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11214105342 = 23114714812441
BaseRepresentation
bin10100111000110100…
…11010101011111110
31001221112022120112220
422130122122223332
5140431302332332
65052433110210
7544616215446
oct123432325376
931845276486
1011214105342
114835085360
12220b6b8366
1310993accbb
147854c5126
15459782d2c
hex29c69aafe

11214105342 has 64 divisors (see below), whose sum is σ = 25014832128. Its totient is φ = 3322304000.

The previous prime is 11214105337. The next prime is 11214105359. The reversal of 11214105342 is 24350141211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4592842 + ... + 4595282.

It is an arithmetic number, because the mean of its divisors is an integer number (390856752).

Almost surely, 211214105342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11214105342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12507416064).

11214105342 is an abundant number, since it is smaller than the sum of its proper divisors (13800726786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11214105342 is a wasteful number, since it uses less digits than its factorization.

11214105342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 11214105342 its reverse (24350141211), we get a palindrome (35564246553).

The spelling of 11214105342 in words is "eleven billion, two hundred fourteen million, one hundred five thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 517 1034 1481 1551 2441 2962 3102 4443 4882 7323 8886 14646 16291 26851 32582 48873 53702 69607 80553 97746 114727 139214 161106 208821 229454 344181 417642 688362 765677 1261997 1531354 2297031 2523994 3615121 3785991 4594062 7230242 7571982 10845363 21690726 39766331 79532662 119298993 169910687 238597986 339821374 509732061 1019464122 1869017557 3738035114 5607052671 11214105342