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1201014134334 = 2327107177750131
BaseRepresentation
bin10001011110100010000…
…001010101011000111110
311020211000201222110202100
4101132202001111120332
5124134134104244314
62315423245005530
7152525151462630
oct21364201253076
94224021873670
101201014134334
11423390194243
121749212538a6
13893417334b1
14421b50b4a50
1521393c5ec09
hex117a205563e

1201014134334 has 96 divisors (see below), whose sum is σ = 3003482716416. Its totient is φ = 339741838080.

The previous prime is 1201014134323. The next prime is 1201014134407. The reversal of 1201014134334 is 4334314101021.

1201014134334 is a `hidden beast` number, since 1 + 201 + 0 + 1 + 413 + 43 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1201014134298 and 1201014134307.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23932449 + ... + 23982579.

It is an arithmetic number, because the mean of its divisors is an integer number (31286278296).

Almost surely, 21201014134334 is an apocalyptic number.

1201014134334 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 1201014134334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501741358208).

1201014134334 is an abundant number, since it is smaller than the sum of its proper divisors (1802468582082).

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

1201014134334 is a wasteful number, since it uses less digits than its factorization.

1201014134334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52030 (or 52027 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1201014134334 its reverse (4334314101021), we get a palindrome (5535328235355).

The spelling of 1201014134334 in words is "one trillion, two hundred one billion, fourteen million, one hundred thirty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 321 642 749 963 1498 1777 1926 2247 3554 4494 5331 6741 10662 12439 13482 15993 24878 31986 37317 50131 74634 100262 111951 150393 190139 223902 300786 350917 380278 451179 570417 701834 902358 1052751 1140834 1330973 1711251 2105502 2661946 3158253 3422502 3992919 5364017 6316506 7985838 10728034 11978757 16092051 23957514 32184102 37548119 48276153 75096238 89082787 96552306 112644357 178165574 225288714 267248361 337933071 534496722 623579509 675866142 801745083 1247159018 1603490166 1870738527 3741477054 5612215581 9531858209 11224431162 19063716418 28595574627 57191149254 66723007463 85786723881 133446014926 171573447762 200169022389 400338044778 600507067167 1201014134334