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1081027316334 = 23733183204151
BaseRepresentation
bin11111011101100100011…
…11111100101001101110
310211100022122121120120010
433232302033330221232
5120202420443110314
62144341143034050
7141046602402000
oct17566217745156
93740278546503
101081027316334
11387508812a39
12155615a3b926
137ac2c1b3134
143a471800370
151d1c0010059
hexfbb23fca6e

1081027316334 has 128 divisors (see below), whose sum is σ = 2634050764800. Its totient is φ = 295298892000.

The previous prime is 1081027316323. The next prime is 1081027316371. The reversal of 1081027316334 is 4336137201801.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1081027316292 and 1081027316301.

It is a congruent number.

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, 5193159 + ... + 5397309.

It is an arithmetic number, because the mean of its divisors is an integer number (20578521600).

Almost surely, 21081027316334 is an apocalyptic number.

1081027316334 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 1081027316334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317025382400).

1081027316334 is an abundant number, since it is smaller than the sum of its proper divisors (1553023448466).

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

1081027316334 is a wasteful number, since it uses less digits than its factorization.

1081027316334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204291 (or 204277 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 1081027316334 in words is "one trillion, eighty-one billion, twenty-seven million, three hundred sixteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 83 93 98 147 166 186 217 249 294 343 434 498 581 651 686 1029 1162 1302 1519 1743 2058 2573 3038 3486 4067 4557 5146 7719 8134 9114 10633 12201 15438 18011 21266 24402 28469 31899 36022 54033 56938 63798 85407 108066 126077 170814 204151 252154 378231 408302 612453 756462 882539 1224906 1429057 1765078 2647617 2858114 4287171 5295234 6328681 8574342 10003399 12657362 16944533 18986043 20006798 30010197 33889066 37972086 44300767 50833599 60020394 70023793 88601534 101667198 118611731 132902301 140047586 210071379 237223462 265804602 310105369 355835193 420142758 525280523 620210738 711670386 830282117 930316107 1050561046 1575841569 1660564234 1860632214 2170737583 2490846351 3151683138 3676963661 4341475166 4981692702 5811974819 6512212749 7353927322 11030890983 11623949638 13024425498 17435924457 22061781966 25738745627 34871848914 51477491254 77216236881 154432473762 180171219389 360342438778 540513658167 1081027316334