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134231201130 = 235132113834259
BaseRepresentation
bin111110100000011001…
…1011001010101101010
3110211110210200112101210
41331000303121111222
54144401141414010
6141355344253550
712461242245465
oct1750063312552
9424423615353
10134231201130
1151a22017174
12220219112b6
13c872686140
1466d54042dc
153759557b20
hex1f40cd956a

134231201130 has 128 divisors (see below), whose sum is σ = 349572464640. Its totient is φ = 32791368960.

The previous prime is 134231201113. The next prime is 134231201131. The reversal of 134231201130 is 31102132431.

It is a junction number, because it is equal to n+sod(n) for n = 134231201097 and 134231201106.

It is not an unprimeable number, because it can be changed into a prime (134231201131) 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, 31514941 + ... + 31519199.

It is an arithmetic number, because the mean of its divisors is an integer number (2731034880).

Almost surely, 2134231201130 is an apocalyptic number.

134231201130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134231201130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174786232320).

134231201130 is an abundant number, since it is smaller than the sum of its proper divisors (215341263510).

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

134231201130 is a wasteful number, since it uses less digits than its factorization.

134231201130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876.

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

Adding to 134231201130 its reverse (31102132431), we get a palindrome (165333333561).

The spelling of 134231201130 in words is "one hundred thirty-four billion, two hundred thirty-one million, two hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 211 383 390 422 633 766 1055 1149 1266 1915 2110 2298 2743 3165 3830 4259 4979 5486 5745 6330 8229 8518 9958 11490 12777 13715 14937 16458 21295 24895 25554 27430 29874 41145 42590 49790 55367 63885 74685 80813 82290 110734 127770 149370 161626 166101 242439 276835 332202 404065 484878 553670 808130 830505 898649 1050569 1212195 1631197 1661010 1797298 2101138 2424390 2695947 3151707 3262394 4493245 4893591 5252845 5391894 6303414 8155985 8986490 9787182 10505690 11682437 13479735 15758535 16311970 21205561 23364874 24467955 26959470 31517070 35047311 42411122 48935910 58412185 63616683 70094622 106027805 116824370 127233366 175236555 212055610 318083415 344182567 350473110 636166830 688365134 1032547701 1720912835 2065095402 3441825670 4474373371 5162738505 8948746742 10325477010 13423120113 22371866855 26846240226 44743733710 67115600565 134231201130