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12202331414 = 2713314874441
BaseRepresentation
bin10110101110101000…
…01100110100010110
31011111101211122212112
423113110030310112
5144442244101124
65334454151022
7611246051150
oct132724146426
934441748775
1012202331414
1151a1997219
122446652472
1311c6057060
1483a849ad0
154b63da90e
hex2d750cd16

12202331414 has 64 divisors (see below), whose sum is σ = 23307067392. Its totient is φ = 4660934400.

The previous prime is 12202331369. The next prime is 12202331419. The reversal of 12202331414 is 41413320221.

12202331414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12202331414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202331419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2745434 + ... + 2749874.

It is an arithmetic number, because the mean of its divisors is an integer number (364172928).

Almost surely, 212202331414 is an apocalyptic number.

12202331414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12202331414 is a deficient number, since it is larger than the sum of its proper divisors (11104735978).

12202331414 is a wasteful number, since it uses less digits than its factorization.

12202331414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4981.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12202331414 its reverse (41413320221), we get a palindrome (53615651635).

The spelling of 12202331414 in words is "twelve billion, two hundred two million, three hundred thirty-one thousand, four hundred fourteen".

Divisors: 1 2 7 13 14 26 31 62 91 182 217 403 434 487 806 974 2821 3409 4441 5642 6331 6818 8882 12662 15097 30194 31087 44317 57733 62174 88634 105679 115466 137671 196261 211358 275342 392522 404131 808262 963697 1373827 1789723 1927394 2162767 2747654 3579446 4325534 12528061 15139369 25056122 28115971 30278738 56231942 67045777 134091554 196811797 393623594 469320439 871595101 938640878 1743190202 6101165707 12202331414