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133142211001566 = 233131789125354441
BaseRepresentation
bin11110010001011110010110…
…001100001111110011011110
3122110102021022121100221221000
4132101132112030033303132
5114422400222004022231
61151100404244451130
740021131051424554
oct3621362614176336
9573367277327830
10133142211001566
1139472327111268
1212b23a290a9aa6
13593a344a5b110
1424c41901c5bd4
15105d503ba06e6
hex79179630fcde

133142211001566 has 128 divisors (see below), whose sum is σ = 341164649347200. Its totient is φ = 38123795128320.

The previous prime is 133142211001537. The next prime is 133142211001573. The reversal of 133142211001566 is 665100112241331.

133142211001566 is a `hidden beast` number, since 1 + 3 + 31 + 42 + 21 + 1 + 0 + 0 + 1 + 566 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 133142211001566.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61615095 + ... + 63739346.

It is an arithmetic number, because the mean of its divisors is an integer number (2665348823025).

Almost surely, 2133142211001566 is an apocalyptic number.

133142211001566 is an abundant number, since it is smaller than the sum of its proper divisors (208022438345634).

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

133142211001566 is a wasteful number, since it uses less digits than its factorization.

133142211001566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125354571 (or 125354565 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 133142211001566 its reverse (665100112241331), we get a palindrome (798242323242897).

The spelling of 133142211001566 in words is "one hundred thirty-three trillion, one hundred forty-two billion, two hundred eleven million, one thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 89 102 117 153 178 221 234 267 306 351 442 459 534 663 702 801 918 1157 1326 1513 1602 1989 2314 2403 3026 3471 3978 4539 4806 5967 6942 9078 10413 11934 13617 19669 20826 27234 31239 39338 40851 59007 62478 81702 118014 177021 354042 531063 1062126 125354441 250708882 376063323 752126646 1128189969 1629607733 2131025497 2256379938 3259215466 3384569907 4262050994 4888823199 6393076491 6769139814 9777646398 11156545249 12786152982 14666469597 19179229473 22313090498 27703331461 29332939194 33469635747 38358458946 43999408791 55406662922 57537688419 66939271494 83109994383 87998817582 100408907241 115075376838 145035088237 166219988766 189661269233 200817814482 249329983149 290070176474 301226721723 379322538466 435105264711 498659966298 568983807699 602453443446 747989949447 870210529422 1137967615398 1305315794133 1495979898894 1706951423097 2465596500029 2610631588266 3413902846194 3915947382399 4931193000058 5120854269291 7396789500087 7831894764798 10241708538582 14793579000174 22190368500261 44380737000522 66571105500783 133142211001566