Search a number
-
+
101223010121 = 173173101109239
BaseRepresentation
bin101111001000101011…
…1001000111101001001
3100200021101221200201212
41132101113020331021
53124301042310441
6114300132222505
710212254250452
oct1362127107511
9320241850655
10101223010121
1139a23828772
121774b46aa35
139711ccc47c
144c83660129
1529767bceeb
hex17915c8f49

101223010121 has 64 divisors (see below), whose sum is σ = 114777907200. Its totient is φ = 88833024000.

The previous prime is 101223010117. The next prime is 101223010127. The reversal of 101223010121 is 121010322101.

It is not a de Polignac number, because 101223010121 - 22 = 101223010117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101223010096 and 101223010105.

It is not an unprimeable number, because it can be changed into a prime (101223010127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 423527120 + ... + 423527358.

It is an arithmetic number, because the mean of its divisors is an integer number (1793404800).

Almost surely, 2101223010121 is an apocalyptic number.

It is an amenable number.

101223010121 is a deficient number, since it is larger than the sum of its proper divisors (13554897079).

101223010121 is a wasteful number, since it uses less digits than its factorization.

101223010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101223010121 its reverse (121010322101), we get a palindrome (222233332222).

The spelling of 101223010121 in words is "one hundred one billion, two hundred twenty-three million, ten thousand, one hundred twenty-one".

Divisors: 1 17 31 73 101 109 239 527 1241 1717 1853 2263 3131 3379 4063 7373 7409 7957 11009 17447 24139 26051 38471 53227 57443 125341 125953 135269 187153 228563 246667 296599 341279 410363 442867 540857 748309 803657 807581 1762147 1901723 2631151 3885571 4193339 5801743 9194569 12721253 13662169 13728877 24913367 29956499 32329291 44729567 54626557 58953413 81565681 192074023 423527239 928651469 1002208021 1386616577 3265258391 5954294713 101223010121