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21211032130020 = 22325173561678949
BaseRepresentation
bin1001101001010100101000…
…00010010001000111100100
32210002202101022001212222100
410310222110002101013210
510240010143211130040
6113040114051332100
74316306102210205
oct464522402210744
983082338055870
1021211032130020
116838603737757
122466a0b8b1030
13bab265365715
14534895a1b5ac
1526bb3335ab30
hex134a940911e4

21211032130020 has 72 divisors (see below), whose sum is σ = 64340596265400. Its totient is φ = 5656234314240.

The previous prime is 21211032129977. The next prime is 21211032130021. The reversal of 21211032130020 is 2003123011212.

21211032130020 is a `hidden beast` number, since 2 + 1 + 21 + 1 + 0 + 321 + 300 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 964433987136 + 20246598142884 = 982056^2 + 4499622^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21211032129975 and 21211032130002.

It is not an unprimeable number, because it can be changed into a prime (21211032130021) 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 23 ways as a sum of consecutive naturals, for example, 30901506 + ... + 31580454.

It is an arithmetic number, because the mean of its divisors is an integer number (893619392575).

Almost surely, 221211032130020 is an apocalyptic number.

21211032130020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211032130020 is an abundant number, since it is smaller than the sum of its proper divisors (43129564135380).

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

21211032130020 is a wasteful number, since it uses less digits than its factorization.

21211032130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852525 (or 852520 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21211032130020 its reverse (2003123011212), we get a palindrome (23214155141232).

The spelling of 21211032130020 in words is "twenty-one trillion, two hundred eleven billion, thirty-two million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 173561 347122 520683 678949 694244 867805 1041366 1357898 1562049 1735610 2036847 2082732 2603415 2715796 3124098 3394745 3471220 4073694 5206830 6110541 6248196 6789490 7810245 8147388 10184235 10413660 12221082 13578980 15620490 20368470 24442164 30552705 31240980 40736940 61105410 122210820 117839067389 235678134778 353517202167 471356269556 589195336945 707034404334 1060551606501 1178390673890 1414068808668 1767586010835 2121103213002 2356781347780 3535172021670 4242206426004 5302758032505 7070344043340 10605516065010 21211032130020