Search a number
-
+
100222132101 = 3713379922001
BaseRepresentation
bin101110101010110110…
…1000101111110000101
3100120200122121211012120
41131111231011332011
53120223331211401
6114012540040153
710145412031650
oct1352555057605
9316618554176
10100222132101
113955a865253
1217510233059
1395b2845760
144bca764897
1529189b6836
hex1755b45f85

100222132101 has 32 divisors (see below), whose sum is σ = 168912162048. Its totient is φ = 51435648000.

The previous prime is 100222132063. The next prime is 100222132111. The reversal of 100222132101 is 101231222001.

It is not a de Polignac number, because 100222132101 - 210 = 100222131077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222132111) 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, 4950900 + ... + 4971101.

It is an arithmetic number, because the mean of its divisors is an integer number (5278505064).

Almost surely, 2100222132101 is an apocalyptic number.

It is an amenable number.

100222132101 is a deficient number, since it is larger than the sum of its proper divisors (68690029947).

100222132101 is a wasteful number, since it uses less digits than its factorization.

100222132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9922061.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100222132101 its reverse (101231222001), we get a palindrome (201453354102).

The spelling of 100222132101 in words is "one hundred billion, two hundred twenty-two million, one hundred thirty-two thousand, one hundred one".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1443 3367 10101 9922001 29766003 69454007 128986013 208362021 367114037 386958039 902902091 1101342111 2569798259 2708706273 4772482481 7709394777 14317447443 33407377367 100222132101