Search a number
-
+
100144424112253 is a prime number
BaseRepresentation
bin10110110001010010110000…
…110100110101000001111101
3111010120201021002202121010021
4112301102300310311001331
5101111231240033043003
6552553414024412141
730044124120634063
oct2661226064650175
9433521232677107
10100144424112253
1129a00014719334
12b2947b1017051
1343b576a461031
141aa3031c34033
15b89ebdade2bd
hex5b14b0d3507d

100144424112253 has 2 divisors, whose sum is σ = 100144424112254. Its totient is φ = 100144424112252.

The previous prime is 100144424112167. The next prime is 100144424112263. The reversal of 100144424112253 is 352211424441001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100080376144324 + 64047967929 = 10004018^2 + 253077^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100144424112253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100144424112263) 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, 50072212056126 + 50072212056127.

It is an arithmetic number, because the mean of its divisors is an integer number (50072212056127).

Almost surely, 2100144424112253 is an apocalyptic number.

It is an amenable number.

100144424112253 is a deficient number, since it is larger than the sum of its proper divisors (1).

100144424112253 is an equidigital number, since it uses as much as digits as its factorization.

100144424112253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30720, while the sum is 34.

Adding to 100144424112253 its reverse (352211424441001), we get a palindrome (452355848553254).

The spelling of 100144424112253 in words is "one hundred trillion, one hundred forty-four billion, four hundred twenty-four million, one hundred twelve thousand, two hundred fifty-three".