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202122112112153 is a prime number
BaseRepresentation
bin101101111101010000111000…
…101100011001011000011001
3222111122200111111221221012222
4231331100320230121120121
5202443032041200042103
61553513341052513425
760400561234536422
oct5575207054313031
9874580444857188
10202122112112153
1159447562a7a392
121a80475247b875
1388a20584794cc
1437caa9613a649
1518579d767d638
hexb7d438b19619

202122112112153 has 2 divisors, whose sum is σ = 202122112112154. Its totient is φ = 202122112112152.

The previous prime is 202122112112147. The next prime is 202122112112203. The reversal of 202122112112153 is 351211211221202.

202122112112153 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., 114759198855184 + 87362913256969 = 10712572^2 + 9346813^2 .

It is a cyclic number.

It is not a de Polignac number, because 202122112112153 - 212 = 202122112108057 is a prime.

It is not a weakly prime, because it can be changed into another prime (202122112112653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101061056056076 + 101061056056077.

It is an arithmetic number, because the mean of its divisors is an integer number (101061056056077).

Almost surely, 2202122112112153 is an apocalyptic number.

It is an amenable number.

202122112112153 is a deficient number, since it is larger than the sum of its proper divisors (1).

202122112112153 is an equidigital number, since it uses as much as digits as its factorization.

202122112112153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 960, while the sum is 26.

Adding to 202122112112153 its reverse (351211211221202), we get a palindrome (553333323333355).

The spelling of 202122112112153 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twelve thousand, one hundred fifty-three".