Search a number
-
+
101226765769 is a prime number
BaseRepresentation
bin101111001000110010…
…1011101110111001001
3100200021200000111111221
41132101211131313021
53124303023001034
6114300344522041
710212331212043
oct1362145356711
9320250014457
10101226765769
1139a25963408
1217750780321
139712a15a4c
144c83d5aa93
152976cb0bb4
hex179195ddc9

101226765769 has 2 divisors, whose sum is σ = 101226765770. Its totient is φ = 101226765768.

The previous prime is 101226765743. The next prime is 101226765821. The reversal of 101226765769 is 967567622101.

It is an a-pointer prime, because the next prime (101226765821) can be obtained adding 101226765769 to its sum of digits (52).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98395142400 + 2831623369 = 313680^2 + 53213^2 .

It is a cyclic number.

It is not a de Polignac number, because 101226765769 - 217 = 101226634697 is a prime.

It is a super-2 number, since 2×1012267657692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101226765469) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50613382884 + 50613382885.

It is an arithmetic number, because the mean of its divisors is an integer number (50613382885).

Almost surely, 2101226765769 is an apocalyptic number.

It is an amenable number.

101226765769 is a deficient number, since it is larger than the sum of its proper divisors (1).

101226765769 is an equidigital number, since it uses as much as digits as its factorization.

101226765769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1905120, while the sum is 52.

The spelling of 101226765769 in words is "one hundred one billion, two hundred twenty-six million, seven hundred sixty-five thousand, seven hundred sixty-nine".