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1131003230020 = 225298337796217
BaseRepresentation
bin10000011101010101000…
…010111011011101000100
311000010022120010000222021
4100131111002323131010
5122012243311330040
62223324204212524
7144466212556156
oct20352502733504
94003276100867
101131003230020
113a6723924644
1216324283a144
1382864c6b7b1
143ca52c60ad6
151e6476e824a
hex107550bb744

1131003230020 has 96 divisors (see below), whose sum is σ = 2487667593600. Its totient is φ = 431354993664.

The previous prime is 1131003230009. The next prime is 1131003230047. The reversal of 1131003230020 is 200323001311.

It is a junction number, because it is equal to n+sod(n) for n = 1131003229976 and 1131003230003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181917952 + ... + 181924168.

It is an arithmetic number, because the mean of its divisors is an integer number (25913204100).

Almost surely, 21131003230020 is an apocalyptic number.

1131003230020 is a gapful number since it is divisible by the number (10) 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 1131003230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243833796800).

1131003230020 is an abundant number, since it is smaller than the sum of its proper divisors (1356664363580).

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

1131003230020 is a wasteful number, since it uses less digits than its factorization.

1131003230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10117 (or 10115 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1131003230020 its reverse (200323001311), we get a palindrome (1331326231331).

The spelling of 1131003230020 in words is "one trillion, one hundred thirty-one billion, three million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 83 116 145 166 290 332 415 580 830 1660 2407 3779 4814 6217 7558 9628 12035 12434 15116 18895 24070 24868 31085 37790 48140 62170 75580 109591 124340 180293 219182 313657 360586 438364 516011 547955 627314 721172 901465 1032022 1095910 1254628 1568285 1802930 2064044 2191820 2580055 3136570 3605860 5160110 6273140 9096053 10320220 14964319 18192106 23494043 29928638 36384212 45480265 46988086 59857276 74821595 90960530 93976172 117470215 149643190 181921060 234940430 299286380 469880860 681327247 1362654494 1950005569 2725308988 3406636235 3900011138 6813272470 7800022276 9750027845 13626544940 19500055690 39000111380 56550161501 113100323002 226200646004 282750807505 565501615010 1131003230020