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100010100001 = 7223314096217
BaseRepresentation
bin101110100100100010…
…0010000010100100001
3100120010212122110211211
41131021010100110201
53114310041200001
6113535523310121
710140225552400
oct1351104202441
9316125573754
10100010100001
1139461104409
121747121b341
13957a937986
144baa52d637
152905082351
hex1749110521

100010100001 has 24 divisors (see below), whose sum is σ = 116939314440. Its totient is φ = 85280735232.

The previous prime is 100010099983. The next prime is 100010100011. The reversal of 100010100001 is 100001010001.

It can be written as a sum of positive squares in 4 ways, for example, as 42837025 + 99967262976 = 6545^2 + 316176^2 .

It is not a de Polignac number, because 100010100001 - 231 = 97862616353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16083445 + ... + 16089661.

It is an arithmetic number, because the mean of its divisors is an integer number (4872471435).

Almost surely, 2100010100001 is an apocalyptic number.

It is an amenable number.

100010100001 is a deficient number, since it is larger than the sum of its proper divisors (16929214439).

100010100001 is a wasteful number, since it uses less digits than its factorization.

100010100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7873 (or 7866 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100010100001 its reverse (100001010001), we get a palindrome (200011110002).

It can be divided in two parts, 10001010000 and 1, that added together give a palindrome (10001010001).

The spelling of 100010100001 in words is "one hundred billion, ten million, one hundred thousand, one".

Divisors: 1 7 49 233 1409 1631 6217 9863 11417 43519 69041 304633 328297 1448561 2298079 8759753 10139927 16086553 61318271 70979489 429227897 2041022449 14287157143 100010100001