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132141205504053 = 32194271180930833
BaseRepresentation
bin11110000010111010000101…
…100111010100000000110101
3122022212120112210220222011100
4132002322011213110000311
5114310000142102112203
61145012455355000313
736555613154200104
oct3602720547240065
9568776483828140
10132141205504053
1139116852658199
12129a1a26439099
135896b2937c045
14248b95040003b
15104246901dea3
hex782e859d4035

132141205504053 has 24 divisors (see below), whose sum is σ = 200963495940480. Its totient is φ = 83438062485120.

The previous prime is 132141205504019. The next prime is 132141205504079. The reversal of 132141205504053 is 350405502141231.

132141205504053 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 4 + 12 + 0 + 550 + 40 + 53 = 666.

It is not a de Polignac number, because 132141205504053 - 240 = 131041693876277 is a prime.

It is a super-2 number, since 2×1321412055040532 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132141205503999 and 132141205504017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132141205504153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89735076 + ... + 91195757.

It is an arithmetic number, because the mean of its divisors is an integer number (8373478997520).

Almost surely, 2132141205504053 is an apocalyptic number.

It is an amenable number.

132141205504053 is a deficient number, since it is larger than the sum of its proper divisors (68822290436427).

132141205504053 is a wasteful number, since it uses less digits than its factorization.

132141205504053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180935129 (or 180935126 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 132141205504053 its reverse (350405502141231), we get a palindrome (482546707645284).

The spelling of 132141205504053 in words is "one hundred thirty-two trillion, one hundred forty-one billion, two hundred five million, five hundred four thousand, fifty-three".

Divisors: 1 3 9 19 57 171 4271 12813 38439 81149 243447 730341 180930833 542792499 1628377497 3437685827 10313057481 30939172443 772755587743 2318266763229 6954800289687 14682356167117 44047068501351 132141205504053