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1034101031223 = 313237320117853
BaseRepresentation
bin11110000110001010011…
…10011000000100110111
310122212012021112022002110
433003011032120010313
5113420314330444343
62111020501542103
7134465662510101
oct17030516300467
93585167468073
101034101031223
11369618089427
121484ba414933
1376691197320
143809d3c4571
151bd75420833
hexf0c5398137

1034101031223 has 64 divisors (see below), whose sum is σ = 1571628377088. Its totient is φ = 599988280320.

The previous prime is 1034101031147. The next prime is 1034101031261. The reversal of 1034101031223 is 3221301014301.

It is not a de Polignac number, because 1034101031223 - 28 = 1034101030967 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1034101031223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034101031023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131678365 + ... + 131686217.

It is an arithmetic number, because the mean of its divisors is an integer number (24556693392).

Almost surely, 21034101031223 is an apocalyptic number.

1034101031223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1034101031223 is a deficient number, since it is larger than the sum of its proper divisors (537527345865).

1034101031223 is a wasteful number, since it uses less digits than its factorization.

1034101031223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9976.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1034101031223 its reverse (3221301014301), we get a palindrome (4255402045524).

The spelling of 1034101031223 in words is "one trillion, thirty-four billion, one hundred one million, thirty-one thousand, two hundred twenty-three".

Divisors: 1 3 13 23 39 69 73 219 299 897 949 1679 2011 2847 5037 6033 7853 21827 23559 26143 46253 65481 78429 102089 138759 146803 180619 306267 440409 541857 573269 601289 1719807 1803867 1908439 2348047 3376469 5725317 7044141 7452497 10129407 13185187 15792383 22357491 39555561 43894097 47377149 131682291 171407431 205300979 363224809 514222293 615902937 1089674427 1152843959 3458531877 4721922517 14165767551 14986971467 26515411057 44960914401 79546233171 344700343741 1034101031223