Search a number
-
+
132035540204205 = 325112131185106499
BaseRepresentation
bin11110000001010111101011…
…011110001011101010101101
3122022111110210211000120112100
4132001113223132023222231
5114301232241243013310
61144452142332525313
736545152526025321
oct3601275336135255
9568443724016470
10132035540204205
1139085a5a316500
1212985457320839
135889b89c30a91
1424867a8bb7981
15103e832761ec0
hex7815eb78baad

132035540204205 has 72 divisors (see below), whose sum is σ = 253478917692000. Its totient is φ = 63528550113600.

The previous prime is 132035540204131. The next prime is 132035540204209. The reversal of 132035540204205 is 502402045530231.

132035540204205 is a `hidden beast` number, since 1 + 3 + 20 + 35 + 540 + 20 + 42 + 0 + 5 = 666.

It is not a de Polignac number, because 132035540204205 - 211 = 132035540202157 is a prime.

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 132035540204205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132035540204209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91839955 + ... + 93266544.

It is an arithmetic number, because the mean of its divisors is an integer number (3520540523500).

Almost surely, 2132035540204205 is an apocalyptic number.

132035540204205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132035540204205 is a deficient number, since it is larger than the sum of its proper divisors (121443377487795).

132035540204205 is a wasteful number, since it uses less digits than its factorization.

132035540204205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185106663 (or 185106649 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 132035540204205 its reverse (502402045530231), we get a palindrome (634437585734436).

The spelling of 132035540204205 in words is "one hundred thirty-two trillion, thirty-five billion, five hundred forty million, two hundred four thousand, two hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 131 165 363 393 495 605 655 1089 1179 1441 1815 1965 4323 5445 5895 7205 12969 15851 21615 47553 64845 79255 142659 237765 713295 185106499 555319497 925532495 1665958491 2036171489 2776597485 6108514467 8329792455 10180857445 18325543401 22397886379 24248951369 30542572335 67193659137 72746854107 91627717005 111989431895 121244756845 201580977411 218240562321 266738465059 335968295685 363734270535 800215395177 1007904887055 1091202811605 1333692325295 2400646185531 2934123115649 4001076975885 8802369346947 12003230927655 14670615578245 26407108040841 44011846734735 132035540204205