Search a number
-
+
21607435216101 = 3729198131790753
BaseRepresentation
bin1001110100110110111111…
…00000000010010011100101
32211111122120022102002200010
410322123133200002103211
510313004011403403401
6113542152501240433
74360041246641550
oct472333740022345
984448508362603
1021607435216101
116980730969419
12250b7ba403119
13c09759734517
14549b3c1d5697
152770d40a1ed6
hex13a6df8024e5

21607435216101 has 32 divisors (see below), whose sum is σ = 34062719765760. Its totient is φ = 11920735217664.

The previous prime is 21607435216069. The next prime is 21607435216111. The reversal of 21607435216101 is 10161253470612.

It is not a de Polignac number, because 21607435216101 - 25 = 21607435216069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21607435216101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21607435216111) 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, 11170741 + ... + 12961493.

It is an arithmetic number, because the mean of its divisors is an integer number (1064459992680).

Almost surely, 221607435216101 is an apocalyptic number.

21607435216101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21607435216101 is a deficient number, since it is larger than the sum of its proper divisors (12455284549659).

21607435216101 is a wasteful number, since it uses less digits than its factorization.

21607435216101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810605.

The product of its (nonzero) digits is 60480, while the sum is 39.

Adding to 21607435216101 its reverse (10161253470612), we get a palindrome (31768688686713).

The spelling of 21607435216101 in words is "twenty-one trillion, six hundred seven billion, four hundred thirty-five million, two hundred sixteen thousand, one hundred one".

Divisors: 1 3 7 21 29 87 203 609 19813 59439 138691 416073 574577 1723731 1790753 4022039 5372259 12066117 12535271 37605813 51931837 155795511 363522859 1090568577 35480189189 106440567567 248361324323 745083972969 1028925486481 3086776459443 7202478405367 21607435216101