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132104434144155 = 35114726378782301
BaseRepresentation
bin11110000010010111110101…
…110111101101001110011011
3122022202001122011010100020220
4132002113311313231032123
5114303344340120103110
61144543534513051123
736553142012612154
oct3602276567551633
9568661564110226
10132104434144155
11391021a3134260
1212996883856aa3
135893519185315
142489c6295492b
151041515be1370
hex7825f5ded39b

132104434144155 has 128 divisors (see below), whose sum is σ = 236686920155136. Its totient is φ = 62369389248000.

The previous prime is 132104434144153. The next prime is 132104434144157. The reversal of 132104434144155 is 551441434401231.

It is an interprime number because it is at equal distance from previous prime (132104434144153) and next prime (132104434144157).

It is not a de Polignac number, because 132104434144155 - 21 = 132104434144153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132104434144153) 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, 1605096505 + ... + 1605178805.

It is an arithmetic number, because the mean of its divisors is an integer number (1849116563712).

Almost surely, 2132104434144155 is an apocalyptic number.

132104434144155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132104434144155 is a deficient number, since it is larger than the sum of its proper divisors (104582486010981).

132104434144155 is a wasteful number, since it uses less digits than its factorization.

132104434144155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83417.

The product of its (nonzero) digits is 460800, while the sum is 42.

Adding to 132104434144155 its reverse (551441434401231), we get a palindrome (683545868545386).

The spelling of 132104434144155 in words is "one hundred thirty-two trillion, one hundred four billion, four hundred thirty-four million, one hundred forty-four thousand, one hundred fifty-five".

Divisors: 1 3 5 11 15 33 47 55 141 165 235 263 517 705 787 789 1315 1551 2361 2585 2893 3935 3945 7755 8657 8679 11805 12361 14465 25971 36989 37083 43285 43395 61805 82301 110967 129855 135971 184945 185415 206981 246903 406879 407913 411505 554835 620943 679855 905311 1034905 1220637 1234515 2034395 2039565 2276791 2715933 3104715 3868147 4526555 6103185 6830373 9728107 11383955 11604441 13579665 19340735 21645163 29184321 34151865 42549617 48640535 58022205 64770887 64935489 107009177 108225815 127648851 145921605 194312661 212748085 238096793 321027531 323854435 324677445 535045885 638244255 712479757 714290379 971563305 1017322661 1190483965 1605137655 2137439271 3044231689 3051967983 3562398785 3571451895 5086613305 9132695067 10687196355 11190549271 15221158445 15259839915 17034743281 33486548579 33571647813 45663475335 51104229843 55952746355 85173716405 100459645737 167432742895 167858239065 187382176091 255521149215 502298228685 562146528273 800632934207 936910880455 2401898802621 2810732641365 4003164671035 8806962276277 12009494013105 26420886828831 44034811381385 132104434144155