Search a number
-
+
10100999969 is a prime number
BaseRepresentation
bin10010110100001000…
…10000011100100001
3222001221210222000222
421122010100130201
5131141323444334
64350151252425
7505212040334
oct113204203441
928057728028
1010100999969
114313829865
121b5a97a115
13c4c8c1178
146bb73461b
153e1badd2e
hex25a110721

10100999969 has 2 divisors, whose sum is σ = 10100999970. Its totient is φ = 10100999968.

The previous prime is 10100999933. The next prime is 10100999981. The reversal of 10100999969 is 96999900101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5993856400 + 4107143569 = 77420^2 + 64087^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100999969 - 216 = 10100934433 is a prime.

It is a super-2 number, since 2×101009999692 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10100999969.

It is not a weakly prime, because it can be changed into another prime (10100999929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050499984 + 5050499985.

It is an arithmetic number, because the mean of its divisors is an integer number (5050499985).

Almost surely, 210100999969 is an apocalyptic number.

It is an amenable number.

10100999969 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100999969 is an equidigital number, since it uses as much as digits as its factorization.

10100999969 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 354294, while the sum is 53.

The spelling of 10100999969 in words is "ten billion, one hundred million, nine hundred ninety-nine thousand, nine hundred sixty-nine".