Search a number
-
+
1010006105501 = 171913123869877
BaseRepresentation
bin11101011001010010000…
…11100001110110011101
310120120000001200020210002
432230221003201312131
5113021443030334001
62051553532024045
7132653615150201
oct16545103416635
93516001606702
101010006105501
1135a383130078
121438b5002025
1374321313023
1436c55318b01
151b414e2d46b
hexeb290e1d9d

1010006105501 has 16 divisors (see below), whose sum is σ = 1134296602560. Its totient is φ = 893688157440.

The previous prime is 1010006105491. The next prime is 1010006105533. The reversal of 1010006105501 is 1055016000101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1010006105501 is a prime.

It is a super-2 number, since 2×10100061055012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010006105201) 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, 11892626 + ... + 11977251.

It is an arithmetic number, because the mean of its divisors is an integer number (70893537660).

Almost surely, 21010006105501 is an apocalyptic number.

It is an amenable number.

1010006105501 is a deficient number, since it is larger than the sum of its proper divisors (124290497059).

1010006105501 is a wasteful number, since it uses less digits than its factorization.

1010006105501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23870044.

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 1010006105501 in words is "one trillion, ten billion, six million, one hundred five thousand, five hundred one".

Divisors: 1 17 19 131 323 2227 2489 42313 23869877 405787909 453527663 3126953887 7709970271 53158216079 59412123853 1010006105501