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101434320312 = 23313595510339
BaseRepresentation
bin101111001110111110…
…1001110010110111000
3100200211010120100211020
41132131331032112320
53130214141222222
6114333121302440
710220431332243
oct1363575162670
9320733510736
10101434320312
113a022036196
12177aa194a20
139746a167a0
144ca374825a
15298a10d65c
hex179df4e5b8

101434320312 has 64 divisors (see below), whose sum is σ = 277721136000. Its totient is φ = 30681561984.

The previous prime is 101434320287. The next prime is 101434320331. The reversal of 101434320312 is 213023434101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2736762 + ... + 2773577.

It is an arithmetic number, because the mean of its divisors is an integer number (4339392750).

Almost surely, 2101434320312 is an apocalyptic number.

101434320312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101434320312 is an abundant number, since it is smaller than the sum of its proper divisors (176286815688).

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

101434320312 is a wasteful number, since it uses less digits than its factorization.

101434320312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510420 (or 5510416 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101434320312 its reverse (213023434101), we get a palindrome (314457754413).

The spelling of 101434320312 in words is "one hundred one billion, four hundred thirty-four million, three hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 59 78 104 118 156 177 236 312 354 472 708 767 1416 1534 2301 3068 4602 6136 9204 18408 5510339 11020678 16531017 22041356 33062034 44082712 66124068 71634407 132248136 143268814 214903221 286537628 325110001 429806442 573075256 650220002 859612884 975330003 1300440004 1719225768 1950660006 2600880008 3901320012 4226430013 7802640024 8452860026 12679290039 16905720052 25358580078 33811440104 50717160156 101434320312