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202073121937 is a prime number
BaseRepresentation
bin1011110000110001111…
…1110010010010010001
3201022120211020012011101
42330030133302102101
511302321204400222
6232455304144401
720412363124201
oct2741437622221
9638524205141
10202073121937
1178776011415
12331b5a68101
131609498904b
149acd572401
1553ca47c927
hex2f0c7f2491

202073121937 has 2 divisors, whose sum is σ = 202073121938. Its totient is φ = 202073121936.

The previous prime is 202073121919. The next prime is 202073121959. The reversal of 202073121937 is 739121370202.

202073121937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 179027149456 + 23045972481 = 423116^2 + 151809^2 .

It is a cyclic number.

It is not a de Polignac number, because 202073121937 - 211 = 202073119889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202073121896 and 202073121905.

It is not a weakly prime, because it can be changed into another prime (202073121967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101036560968 + 101036560969.

It is an arithmetic number, because the mean of its divisors is an integer number (101036560969).

Almost surely, 2202073121937 is an apocalyptic number.

It is an amenable number.

202073121937 is a deficient number, since it is larger than the sum of its proper divisors (1).

202073121937 is an equidigital number, since it uses as much as digits as its factorization.

202073121937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 37.

The spelling of 202073121937 in words is "two hundred two billion, seventy-three million, one hundred twenty-one thousand, nine hundred thirty-seven".