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101210436426 = 231110914994421
BaseRepresentation
bin101111001000010011…
…1001011001101001010
3100200020112021212212110
41132100213023031022
53124234332431201
6114255002523150
710212042341451
oct1362047131512
9320215255773
10101210436426
1139a1771a990
12177472064b6
13970c519308
144c81b09b98
1529756376d6
hex17909cb34a

101210436426 has 64 divisors (see below), whose sum is σ = 224346672000. Its totient is φ = 30184185600.

The previous prime is 101210436401. The next prime is 101210436487. The reversal of 101210436426 is 624634012101.

101210436426 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101210436393 and 101210436402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1024696 + ... + 1119116.

It is an arithmetic number, because the mean of its divisors is an integer number (3505416750).

Almost surely, 2101210436426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101210436426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112173336000).

101210436426 is an abundant number, since it is smaller than the sum of its proper divisors (123136235574).

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

101210436426 is a wasteful number, since it uses less digits than its factorization.

101210436426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94695.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 101210436426 its reverse (624634012101), we get a palindrome (725844448527).

The spelling of 101210436426 in words is "one hundred one billion, two hundred ten million, four hundred thirty-six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 109 149 218 298 327 447 654 894 1199 1639 2398 3278 3597 4917 7194 9834 16241 32482 48723 94421 97446 178651 188842 283263 357302 535953 566526 1038631 1071906 2077262 3115893 6231786 10291889 14068729 20583778 28137458 30875667 42206187 61751334 84412374 113210779 154756019 226421558 309512038 339632337 464268057 679264674 928536114 1533491461 3066982922 4600474383 9200948766 16868406071 33736812142 50605218213 101210436426