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116227263141 = 32112379787821
BaseRepresentation
bin110110000111110101…
…1110100101010100101
3102010000002002201110200
41230033223310222211
53401013134410031
6125221041341113
711253135302403
oct1541753645245
9363002081420
10116227263141
1145323295080
121a638337799
13ac636a72b2
1458a8270473
153053b728e6
hex1b0faf4aa5

116227263141 has 96 divisors (see below), whose sum is σ = 194009886720. Its totient is φ = 66359779200.

The previous prime is 116227263121. The next prime is 116227263209. The reversal of 116227263141 is 141362722611.

116227263141 is a `hidden beast` number, since 1 + 1 + 622 + 7 + 26 + 3 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 116227263141 - 211 = 116227261093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 116227263096 and 116227263105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116227263121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141567511 + ... + 141568331.

It is an arithmetic number, because the mean of its divisors is an integer number (2020936320).

Almost surely, 2116227263141 is an apocalyptic number.

116227263141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

116227263141 is a deficient number, since it is larger than the sum of its proper divisors (77782623579).

116227263141 is a wasteful number, since it uses less digits than its factorization.

116227263141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1724 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

Adding to 116227263141 its reverse (141362722611), we get a palindrome (257589985752).

The spelling of 116227263141 in words is "one hundred sixteen billion, two hundred twenty-seven million, two hundred sixty-three thousand, one hundred forty-one".

Divisors: 1 3 9 11 23 33 69 79 99 207 237 253 711 759 787 821 869 1817 2277 2361 2463 2607 5451 7083 7389 7821 8657 9031 16353 18101 18883 19987 25971 27093 54303 56649 59961 62173 64859 77913 81279 162909 169947 179883 186519 194577 199111 207713 559557 583731 597333 623139 646127 683903 713449 1429979 1491757 1791999 1869417 1938381 2051709 2140347 4289937 4475271 5815143 6155127 6421041 7107397 12869811 13425813 14860921 15729769 16409327 21322191 44582763 47189307 49227981 51044033 63966573 133748289 141567921 147683943 153132099 163470131 459396297 490410393 561484363 1174012759 1471231179 1684453089 3522038277 5053359267 10566114831 12914140349 38742421047 116227263141