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21240200400 = 2435217700167
BaseRepresentation
bin10011110010000000…
…111011110011010000
32000211021011222100220
4103302000323303100
5321444442403100
613431351113040
71351231503336
oct236200736320
960737158326
1021240200400
11900a5a2a31
124149372780
132006605c23
141056cbbb56
15844a97aa0
hex4f203bcd0

21240200400 has 60 divisors (see below), whose sum is σ = 68039445792. Its totient is φ = 5664053120.

The previous prime is 21240200389. The next prime is 21240200413. The reversal of 21240200400 is 400204212.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×212402004002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21240200400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8848884 + ... + 8851283.

Almost surely, 221240200400 is an apocalyptic number.

21240200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21240200400 is an abundant number, since it is smaller than the sum of its proper divisors (46799245392).

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

21240200400 is a wasteful number, since it uses less digits than its factorization.

21240200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17700188 (or 17700177 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 21240200400 its reverse (400204212), we get a palindrome (21640404612).

The spelling of 21240200400 in words is "twenty-one billion, two hundred forty million, two hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 17700167 35400334 53100501 70800668 88500835 106201002 141601336 177001670 212402004 265502505 283202672 354003340 424804008 442504175 531005010 708006680 849608016 885008350 1062010020 1327512525 1416013360 1770016700 2124020040 2655025050 3540033400 4248040080 5310050100 7080066800 10620100200 21240200400