Search a number
-
+
1023100001 = 71117781589
BaseRepresentation
bin111100111110110…
…100010001100001
32122022010212100122
4330332310101201
54043403200001
6245304330025
734232130560
oct7476642141
92568125318
101023100001
114855711a0
12246773915
13133c67621
1499c41bd7
155ec45b1b
hex3cfb4461

1023100001 has 16 divisors (see below), whose sum is σ = 1350587520. Its totient is φ = 750324480.

The previous prime is 1023099941. The next prime is 1023100021. The reversal of 1023100001 is 1000013201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1023100001 is a prime.

It is a super-2 number, since 2×10231000012 = 2093467224092400002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1023100021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389486 + ... + 392103.

It is an arithmetic number, because the mean of its divisors is an integer number (84411720).

Almost surely, 21023100001 is an apocalyptic number.

1023100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1023100001 is a deficient number, since it is larger than the sum of its proper divisors (327487519).

1023100001 is a wasteful number, since it uses less digits than its factorization.

1023100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781624.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1023100001 is about 31985.9344243685. The cubic root of 1023100001 is about 1007.6414596939.

Adding to 1023100001 its reverse (1000013201), we get a palindrome (2023113202).

The spelling of 1023100001 in words is "one billion, twenty-three million, one hundred thousand, one".

Divisors: 1 7 11 17 77 119 187 1309 781589 5471123 8597479 13287013 60182353 93009091 146157143 1023100001