Search a number
-
+
100141266522045 = 35731239421305761
BaseRepresentation
bin10110110001001111110100…
…100111100100111110111101
3111010120102010001012101122210
4112301033310213210332331
5101111203303212201140
6552552132430331033
730043652636566530
oct2661176447447675
9433512101171583
10100141266522045
11299a9744302051
12b29406b659a79
1343b5386220b68
141aa2c12728a17
15b89d867bbd80
hex5b13f49e4fbd

100141266522045 has 128 divisors (see below), whose sum is σ = 190264783011840. Its totient is φ = 44011828224000.

The previous prime is 100141266522041. The next prime is 100141266522163. The reversal of 100141266522045 is 540225662141001.

It is not a de Polignac number, because 100141266522045 - 22 = 100141266522041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100141266521994 and 100141266522012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100141266522041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 327361965 + ... + 327667725.

It is an arithmetic number, because the mean of its divisors is an integer number (1486443617280).

Almost surely, 2100141266522045 is an apocalyptic number.

100141266522045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100141266522045 is a deficient number, since it is larger than the sum of its proper divisors (90123516489795).

100141266522045 is a wasteful number, since it uses less digits than its factorization.

100141266522045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306467.

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 100141266522045 in words is "one hundred trillion, one hundred forty-one billion, two hundred sixty-six million, five hundred twenty-two thousand, forty-five".

Divisors: 1 3 5 7 15 21 31 35 93 105 155 217 239 421 465 651 717 1085 1195 1263 1673 2105 2947 3255 3585 5019 6315 7409 8365 8841 13051 14735 22227 25095 37045 39153 44205 51863 65255 91357 100619 111135 155589 195765 259315 274071 301857 305761 456785 503095 704333 777945 917283 1370355 1509285 1528805 2112999 2140327 3119189 3521665 4586415 6420981 9357567 9478591 10564995 10701635 15595945 21834323 28435773 32104905 46787835 47392955 65502969 66350137 73076879 109171615 128725381 142178865 199050411 219230637 327514845 331750685 365384395 386176143 511538153 643626905 901077667 995252055 1096153185 1534614459 1930880715 2265383249 2557690765 2703233001 3990486811 4505388335 6796149747 7673072295 11326916245 11971460433 13516165005 15857682743 19952434055 27933407677 30765366059 33980748735 47573048229 59857302165 79288413715 83800223031 92296098177 139667038385 153826830295 215357562413 237865241145 419001115155 461480490885 646072687239 953726347829 1076787812065 2861179043487 3230363436195 4768631739145 6676084434803 14305895217435 20028253304409 33380422174015 100141266522045