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922078142001 = 323200832
BaseRepresentation
bin11010110101100000010…
…00111101111000110001
310021011001012200220101100
431122300020331320301
5110101404001021001
61543332530355013
7123421645613322
oct15326010757061
93234035626340
10922078142001
11326062088745
1212a85612ba69
1368c4a86a863
14328b36a8449
1518eba943586
hexd6b023de31

922078142001 has 9 divisors (see below), whose sum is σ = 1331894810649. Its totient is φ = 614716840836.

The previous prime is 922078141981. The next prime is 922078142009. The reversal of 922078142001 is 100241870229.

The square root of 922078142001 is 960249.

It is a perfect power (a square), and thus also a powerful number.

922078142001 is a `hidden beast` number, since 9 + 220 + 7 + 8 + 1 + 420 + 0 + 1 = 666.

922078142001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 922078142001 - 221 = 922076044849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (922078142009) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2720706 + ... + 3040788.

Almost surely, 2922078142001 is an apocalyptic number.

922078142001 is the 960249-th square number.

922078142001 is the 480125-th centered octagonal number.

It is an amenable number.

922078142001 is a deficient number, since it is larger than the sum of its proper divisors (409816668648).

922078142001 is an frugal number, since it uses more digits than its factorization.

922078142001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640172 (or 320086 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 922078142001 by its sum of digits (36), we get a square (33194813112036 = 57614942).

The spelling of 922078142001 in words is "nine hundred twenty-two billion, seventy-eight million, one hundred forty-two thousand, one".

Divisors: 1 3 9 320083 960249 2880747 102453126889 307359380667 922078142001