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2221012311231 = 373779129128027
BaseRepresentation
bin100000010100011110101…
…001100101110010111111
321212022211011111112122210
4200110132221211302333
5242342113122424411
64420152521511503
7316314520103460
oct40243651456277
97768734445583
102221012311231
11786a2060345a
122ba544642593
13131595bb8bac
14796d748ad67
153cb90ed1ca6
hex2051ea65cbf

2221012311231 has 64 divisors (see below), whose sum is σ = 3522720481280. Its totient is φ = 1218229683840.

The previous prime is 2221012311191. The next prime is 2221012311239. The reversal of 2221012311231 is 1321132101222.

It is not a de Polignac number, because 2221012311231 - 29 = 2221012310719 is a prime.

It is a super-2 number, since 2×22210123112312 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2221012311198 and 2221012311207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221012311239) 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, 79231440 + ... + 79259466.

It is an arithmetic number, because the mean of its divisors is an integer number (55042507520).

Almost surely, 22221012311231 is an apocalyptic number.

2221012311231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2221012311231 is a deficient number, since it is larger than the sum of its proper divisors (1301708170049).

2221012311231 is a wasteful number, since it uses less digits than its factorization.

2221012311231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29444.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 2221012311231 its reverse (1321132101222), we get a palindrome (3542144412453).

The spelling of 2221012311231 in words is "two trillion, two hundred twenty-one billion, twelve million, three hundred eleven thousand, two hundred thirty-one".

Divisors: 1 3 7 21 37 79 111 237 259 553 777 1291 1659 2923 3873 8769 9037 20461 27111 28027 47767 61383 84081 101989 143301 196189 305967 334369 588567 713923 1003107 1036999 2141769 2214133 3110997 3773593 6642399 7258993 11320779 15498931 21776979 26415151 36182857 46496793 79245453 81922921 108548571 245768763 253279999 573460447 759839997 1338765709 1720381341 2858445703 4016297127 8575337109 9371359963 20009119921 28114079889 60027359763 105762491011 317287473033 740337437077 2221012311231