Search a number
-
+
10515001104 = 24323113117981
BaseRepresentation
bin10011100101011111…
…00010111100010000
31000010210211101211100
421302233202330100
5133013320013404
64455220544400
7521400014616
oct116257427420
930123741740
1010515001104
114506497a63
122055552100
13cb75c555a
1471a7016b6
154181dad39
hex272be2f10

10515001104 has 120 divisors (see below), whose sum is σ = 30610255104. Its totient is φ = 3365856000.

The previous prime is 10515001099. The next prime is 10515001111. The reversal of 10515001104 is 40110051501.

It is a happy number.

10515001104 is a `hidden beast` number, since 1 + 0 + 51 + 500 + 110 + 4 = 666.

10515001104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105150011042 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575794 + ... + 593774.

Almost surely, 210515001104 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 10515001104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15305127552).

10515001104 is an abundant number, since it is smaller than the sum of its proper divisors (20095254000).

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

10515001104 is a wasteful number, since it uses less digits than its factorization.

10515001104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18157 (or 18148 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 10515001104 its reverse (40110051501), we get a palindrome (50625052605).

The spelling of 10515001104 in words is "ten billion, five hundred fifteen million, one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 131 144 186 248 262 279 372 393 496 524 558 744 786 1048 1116 1179 1488 1572 2096 2232 2358 3144 4061 4464 4716 6288 8122 9432 12183 16244 17981 18864 24366 32488 35962 36549 48732 53943 64976 71924 73098 97464 107886 143848 146196 161829 194928 215772 287696 292392 323658 431544 557411 584784 647316 863088 1114822 1294632 1672233 2229644 2355511 2589264 3344466 4459288 4711022 5016699 6688932 7066533 8918576 9422044 10033398 13377864 14133066 18844088 20066796 21199599 26755728 28266132 37688176 40133592 42399198 56532264 73020841 80267184 84798396 113064528 146041682 169596792 219062523 292083364 339193584 438125046 584166728 657187569 876250092 1168333456 1314375138 1752500184 2628750276 3505000368 5257500552 10515001104