Search a number
-
+
20001111312 = 24371337123757
BaseRepresentation
bin10010101000001010…
…001011110100010000
31220121220121201200110
4102220022023310100
5311430241030222
613104405121320
71305434432610
oct225012136420
956556551613
1020001111312
118534118a66
123a623b9240
131b699a6710
14d7a4d4a40
157c0dda30c
hex4a828bd10

20001111312 has 160 divisors (see below), whose sum is σ = 65312541952. Its totient is φ = 5132408832.

The previous prime is 20001111307. The next prime is 20001111343. The reversal of 20001111312 is 21311110002.

It is a super-2 number, since 2×200011113122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99738 + ... + 223494.

Almost surely, 220001111312 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 20001111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32656270976).

20001111312 is an abundant number, since it is smaller than the sum of its proper divisors (45311430640).

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

20001111312 is a wasteful number, since it uses less digits than its factorization.

20001111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123825 (or 123819 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 20001111312 its reverse (21311110002), we get a palindrome (41312221314).

The spelling of 20001111312 in words is "twenty billion, one million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 37 39 42 48 52 56 74 78 84 91 104 111 112 148 156 168 182 208 222 259 273 296 312 336 364 444 481 518 546 592 624 728 777 888 962 1036 1092 1443 1456 1554 1776 1924 2072 2184 2886 3108 3367 3848 4144 4368 5772 6216 6734 7696 10101 11544 12432 13468 20202 23088 26936 40404 53872 80808 123757 161616 247514 371271 495028 742542 866299 990056 1485084 1608841 1732598 1980112 2598897 2970168 3217682 3465196 4579009 4826523 5197794 5940336 6435364 6930392 9158018 9653046 10395588 11261887 12870728 13737027 13860784 18316036 19306092 20791176 22523774 25741456 27474054 32053063 33785661 36632072 38612184 41582352 45047548 54948108 59527117 64106126 67571322 73264144 77224368 90095096 96159189 109896216 119054234 128212252 135142644 178581351 180190192 192318378 219792432 238108468 256424504 270285288 357162702 384636756 416689819 476216936 512849008 540570576 714325404 769273512 833379638 952433872 1250069457 1428650808 1538547024 1666759276 2500138914 2857301616 3333518552 5000277828 6667037104 10000555656 20001111312