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21421320002120 = 2354312440750909
BaseRepresentation
bin1001101111011100010100…
…01010110101101001001000
32210211212011121210121212202
410313232022022311221020
510301431330410031440
6113320452450255332
74340432164504343
oct467561212655110
983755147717782
1021421320002120
116909804763495
12249b718887548
13bc5038bb487c
14540b2419945a
1527233eaa3615
hex137b8a2b5a48

21421320002120 has 64 divisors (see below), whose sum is σ = 48312726566400. Its totient is φ = 8548129258240.

The previous prime is 21421320002113. The next prime is 21421320002123. The reversal of 21421320002120 is 2120002312412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21421320002092 and 21421320002101.

It is not an unprimeable number, because it can be changed into a prime (21421320002123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420751226 + ... + 420802134.

It is an arithmetic number, because the mean of its divisors is an integer number (754886352600).

Almost surely, 221421320002120 is an apocalyptic number.

21421320002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21421320002120 is an abundant number, since it is smaller than the sum of its proper divisors (26891406564280).

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

21421320002120 is a wasteful number, since it uses less digits than its factorization.

21421320002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75758 (or 75754 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21421320002120 its reverse (2120002312412), we get a palindrome (23541322314532).

The spelling of 21421320002120 in words is "twenty-one trillion, four hundred twenty-one billion, three hundred twenty million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 431 862 1724 2155 3448 4310 8620 17240 24407 48814 50909 97628 101818 122035 195256 203636 244070 254545 407272 488140 509090 976280 1018180 2036360 10519417 21038834 21941779 42077668 43883558 52597085 84155336 87767116 105194170 109708895 175534232 210388340 219417790 420776680 438835580 877671160 1242535963 2485071926 4970143852 6212679815 9940287704 12425359630 24850719260 49701438520 535533000053 1071066000106 2142132000212 2677665000265 4284264000424 5355330000530 10710660001060 21421320002120