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153946940101 is a prime number
BaseRepresentation
bin1000111101011111110…
…0111110001011000101
3112201100211022211211021
42033113330332023011
510010240404040401
6154420001111141
714056643254153
oct2172774761305
9481324284737
10153946940101
115a31a041719
1225a046284b1
13116951b3a86
147645a523d3
1540103732a1
hex23d7f3e2c5

153946940101 has 2 divisors, whose sum is σ = 153946940102. Its totient is φ = 153946940100.

The previous prime is 153946940087. The next prime is 153946940143. The reversal of 153946940101 is 101049649351.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107076855076 + 46870085025 = 327226^2 + 216495^2 .

It is a cyclic number.

It is not a de Polignac number, because 153946940101 - 27 = 153946939973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153946940201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76973470050 + 76973470051.

It is an arithmetic number, because the mean of its divisors is an integer number (76973470051).

Almost surely, 2153946940101 is an apocalyptic number.

It is an amenable number.

153946940101 is a deficient number, since it is larger than the sum of its proper divisors (1).

153946940101 is an equidigital number, since it uses as much as digits as its factorization.

153946940101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 153946940101 in words is "one hundred fifty-three billion, nine hundred forty-six million, nine hundred forty thousand, one hundred one".