Search a number
-
+
21021230120020 = 225133112172143051
BaseRepresentation
bin1001100011110011000101…
…11101000011110001010100
32202102121110200002202211021
410301321202331003301110
510223402434402320040
6112413004135450524
74266506451561364
oct461714275036124
982377420082737
1021021230120020
116775065420369
12243607b526a44
13b963a7a66170
1452960c0ba9a4
15266c2535324a
hex131e62f43c54

21021230120020 has 96 divisors (see below), whose sum is σ = 49114225714176. Its totient is φ = 7505132544000.

The previous prime is 21021230120003. The next prime is 21021230120021. The reversal of 21021230120020 is 2002103212012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21021230119976 and 21021230120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21021230120021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8737495 + ... + 10880545.

It is an arithmetic number, because the mean of its divisors is an integer number (511606517856).

Almost surely, 221021230120020 is an apocalyptic number.

21021230120020 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 21021230120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24557112857088).

21021230120020 is an abundant number, since it is smaller than the sum of its proper divisors (28092995594156).

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

21021230120020 is a wasteful number, since it uses less digits than its factorization.

21021230120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144321 (or 2144319 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21021230120020 its reverse (2002103212012), we get a palindrome (23023333332032).

The spelling of 21021230120020 in words is "twenty-one trillion, twenty-one billion, two hundred thirty million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 1217 1612 2015 2434 4030 4868 6085 8060 12170 15821 24340 31642 37727 63284 75454 79105 150908 158210 188635 316420 377270 490451 754540 980902 1961804 2143051 2452255 4286102 4904510 8572204 9809020 10715255 21430510 27859663 42861020 55719326 66434581 111438652 132869162 139298315 265738324 278596630 332172905 557193260 664345810 863649553 1328691620 1727299106 2608093067 3454598212 4318247765 5216186134 8636495530 10432372268 13040465335 17272991060 26080930670 33905209871 52161861340 67810419742 80850885077 135620839484 161701770154 169526049355 323403540308 339052098710 404254425385 678104197420 808508850770 1051061506001 1617017701540 2102123012002 4204246024004 5255307530005 10510615060010 21021230120020