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220103211431 = 191271574871193
BaseRepresentation
bin1100110011111100101…
…1000111100110100111
3210001010101000122012202
43030333023013212213
512101232410231211
6245040343405115
721621235266605
oct3147713074647
9701111018182
10220103211431
1185388585524
12367a815379b
13179a91c325c
14a91dd92875
155ad32cb53b
hex333f2c79a7

220103211431 has 32 divisors (see below), whose sum is σ = 235679170560. Its totient is φ = 204965220096.

The previous prime is 220103211409. The next prime is 220103211437. The reversal of 220103211431 is 134112301022.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220103211431 is a prime.

It is a super-2 number, since 2×2201032114312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220103211437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184494971 + ... + 184496163.

It is an arithmetic number, because the mean of its divisors is an integer number (7364974080).

Almost surely, 2220103211431 is an apocalyptic number.

220103211431 is a deficient number, since it is larger than the sum of its proper divisors (15575959129).

220103211431 is a wasteful number, since it uses less digits than its factorization.

220103211431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 220103211431 its reverse (134112301022), we get a palindrome (354215512453).

The spelling of 220103211431 in words is "two hundred twenty billion, one hundred three million, two hundred eleven thousand, four hundred thirty-one".

Divisors: 1 19 127 157 487 1193 2413 2983 9253 19939 22667 61849 76459 151511 187301 378841 580991 1175131 1452721 2878709 3558719 9710293 11038829 23787227 73785857 91215587 184495567 451957313 1401931283 1733096153 11584379549 220103211431