Search a number
-
+
10001300112 = 2432671036619
BaseRepresentation
bin10010101000001111…
…11011101010010000
3221211000012200112200
421110013323222100
5130440313100422
64332230323200
7502561435236
oct112407735220
927730180480
1010001300112
114272522891
121b314b9500
13c3505417b
146ac3c0956
153d80682ac
hex2541fba90

10001300112 has 60 divisors (see below), whose sum is σ = 28407534480. Its totient is φ = 3284005824.

The previous prime is 10001300083. The next prime is 10001300119. The reversal of 10001300112 is 21100310001.

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 = 10001300094 and 10001300103.

It is not an unprimeable number, because it can be changed into a prime (10001300119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 508662 + ... + 527957.

It is an arithmetic number, because the mean of its divisors is an integer number (473458908).

Almost surely, 210001300112 is an apocalyptic number.

10001300112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001300112 is an abundant number, since it is smaller than the sum of its proper divisors (18406234368).

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

10001300112 is a wasteful number, since it uses less digits than its factorization.

10001300112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036700 (or 1036691 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10001300112 its reverse (21100310001), we get a palindrome (31101610113).

The spelling of 10001300112 in words is "ten billion, one million, three hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4824 9648 1036619 2073238 3109857 4146476 6219714 8292952 9329571 12439428 16585904 18659142 24878856 37318284 49757712 69453473 74636568 138906946 149273136 208360419 277813892 416720838 555627784 625081257 833441676 1111255568 1250162514 1666883352 2500325028 3333766704 5000650056 10001300112