Search a number
-
+
21132121330101 = 3298312292381189
BaseRepresentation
bin1001100111000001101001…
…00101011101000110110101
32202211012200212110220121010
410303200310211131012311
510232212041030030401
6112535543523142433
74310513444401065
oct463406445350665
982735625426533
1021132121330101
11680809a639831
122453668814a19
13ba399aa9c8c2
14530b2b7ad3a5
15269a657dced6
hex13383495d1b5

21132121330101 has 32 divisors (see below), whose sum is σ = 29522946096000. Its totient is φ = 13427461983488.

The previous prime is 21132121330063. The next prime is 21132121330189. The reversal of 21132121330101 is 10103312123112.

It is a cyclic number.

It is not a de Polignac number, because 21132121330101 - 243 = 12336028307893 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21132121380101) 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, 7684015 + ... + 10065203.

It is an arithmetic number, because the mean of its divisors is an integer number (922592065500).

Almost surely, 221132121330101 is an apocalyptic number.

It is an amenable number.

21132121330101 is a deficient number, since it is larger than the sum of its proper divisors (8390824765899).

21132121330101 is a wasteful number, since it uses less digits than its factorization.

21132121330101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382533.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 21132121330101 its reverse (10103312123112), we get a palindrome (31235433453213).

The spelling of 21132121330101 in words is "twenty-one trillion, one hundred thirty-two billion, one hundred twenty-one million, three hundred thirty thousand, one hundred one".

Divisors: 1 3 29 83 87 249 1229 2407 3687 7221 35641 102007 106923 306021 2381189 2958203 7143567 8874609 69054481 197638687 207163443 592916061 2926481281 5731521923 8779443843 17194565769 84867957149 242897946323 254603871447 728693838969 7044040443367 21132121330101