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21355120540 = 22513237170759
BaseRepresentation
bin10011111000110111…
…010100011110011100
32001010021102112011101
4103320313110132130
5322213402324130
613451014202444
71354125346435
oct237067243634
961107375141
1021355120540
119069455156
12417b953424
132024371900
14106827448c
1584ebe81ca
hex4f8dd479c

21355120540 has 72 divisors (see below), whose sum is σ = 49873531680. Its totient is φ = 7671815424.

The previous prime is 21355120517. The next prime is 21355120541. The reversal of 21355120540 is 4502155312.

It is a junction number, because it is equal to n+sod(n) for n = 21355120499 and 21355120508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21355120541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39681 + ... + 210439.

It is an arithmetic number, because the mean of its divisors is an integer number (692687940).

Almost surely, 221355120540 is an apocalyptic number.

21355120540 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 21355120540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24936765840).

21355120540 is an abundant number, since it is smaller than the sum of its proper divisors (28518411140).

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

21355120540 is a wasteful number, since it uses less digits than its factorization.

21355120540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170831 (or 170816 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 21355120540 its reverse (4502155312), we get a palindrome (25857275852).

The spelling of 21355120540 in words is "twenty-one billion, three hundred fifty-five million, one hundred twenty thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 169 185 260 338 370 481 676 740 845 962 1690 1924 2405 3380 4810 6253 9620 12506 25012 31265 62530 125060 170759 341518 683036 853795 1707590 2219867 3415180 4439734 6318083 8879468 11099335 12636166 22198670 25272332 28858271 31590415 44397340 57716542 63180830 82135079 115433084 126361660 144291355 164270158 288582710 328540316 410675395 577165420 821350790 1067756027 1642701580 2135512054 4271024108 5338780135 10677560270 21355120540