Search a number
-
+
21241200044020 = 22511317614092701
BaseRepresentation
bin1001101010001100110100…
…01011101110011111110100
32210012122020202022201001111
410311012122023232133310
510241003434202402040
6113102023402404404
74321424511226225
oct465063213563764
983178222281044
1021241200044020
11684a384738a90
12247082ab00704
13bb106245c4c8
1453611849524c
1526c7ebaa1dea
hex13519a2ee7f4

21241200044020 has 96 divisors (see below), whose sum is σ = 50297408566272. Its totient is φ = 7465084800000.

The previous prime is 21241200043979. The next prime is 21241200044087. The reversal of 21241200044020 is 2044000214212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21241200043982 and 21241200044000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3143670 + ... + 7236370.

It is an arithmetic number, because the mean of its divisors is an integer number (523931339232).

Almost surely, 221241200044020 is an apocalyptic number.

21241200044020 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 21241200044020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25148704283136).

21241200044020 is an abundant number, since it is smaller than the sum of its proper divisors (29056208522252).

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

21241200044020 is a wasteful number, since it uses less digits than its factorization.

21241200044020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093513 (or 4093511 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 21241200044020 its reverse (2044000214212), we get a palindrome (23285200258232).

The spelling of 21241200044020 in words is "twenty-one trillion, two hundred forty-one billion, two hundred million, forty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 761 1364 1522 1705 3044 3410 3805 6820 7610 8371 15220 16742 23591 33484 41855 47182 83710 94364 117955 167420 235910 259501 471820 519002 1038004 1297505 2595010 4092701 5190020 8185402 16370804 20463505 40927010 45019711 81854020 90039422 126873731 180078844 225098555 253747462 450197110 507494924 634368655 900394220 1268737310 1395611041 2537474620 2791222082 3114545461 5582444164 6229090922 6978055205 12458181844 13956110410 15572727305 27912220820 31145454610 34260000071 62290909220 68520000142 96550909291 137040000284 171300000355 193101818582 342600000710 386203637164 482754546455 685200001420 965509092910 1062060002201 1931018185820 2124120004402 4248240008804 5310300011005 10620600022010 21241200044020