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34122141210112 = 29223298855637
BaseRepresentation
bin1111100001000101011100…
…00110110001011000000000
311110211001012200121210222221
413300202232012301120000
513433024121122210422
6200323254551140424
710121146316506654
oct760425606613000
9143731180553887
1034122141210112
11a96613417267a
1239b1124074714
13160691cc0b477
1485d740168a64
153e28ddbe23c7
hex1f08ae1b1600

34122141210112 has 40 divisors (see below), whose sum is σ = 68483367158976. Its totient is φ = 16984563505152.

The previous prime is 34122141210089. The next prime is 34122141210119. The reversal of 34122141210112 is 21101214122143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34122141210119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 149313643 + ... + 149541994.

Almost surely, 234122141210112 is an apocalyptic number.

34122141210112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34122141210112 is an abundant number, since it is smaller than the sum of its proper divisors (34361225948864).

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

34122141210112 is an equidigital number, since it uses as much as digits as its factorization.

34122141210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298855878 (or 298855862 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 34122141210112 its reverse (21101214122143), we get a palindrome (55223355332255).

The spelling of 34122141210112 in words is "thirty-four trillion, one hundred twenty-two billion, one hundred forty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 223 256 446 512 892 1784 3568 7136 14272 28544 57088 114176 298855637 597711274 1195422548 2390845096 4781690192 9563380384 19126760768 38253521536 66644807051 76507043072 133289614102 153014086144 266579228204 533158456408 1066316912816 2132633825632 4265267651264 8530535302528 17061070605056 34122141210112