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113055454161 = 331317612631181
BaseRepresentation
bin110100101001010100…
…0010101001111010001
3101210211000210010112000
41221102220111033101
53323014144013121
6123534214424213
711111422335036
oct1512250251721
9353730703460
10113055454161
1143a45947041
1219ab2062069
13a879529250
145686d0338d
152e1a492526
hex1a52a153d1

113055454161 has 128 divisors (see below), whose sum is σ = 195017518080. Its totient is φ = 64107417600.

The previous prime is 113055454153. The next prime is 113055454219. The reversal of 113055454161 is 161454550311.

113055454161 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 5 + 54 + 541 + 61 = 666.

It is not a de Polignac number, because 113055454161 - 23 = 113055454153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113055454111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95727991 + ... + 95729171.

It is an arithmetic number, because the mean of its divisors is an integer number (1523574360).

Almost surely, 2113055454161 is an apocalyptic number.

It is an amenable number.

113055454161 is a deficient number, since it is larger than the sum of its proper divisors (81962063919).

113055454161 is a wasteful number, since it uses less digits than its factorization.

113055454161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 113055454161 in words is "one hundred thirteen billion, fifty-five million, four hundred fifty-four thousand, one hundred sixty-one".

Divisors: 1 3 9 13 17 27 39 51 61 117 153 183 221 263 351 459 549 663 789 793 1037 1181 1647 1989 2367 2379 3111 3419 3543 4471 5967 7101 7137 9333 10257 10629 13413 13481 15353 16043 20077 21411 27999 30771 31887 40239 40443 46059 48129 58123 60231 72041 92313 120717 121329 138177 144387 174369 180693 208559 216123 261001 272731 310603 363987 414531 433161 523107 542079 625677 648369 783003 818193 931809 936533 1224697 1569321 1877031 1945107 2349009 2454579 2795427 2809599 3545503 3674091 4037839 5280251 5631093 7047027 7363737 8386281 8428797 10636509 11022273 12113517 15840753 15921061 18946783 25286391 31909527 33066819 36340551 47522259 47763183 56840349 68643263 95728581 109021653 142566777 143289549 170521047 205929789 246308179 322095311 429868647 511563141 617789367 738924537 966285933 1853368101 2216773611 2898857799 4187239043 6650320833 8696573397 12561717129 37685151387 113055454161