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10010202444 = 223211371674091
BaseRepresentation
bin10010101001010011…
…11001000101001100
3221211121221222020200
421110221321011030
5131000102434234
64333145213500
7503030213454
oct112451710514
927747858220
1010010202444
114277553290
121b34491290
13c36b50218
146ad65ad64
153d8c25d99
hex254a7914c

10010202444 has 144 divisors (see below), whose sum is σ = 28526674176. Its totient is φ = 2933020800.

The previous prime is 10010202443. The next prime is 10010202473. The reversal of 10010202444 is 44420201001.

10010202444 is a `hidden beast` number, since 10 + 0 + 10 + 202 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10010202443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2444839 + ... + 2448929.

It is an arithmetic number, because the mean of its divisors is an integer number (198101904).

Almost surely, 210010202444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010202444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14263337088).

10010202444 is an abundant number, since it is smaller than the sum of its proper divisors (18516471732).

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

10010202444 is a wasteful number, since it uses less digits than its factorization.

10010202444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10010202444 its reverse (44420201001), we get a palindrome (54430403445).

The spelling of 10010202444 in words is "ten billion, ten million, two hundred two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 167 198 222 333 334 396 407 444 501 666 668 814 1002 1221 1332 1503 1628 1837 2004 2442 3006 3663 3674 4091 4884 5511 6012 6179 7326 7348 8182 11022 12273 12358 14652 16364 16533 18537 22044 24546 24716 33066 36819 37074 45001 49092 55611 66132 67969 73638 74148 90002 111222 135003 135938 147276 151367 180004 203907 222444 270006 271876 302734 405009 407814 454101 540012 605468 611721 683197 810018 815628 908202 1223442 1362303 1366394 1620036 1665037 1816404 2049591 2446884 2724606 2732788 3330074 4099182 4995111 5449212 6148773 6660148 7515167 8198364 9990222 12297546 14985333 15030334 19980444 22545501 24595092 25278289 29970666 30060668 45091002 50556578 59941332 67636503 75834867 90182004 101113156 135273006 151669734 227504601 270546012 278061179 303339468 455009202 556122358 834183537 910018404 1112244716 1668367074 2502550611 3336734148 5005101222 10010202444