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2134242300141 = 327231668923339
BaseRepresentation
bin11111000011101010110…
…000010001000011101101
321120000212000102021100100
4133003222300101003231
5234431412012101031
64312242443221313
7310123341141300
oct37035260210355
97500760367310
102134242300141
11753144158896
122a5769517839
13126348305373
1475425542b37
153a7b34c8de6
hex1f0eac110ed

2134242300141 has 72 divisors (see below), whose sum is σ = 3702500755200. Its totient is φ = 1179999152640.

The previous prime is 2134242300133. The next prime is 2134242300149. The reversal of 2134242300141 is 1410032424312.

2134242300141 is a `hidden beast` number, since 2 + 1 + 3 + 424 + 230 + 0 + 1 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2134242300133) and next prime (2134242300149).

It is not a de Polignac number, because 2134242300141 - 23 = 2134242300133 is a prime.

It is a super-2 number, since 2×21342423001412 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134242300149) 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, 91433650 + ... + 91456988.

It is an arithmetic number, because the mean of its divisors is an integer number (51423621600).

Almost surely, 22134242300141 is an apocalyptic number.

2134242300141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2134242300141 is a deficient number, since it is larger than the sum of its proper divisors (1568258455059).

2134242300141 is a wasteful number, since it uses less digits than its factorization.

2134242300141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30079 (or 30069 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2134242300141 its reverse (1410032424312), we get a palindrome (3544274724453).

The spelling of 2134242300141 in words is "two trillion, one hundred thirty-four billion, two hundred forty-two million, three hundred thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 31 49 63 93 147 217 279 441 651 1519 1953 4557 6689 13671 20067 23339 46823 60201 70017 140469 163373 207359 210051 327761 421407 490119 622077 723509 983283 1143611 1451513 1470357 1866231 2170527 2949849 3430833 4354539 5064563 6511581 10160591 10292499 13063617 15193689 30481773 35451941 45581067 91445319 106355823 156114571 319067469 468343713 1092801997 1405031139 3278405991 4839551701 7649613979 9835217973 14518655103 22948841937 33876861907 43555965309 68846525811 101630585721 237138033349 304891757163 711414100047 2134242300141