Search a number
-
+
10011000020112 = 2432713763965203
BaseRepresentation
bin1001000110101101111000…
…0110011001110010010000
31022110001010210201011122200
42101223132012121302100
52303010012001120422
633142553453403200
72052161625102630
oct221533606316220
938401123634580
1010011000020112
11320a706585a33
121158247799500
1357805808c070
1426876c0066c0
151256209d82ac
hex91ade199c90

10011000020112 has 120 divisors (see below), whose sum is σ = 34482333447744. Its totient is φ = 2640263738112.

The previous prime is 10011000020101. The next prime is 10011000020113. The reversal of 10011000020112 is 21102000011001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10011000020094 and 10011000020103.

It is not an unprimeable number, because it can be changed into a prime (10011000020113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381969498 + ... + 381995705.

Almost surely, 210011000020112 is an apocalyptic number.

10011000020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011000020112 is an abundant number, since it is smaller than the sum of its proper divisors (24471333427632).

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

10011000020112 is a wasteful number, since it uses less digits than its factorization.

10011000020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763965237 (or 763965228 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10011000020112 its reverse (21102000011001), we get a palindrome (31113000031113).

The spelling of 10011000020112 in words is "ten trillion, eleven billion, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 763965203 1527930406 2291895609 3055860812 4583791218 5347756421 6111721624 6875686827 9167582436 9931547639 10695512842 12223443248 13751373654 16043269263 18335164872 19863095278 21391025684 27502747308 29794642917 32086538526 36670329744 39726190556 42782051368 48129807789 55005494616 59589285834 64173077052 69520833473 79452381112 85564102736 89383928751 96259615578 110010989232 119178571668 128346154104 139041666946 158904762224 178767857502 192519231156 208562500419 238357143336 256692308208 278083333892 357535715004 385038462312 417125000838 476714286672 556166667784 625687501257 715071430008 770076924624 834250001676 1112333335568 1251375002514 1430142860016 1668500003352 2502750005028 3337000006704 5005500010056 10011000020112