Search a number
-
+
20000021121020 = 225191031087470089
BaseRepresentation
bin1001000110000100111100…
…01001111000011111111100
32121210222112212012120020202
410203002132021320133330
510110140020401333040
6110311514410503032
74132645111400123
oct443023611703774
977728485176222
1020000021121020
116410a63583626
1222b017a734a78
13b20cbc79a495
144d2012d98aba
1524a3a6b59015
hex12309e2787fc

20000021121020 has 96 divisors (see below), whose sum is σ = 44680963891200. Its totient is φ = 7498452662784.

The previous prime is 20000021120951. The next prime is 20000021121049. The reversal of 20000021121020 is 2012112000002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20000021120992 and 20000021121010.

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 31 ways as a sum of consecutive naturals, for example, 42310136 + ... + 42780224.

It is an arithmetic number, because the mean of its divisors is an integer number (465426707200).

Almost surely, 220000021121020 is an apocalyptic number.

20000021121020 is a gapful number since it is divisible by the number (20) 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 20000021121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22340481945600).

20000021121020 is an abundant number, since it is smaller than the sum of its proper divisors (24680942770180).

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

20000021121020 is a wasteful number, since it uses less digits than its factorization.

20000021121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471307 (or 471305 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20000021121020 its reverse (2012112000002), we get a palindrome (22012133121022).

The spelling of 20000021121020 in words is "twenty trillion, twenty-one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 103 190 206 380 412 515 1030 1087 1957 2060 2174 3914 4348 5435 7828 9785 10870 19570 20653 21740 39140 41306 82612 103265 111961 206530 223922 413060 447844 470089 559805 940178 1119610 1880356 2127259 2239220 2350445 4254518 4700890 8509036 8931691 9401780 10636295 17863382 21272590 35726764 42545180 44658455 48419167 89316910 96838334 178633820 193676668 242095835 484191670 510986743 919964173 968383340 1021973486 1839928346 2043946972 2554933715 3679856692 4599820865 5109867430 9199641730 9708748117 10219734860 18399283460 19417496234 38834992468 48543740585 52631634529 97087481170 105263269058 194174962340 210526538116 263158172645 526316345290 1000001056051 1052632690580 2000002112102 4000004224204 5000005280255 10000010560510 20000021121020