122034043 is 3404302212402.

2042122034043 is a `hidden beast` number, since 2 + 0 + 42 + 12 + 203 + 404 + 3 = 666.

It is not a de Polignac number, because 2042122034043 - 29 = 2042122033531 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2042122033998 and 2042122034016.

It is not an unprimeable number, because it can be changed into a prime (2042122034003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2422983 + ... + 3155168.

It is an arithmetic number, because the mean of its divisors is an integer number (58570596000).

Almost surely, 22042122034043 is an apocalyptic number.

2042122034043 is a deficient number, since it is larger than the sum of its proper divisors (1706396109957).

2042122034043 is a wasteful number, since it uses less digits than its factorization.

2042122034043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5578329 (or 5578323 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2042122034043 its reverse (3404302212402), we get a palindrome (5446424246445).

The spelling of 2042122034043 in words is "two trillion, forty-two billion, one hundred twenty-two million, thirty-four thousand, forty-three".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 149 189 273 351 447 819 1043 1341 1937 2457 3129 4023 5811 9387 13559 17433 28161 40677 52299 122031 366093 5578151 16734453 39047057 50203359 72515963 117141171 150610077 217547889 351423513 507611741 652643667 831144499 1054270539 1522835223 1957931001 2493433497 4568505669 5818011493 7480300491 10804878487 13705517007 17454034479 22440901473 32414635461 52362103437 75634149409 97243906383 157086310311 226902448227 291731719149 680707344681 2042122034043