Search a number
-
+
10130454101064 = 23311791721282239
BaseRepresentation
bin1001001101101010111000…
…0111100011110001001000
31022212110110202122020000010
42103122232013203301020
52311434132222213224
633313511045111520
72063621045041413
oct223325607436110
938773422566003
1010130454101064
11325633526aa90
1211774246b85a0
135863b41345bb
14270460a42b7a
151287b2aa4e29
hex936ae1e3c48

10130454101064 has 128 divisors (see below), whose sum is σ = 27994595328000. Its totient is φ = 3029204006400.

The previous prime is 10130454101063. The next prime is 10130454101071. The reversal of 10130454101064 is 46010145403101.

It is a super-2 number, since 2×101304541010642 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10130454101063) 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, 35752057 + ... + 36034295.

It is an arithmetic number, because the mean of its divisors is an integer number (218707776000).

Almost surely, 210130454101064 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 10130454101064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13997297664000).

10130454101064 is an abundant number, since it is smaller than the sum of its proper divisors (17864141226936).

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

10130454101064 is a wasteful number, since it uses less digits than its factorization.

10130454101064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284059 (or 284055 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 10130454101064 its reverse (46010145403101), we get a palindrome (56140599504165).

The spelling of 10130454101064 in words is "ten trillion, one hundred thirty billion, four hundred fifty-four million, one hundred one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 237 264 316 474 632 869 948 1721 1738 1896 2607 3442 3476 5163 5214 6884 6952 10326 10428 13768 18931 20652 20856 37862 41304 56793 75724 113586 135959 151448 227172 271918 282239 407877 454344 543836 564478 815754 846717 1087672 1128956 1495549 1631508 1693434 2257912 2991098 3104629 3263016 3386868 4486647 5982196 6209258 6773736 8973294 9313887 11964392 12418516 17946588 18627774 22296881 24837032 35893176 37255548 44593762 66890643 74511096 89187524 133781286 178375048 245265691 267562572 485733319 490531382 535125144 735797073 971466638 981062764 1457199957 1471594146 1942933276 1962125528 2914399914 2943188292 3885866552 5343066509 5828799828 5886376584 10686133018 11657599656 16029199527 21372266036 32058399054 38372932201 42744532072 64116798108 76745864402 115118796603 128233596216 153491728804 230237593206 306983457608 422102254211 460475186412 844204508422 920950372824 1266306762633 1688409016844 2532613525266 3376818033688 5065227050532 10130454101064