Search a number
-
+
100001221000011 = 3237427377026791
BaseRepresentation
bin10110101111001101011001…
…010000010011101101001011
3111010002000122000211202102100
4112233031121100103231023
5101101410000034000021
6552403532101004443
730030564323363112
oct2657153120235513
9433060560752370
10100001221000011
11299553092565a1
12b270aa66b3723
1343a50c80b0a66
141a9a12904ac79
15b863dbaa7626
hex5af359413b4b

100001221000011 has 24 divisors (see below), whose sum is σ = 148353652029024. Its totient is φ = 64864129847040.

The previous prime is 100001220999983. The next prime is 100001221000013. The reversal of 100001221000011 is 110000122100001.

It is a happy number.

It is not a de Polignac number, because 100001221000011 - 26 = 100001220999947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100001220999957 and 100001221000002.

It is not an unprimeable number, because it can be changed into a prime (100001221000013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10718026 + ... + 17744816.

It is an arithmetic number, because the mean of its divisors is an integer number (6181402167876).

Almost surely, 2100001221000011 is an apocalyptic number.

100001221000011 is a deficient number, since it is larger than the sum of its proper divisors (48352431029013).

100001221000011 is a wasteful number, since it uses less digits than its factorization.

100001221000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7069571 (or 7069568 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100001221000011 its reverse (110000122100001), we get a palindrome (210001343100012).

The spelling of 100001221000011 in words is "one hundred trillion, one billion, two hundred twenty-one million, eleven", and thus it is an aban number.

Divisors: 1 3 9 37 111 333 42737 128211 384633 1581269 4743807 7026791 14231421 21080373 63241119 259991267 779973801 2339921403 300303966967 900911900901 2702735702703 11111246777779 33333740333337 100001221000011