Search a number
-
+
21201012000020 = 22553239388121563
BaseRepresentation
bin1001101001000001111101…
…10010100000010100010100
32210001210111222102112200102
410310200332302200110110
510234324133033000040
6113031335505233232
74315502561415206
oct464407662402424
983053458375612
1021201012000020
116834331623786
122464a94032818
13baa32944a908
145341c4d38776
1526b748823515
hex13483eca0514

21201012000020 has 96 divisors (see below), whose sum is σ = 45565815375360. Its totient is φ = 8283064724480.

The previous prime is 21201012000013. The next prime is 21201012000067. The reversal of 21201012000020 is 2000021010212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21201011999965 and 21201012000010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 983201759 + ... + 983223321.

It is an arithmetic number, because the mean of its divisors is an integer number (474643910160).

Almost surely, 221201012000020 is an apocalyptic number.

21201012000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201012000020 is an abundant number, since it is smaller than the sum of its proper divisors (24364803375340).

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

21201012000020 is a wasteful number, since it uses less digits than its factorization.

21201012000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25745 (or 25743 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21201012000020 its reverse (2000021010212), we get a palindrome (23201033010232).

The spelling of 21201012000020 in words is "twenty-one trillion, two hundred one billion, twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 53 106 212 239 265 478 530 956 1060 1195 2390 3881 4780 7762 12667 15524 19405 21563 25334 38810 43126 50668 63335 77620 86252 107815 126670 205693 215630 253340 411386 431260 822772 927559 1028465 1142839 1855118 2056930 2285678 3710236 4113860 4571356 4637795 5153557 5714195 9275590 10307114 11428390 18551180 20614228 22856780 25767785 49160627 51535570 83686003 98321254 103071140 167372006 196642508 245803135 273138521 334744012 418430015 491606270 546277042 836860030 983212540 1092554084 1365692605 1673720060 2731385210 4435358159 5462770420 8870716318 17741432636 20000954717 22176790795 40001909434 44353581590 80003818868 88707163180 100004773585 200009547170 400019094340 1060050600001 2120101200002 4240202400004 5300253000005 10600506000010 21201012000020