Search a number
-
+
101040043545 = 3457229317377
BaseRepresentation
bin101111000011001110…
…1001011011000011001
3100122210122200000210000
41132012131023120121
53123412222343140
6114230034443213
710204603125300
oct1360635133031
9318718600700
10101040043545
113993a51a221
12176ba133509
1396b312a21c
144c67233437
1529656caa30
hex178674b619

101040043545 has 120 divisors (see below), whose sum is σ = 211426100424. Its totient is φ = 46029441024.

The previous prime is 101040043483. The next prime is 101040043553. The reversal of 101040043545 is 545340040101.

It is a happy number.

101040043545 is a `hidden beast` number, since 10 + 104 + 0 + 0 + 4 + 3 + 545 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10506455001 + 90533588544 = 102501^2 + 300888^2 .

It is not a de Polignac number, because 101040043545 - 211 = 101040041497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5805897 + ... + 5823273.

Almost surely, 2101040043545 is an apocalyptic number.

101040043545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101040043545 is an abundant number, since it is smaller than the sum of its proper divisors (110386056879).

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

101040043545 is a wasteful number, since it uses less digits than its factorization.

101040043545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17701 (or 17685 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 101040043545 its reverse (545340040101), we get a palindrome (646380083646).

The spelling of 101040043545 in words is "one hundred one billion, forty million, forty-three thousand, five hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 245 293 315 405 441 567 735 879 945 1323 1465 2051 2205 2637 2835 3969 4395 6153 6615 7911 10255 13185 14357 17377 18459 19845 23733 30765 39555 43071 52131 55377 71785 86885 92295 118665 121639 129213 156393 166131 215355 260655 276885 364917 387639 469179 608195 646065 781965 830655 851473 1094751 1162917 1407537 1824585 1938195 2345895 2554419 3284253 4257365 5091461 5473755 5814585 7037685 7663257 9852759 12772095 15274383 16421265 22989771 25457305 35640227 38316285 45823149 49263795 68969313 76371915 106920681 114948855 137469447 178201135 229115745 249481589 320762043 344846565 412408341 534603405 687347235 748444767 962286129 1247407945 1603810215 2062041705 2245334301 2886858387 3742223835 4811430645 6736002903 11226671505 14434291935 20208008709 33680014515 101040043545