Search a number
-
+
331210212101013 = 37711492575801051
BaseRepresentation
bin100101101001110111110001…
…1000010011100101110010101
31121102201101110011012221100010
41023103233203002130232111
5321403022003244213023
63132231512040510433
7126523101550251510
oct11323574302345625
91542641404187303
10331210212101013
119659650a10a273
1231192911a7b419
13112a6cb1a4c48b
145bb09346c1d77
15284580eb2b093
hex12d3be309cb95

331210212101013 has 64 divisors (see below), whose sum is σ = 517249641369600. Its totient is φ = 184623753216000.

The previous prime is 331210212101009. The next prime is 331210212101033. The reversal of 331210212101013 is 310101212012133.

It is not a de Polignac number, because 331210212101013 - 22 = 331210212101009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331210212101033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54194338 + ... + 59995388.

It is an arithmetic number, because the mean of its divisors is an integer number (8082025646400).

Almost surely, 2331210212101013 is an apocalyptic number.

It is an amenable number.

331210212101013 is a deficient number, since it is larger than the sum of its proper divisors (186039429268587).

331210212101013 is a wasteful number, since it uses less digits than its factorization.

331210212101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5801538.

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

Adding to 331210212101013 its reverse (310101212012133), we get a palindrome (641311424113146).

The spelling of 331210212101013 in words is "three hundred thirty-one trillion, two hundred ten billion, two hundred twelve million, one hundred one thousand, thirteen".

Divisors: 1 3 7 21 71 149 213 257 447 497 771 1043 1491 1799 3129 5397 10579 18247 31737 38293 54741 74053 114879 127729 222159 268051 383187 804153 2718803 5801051 8156409 17403153 19031621 40607357 57094863 121822071 411874621 864356599 1235623863 1490870107 2593069797 2883122347 4472610321 6050496193 8649367041 10436090749 18151488579 31308272247 61369318529 105851777597 184107955587 222139645943 317555332791 429585229703 666418937829 740962443179 1288755689109 1554977521601 2222887329537 4664932564803 15771914861953 47315744585859 110403404033671 331210212101013