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1031203123314 = 23713101161311593
BaseRepresentation
bin11110000000110000111…
…11101111000001110010
310122120201022121022202220
433000120133233001302
5113343400444421224
62105421141421510
7134334113632020
oct17003037570162
93576638538686
101031203123314
11368370309311
12147a2ba0a896
137631b9a9910
1437ca6595710
151bc55ce6279
hexf0187ef072

1031203123314 has 128 divisors (see below), whose sum is σ = 2565288811008. Its totient is φ = 269082777600.

The previous prime is 1031203123309. The next prime is 1031203123393. The reversal of 1031203123314 is 4133213021301.

1031203123314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88944702 + ... + 88956294.

It is an arithmetic number, because the mean of its divisors is an integer number (20041318836).

Almost surely, 21031203123314 is an apocalyptic number.

1031203123314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031203123314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282644405504).

1031203123314 is an abundant number, since it is smaller than the sum of its proper divisors (1534085687694).

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

1031203123314 is a wasteful number, since it uses less digits than its factorization.

1031203123314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13332.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1031203123314 its reverse (4133213021301), we get a palindrome (5164416144615).

The spelling of 1031203123314 in words is "one trillion, thirty-one billion, two hundred three million, one hundred twenty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 101 182 202 273 303 546 606 707 1313 1414 1613 2121 2626 3226 3939 4242 4839 7878 9191 9678 11291 11593 18382 20969 22582 23186 27573 33873 34779 41938 55146 62907 67746 69558 81151 125814 146783 150709 162302 162913 243453 293566 301418 325826 440349 452127 486906 488739 880698 904254 977478 1054963 1140391 1170893 2109926 2117869 2280782 2341786 3164889 3421173 3512679 4235738 6329778 6353607 6842346 7025358 8196251 12707214 14825083 15221609 16392502 18699509 24588753 29650166 30443218 37399018 44475249 45664827 49177506 56098527 88950498 91329654 106551263 112197054 130896563 213102526 243093617 261793126 319653789 392689689 486187234 639307578 729280851 785379378 1458561702 1701655319 1888650409 3403310638 3777300818 5104965957 5665951227 10209931914 11331902454 13220552863 24552455317 26441105726 39661658589 49104910634 73657365951 79323317178 147314731902 171867187219 343734374438 515601561657 1031203123314