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21353510500 = 2253723265261
BaseRepresentation
bin10011111000110001…
…001011011001100100
32001010011101201121021
4103320301023121210
5322212444314000
613450515500524
71354105562440
oct237061133144
961104351537
1021353510500
119068555543
12417b2b7744
132023c29b1a
141067d75820
1584e9cb11a
hex4f8c4b664

21353510500 has 96 divisors (see below), whose sum is σ = 55615891968. Its totient is φ = 7002864000.

The previous prime is 21353510471. The next prime is 21353510509. The reversal of 21353510500 is 501535312.

It is a super-2 number, since 2×213535105002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (21353510509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52131 + ... + 213130.

It is an arithmetic number, because the mean of its divisors is an integer number (579332208).

Almost surely, 221353510500 is an apocalyptic number.

21353510500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21353510500 is an abundant number, since it is smaller than the sum of its proper divisors (34262381468).

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

21353510500 is a wasteful number, since it uses less digits than its factorization.

21353510500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265310 (or 265298 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The spelling of 21353510500 in words is "twenty-one billion, three hundred fifty-three million, five hundred ten thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 125 140 161 175 230 250 322 350 460 500 575 644 700 805 875 1150 1610 1750 2300 2875 3220 3500 4025 5750 8050 11500 16100 20125 40250 80500 265261 530522 1061044 1326305 1856827 2652610 3713654 5305220 6101003 6631525 7427308 9284135 12202006 13263050 18568270 24404012 26526100 30505015 33157625 37136540 42707021 46420675 61010030 66315250 85414042 92841350 122020060 132630500 152525075 170828084 185682700 213535105 232103375 305050150 427070210 464206750 610100300 762625375 854140420 928413500 1067675525 1525250750 2135351050 3050501500 4270702100 5338377625 10676755250 21353510500