Search a number
-
+
21002030021322 = 23272171400695613
BaseRepresentation
bin1001100011001111010101…
…00010011111101011001010
32202100202220120201200212200
410301213222202133223022
510223044124141140242
6112400111023021030
74265226611460300
oct461475242375312
982322816650780
1021002030021322
116767a02474aa9
12243240143a776
13b9463800850c
1452870a136270
1526649e94004c
hex1319ea89faca

21002030021322 has 72 divisors (see below), whose sum is σ = 56047434298596. Its totient is φ = 5647604707584.

The previous prime is 21002030021317. The next prime is 21002030021387. The reversal of 21002030021322 is 22312003020012.

21002030021322 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 20 + 300 + 21 + 322 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20647563393681 + 354466627641 = 4543959^2 + 595371^2 .

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 = 21002030021295 and 21002030021304.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 700332813 + ... + 700362800.

Almost surely, 221002030021322 is an apocalyptic number.

21002030021322 is an abundant number, since it is smaller than the sum of its proper divisors (35045404277274).

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

21002030021322 is a wasteful number, since it uses less digits than its factorization.

21002030021322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400695652 (or 1400695642 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21002030021322 its reverse (22312003020012), we get a palindrome (43314033041334).

The spelling of 21002030021322 in words is "twenty-one trillion, two billion, thirty million, twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 714 833 882 1071 1666 2142 2499 4998 7497 14994 1400695613 2801391226 4202086839 8404173678 9804869291 12606260517 19609738582 23811825421 25212521034 29414607873 47623650842 58829215746 68634085037 71435476263 88243823619 137268170074 142870952526 166682777947 176487647238 205902255111 214306428789 333365555894 411804510222 428612857578 500048333841 617706765333 1000096667682 1166779445629 1235413530666 1500145001523 2333558891258 3000290003046 3500338336887 7000676673774 10501015010661 21002030021322