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21203134420 = 22513415337529
BaseRepresentation
bin10011101111110011…
…100010011111010100
32000201200102211101211
4103233303202133110
5321411000300140
613423544431204
71350301445266
oct235763423724
960650384354
1021203134420
118aa0686796
124138a78504
131ccba289b0
141051dcdb36
158416c52ea
hex4efce27d4

21203134420 has 96 divisors (see below), whose sum is σ = 50049407520. Its totient is φ = 7493591040.

The previous prime is 21203134411. The next prime is 21203134423. The reversal of 21203134420 is 2443130212.

It can be written as a sum of positive squares in 16 ways, for example, as 17428752324 + 3774382096 = 132018^2 + 61436^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21203134391 and 21203134400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21203134423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546216 + ... + 583744.

It is an arithmetic number, because the mean of its divisors is an integer number (521347995).

Almost surely, 221203134420 is an apocalyptic number.

21203134420 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 21203134420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25024703760).

21203134420 is an abundant number, since it is smaller than the sum of its proper divisors (28846273100).

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

21203134420 is a wasteful number, since it uses less digits than its factorization.

21203134420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37645 (or 37643 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 21203134420 its reverse (2443130212), we get a palindrome (23646264632).

The spelling of 21203134420 in words is "twenty-one billion, two hundred three million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 53 65 82 106 130 164 205 212 260 265 410 530 533 689 820 1060 1066 1378 2132 2173 2665 2756 3445 4346 5330 6890 8692 10660 10865 13780 21730 28249 37529 43460 56498 75058 112996 141245 150116 187645 282490 375290 487877 564980 750580 975754 1538689 1951508 1989037 2439385 3077378 3978074 4878770 6154756 7693445 7956148 9757540 9945185 15386890 19890370 20002957 25857481 30773780 39780740 40005914 51714962 80011828 81550517 100014785 103429924 129287405 163101034 200029570 258574810 326202068 400059140 407752585 517149620 815505170 1060156721 1631010340 2120313442 4240626884 5300783605 10601567210 21203134420