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132141200001239 = 11132987736333281
BaseRepresentation
bin11110000010111010000101…
…010010010100100011010111
3122022212120112102120101201102
4132002322011102110203113
5114310000134200014424
61145012455041020315
736555613056340652
oct3602720522244327
9568776472511642
10132141200001239
113911684a539910
12129a1a2462469b
135896b281a3440
14248b94d7aa899
1510424687d37ae
hex782e854948d7

132141200001239 has 32 divisors (see below), whose sum is σ = 160779132843840. Its totient is φ = 106941923020800.

The previous prime is 132141200001199. The next prime is 132141200001253. The reversal of 132141200001239 is 932100002141231.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132141200001239 is a prime.

It is a super-2 number, since 2×1321412000012392 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132141200001269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14529722 + ... + 21803559.

It is an arithmetic number, because the mean of its divisors is an integer number (5024347901370).

Almost surely, 2132141200001239 is an apocalyptic number.

132141200001239 is a deficient number, since it is larger than the sum of its proper divisors (28637932842601).

132141200001239 is a wasteful number, since it uses less digits than its factorization.

132141200001239 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36334211.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 132141200001239 in words is "one hundred thirty-two trillion, one hundred forty-one billion, two hundred million, one thousand, two hundred thirty-nine".

Divisors: 1 11 13 29 143 319 377 877 4147 9647 11401 25433 125411 279763 330629 3636919 36333281 399666091 472332653 1053665149 5195659183 11590316639 13697646937 31864287437 150674116307 350507161807 414235736681 924064335673 4556593103491 10164707692403 12012836363749 132141200001239