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100243222134 = 23117929365617
BaseRepresentation
bin101110101011011110…
…1100010111001110110
3100120202010022022021220
41131112331202321312
53120244231102014
6114015012051210
710146056220636
oct1352675427166
9316663268256
10100243222134
113957075a530
1217517303b06
1395b701b073
144bcd4946c6
15291a7806a9
hex1756f62e76

100243222134 has 64 divisors (see below), whose sum is σ = 222240291840. Its totient is φ = 29889400320.

The previous prime is 100243222133. The next prime is 100243222139. The reversal of 100243222134 is 431222342001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100243222133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1494894 + ... + 1560510.

It is an arithmetic number, because the mean of its divisors is an integer number (3472504560).

Almost surely, 2100243222134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100243222134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111120145920).

100243222134 is an abundant number, since it is smaller than the sum of its proper divisors (121997069706).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100243222134 is a wasteful number, since it uses less digits than its factorization.

100243222134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66005.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100243222134 its reverse (431222342001), we get a palindrome (531465564135).

The spelling of 100243222134 in words is "one hundred billion, two hundred forty-three million, two hundred twenty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 79 158 237 293 474 586 869 879 1738 1758 2607 3223 5214 6446 9669 19338 23147 46294 65617 69441 131234 138882 196851 254617 393702 509234 721787 763851 1443574 1527702 2165361 4330722 5183743 10367486 15551229 19225781 31102458 38451562 57021173 57677343 114042346 115354686 171063519 211483591 342127038 422967182 634450773 1268901546 1518836699 3037673398 4556510097 9113020194 16707203689 33414407378 50121611067 100243222134