Search a number
-
+
100001009977 = 11235373102161
BaseRepresentation
bin101110100100010000…
…1100101000100111001
3100120010020112122200021
41131020201211010321
53114300224304402
6113535000410441
710140055363021
oct1351041450471
9316106478607
10100001009977
1139456a659a0
121746a176a21
139578aa436b
144ba9244a81
152904388d37
hex1748865139

100001009977 has 32 divisors (see below), whose sum is σ = 117572933376. Its totient is φ = 84147148800.

The previous prime is 100001009971. The next prime is 100001009987. The reversal of 100001009977 is 779900100001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-100001009977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001009971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 927777 + ... + 1029937.

It is an arithmetic number, because the mean of its divisors is an integer number (3674154168).

Almost surely, 2100001009977 is an apocalyptic number.

It is an amenable number.

100001009977 is a deficient number, since it is larger than the sum of its proper divisors (17571923399).

100001009977 is a wasteful number, since it uses less digits than its factorization.

100001009977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102321.

The product of its (nonzero) digits is 3969, while the sum is 34.

Adding to 100001009977 its reverse (779900100001), we get a palindrome (879901109978).

The spelling of 100001009977 in words is "one hundred billion, one million, nine thousand, nine hundred seventy-seven".

Divisors: 1 11 23 53 73 253 583 803 1219 1679 3869 13409 18469 42559 88987 102161 978857 1123771 2349703 5414533 7457753 25846733 59559863 82035283 124534259 171528319 395260909 1369876849 1886811509 4347869999 9091000907 100001009977