Search a number
-
+
1500011106012 = 2232194183644431
BaseRepresentation
bin10101110100111111101…
…000010000111011011100
312022101210100112101022100
4111310333220100323130
5144034010320343022
63105032351445100
7213241450012416
oct25647750207334
95271710471270
101500011106012
11529173189511
12202866826790
13ab5b1804703
145285ad1b9b6
15290433401ac
hex15d3fa10edc

1500011106012 has 144 divisors (see below), whose sum is σ = 4137872094720. Its totient is φ = 456565766400.

The previous prime is 1500011106007. The next prime is 1500011106043. The reversal of 1500011106012 is 2106011100051.

It is a happy number.

1500011106012 is a `hidden beast` number, since 1 + 50 + 0 + 0 + 1 + 1 + 10 + 601 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2005437 + ... + 2649867.

It is an arithmetic number, because the mean of its divisors is an integer number (28735222880).

Almost surely, 21500011106012 is an apocalyptic number.

1500011106012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1500011106012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068936047360).

1500011106012 is an abundant number, since it is smaller than the sum of its proper divisors (2637860988708).

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

1500011106012 is a wasteful number, since it uses less digits than its factorization.

1500011106012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644584 (or 644579 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 1500011106012 its reverse (2106011100051), we get a palindrome (3606022206063).

The spelling of 1500011106012 in words is "one trillion, five hundred billion, eleven million, one hundred six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 41 57 76 82 83 114 123 164 166 171 228 246 249 332 342 369 492 498 684 738 747 779 996 1476 1494 1558 1577 2337 2988 3116 3154 3403 4674 4731 6308 6806 7011 9348 9462 10209 13612 14022 14193 18924 20418 28044 28386 30627 40836 56772 61254 64657 122508 129314 193971 258628 387942 581913 644431 775884 1163826 1288862 1933293 2327652 2577724 3866586 5799879 7733172 11599758 12244189 23199516 24488378 26421671 36732567 48976756 52843342 53487773 73465134 79265013 105686684 106975546 110197701 146930268 158530026 160463319 213951092 220395402 237795039 317060052 320926638 440790804 475590078 481389957 502011749 641853276 951180156 962779914 1004023498 1016267687 1506035247 1925559828 2008046996 2032535374 2192998693 3012070494 3048803061 4065070748 4385997386 4518105741 6024140988 6097606122 6578996079 8771994772 9036211482 9146409183 12195212244 13157992158 18072422964 18292818366 19736988237 26315984316 36585636732 39473976474 41666975167 78947952948 83333950334 125000925501 166667900668 250001851002 375002776503 500003702004 750005553006 1500011106012