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10134003041244 = 22334120891095557
BaseRepresentation
bin1001001101111000000110…
…1001101100001111011100
31022212210122002121001201000
42103132001221230033130
52312013414234304434
633315255143150300
72064105020402655
oct223360151541734
938783562531630
1010134003041244
1132578965842a5
121178055145390
1358682b477ac4
142706ba10052c
1512891e42cb99
hex93781a6c3dc

10134003041244 has 96 divisors (see below), whose sum is σ = 26927062747200. Its totient is φ = 3294030136320.

The previous prime is 10134003041213. The next prime is 10134003041251. The reversal of 10134003041244 is 44214030043101.

10134003041244 is a `hidden beast` number, since 1 + 0 + 1 + 340 + 0 + 304 + 12 + 4 + 4 = 666.

10134003041244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 8702314 + ... + 9797870.

It is an arithmetic number, because the mean of its divisors is an integer number (280490236950).

Almost surely, 210134003041244 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 10134003041244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13463531373600).

10134003041244 is an abundant number, since it is smaller than the sum of its proper divisors (16793059705956).

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

10134003041244 is a wasteful number, since it uses less digits than its factorization.

10134003041244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097700 (or 1097692 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10134003041244 its reverse (44214030043101), we get a palindrome (54348033084345).

The spelling of 10134003041244 in words is "ten trillion, one hundred thirty-four billion, three million, forty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2089 2214 4178 4428 6267 8356 12534 18801 25068 37602 56403 75204 85649 112806 171298 225612 256947 342596 513894 770841 1027788 1095557 1541682 2191114 2312523 3083364 3286671 4382228 4625046 6573342 9250092 9860013 13146684 19720026 29580039 39440052 44917837 59160078 89835674 118320156 134753511 179671348 269507022 404260533 539014044 808521066 1212781599 1617042132 2288618573 2425563198 4577237146 4851126396 6865855719 9154474292 13731711438 20597567157 27463422876 41195134314 61792701471 82390268628 93833361493 123585402942 187666722986 247170805884 281500084479 375333445972 563000168958 844500253437 1126000337916 1689000506874 2533500760311 3378001013748 5067001520622 10134003041244