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234213134121 = 331931971491019
BaseRepresentation
bin1101101000100000110…
…0001100111100101001
3211101112201022222101000
43122020030030330221
512314132030242441
6255332424145213
722631006535501
oct3321014147451
9741481288330
10234213134121
119036923225a
1239485608209
131911750b235
14b49bcc0a01
15615bdc42b6
hex368830cf29

234213134121 has 128 divisors (see below), whose sum is σ = 383846400000. Its totient is φ = 140587591680.

The previous prime is 234213134093. The next prime is 234213134149. The reversal of 234213134121 is 121431312432.

234213134121 is a `hidden beast` number, since 2 + 34 + 213 + 1 + 3 + 412 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (234213134093) and next prime (234213134149).

It is not a de Polignac number, because 234213134121 - 27 = 234213133993 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (234213134191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229845550 + ... + 229846568.

It is an arithmetic number, because the mean of its divisors is an integer number (2998800000).

Almost surely, 2234213134121 is an apocalyptic number.

It is an amenable number.

234213134121 is a deficient number, since it is larger than the sum of its proper divisors (149633265879).

234213134121 is a wasteful number, since it uses less digits than its factorization.

234213134121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1318 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 234213134121 its reverse (121431312432), we get a palindrome (355644446553).

The spelling of 234213134121 in words is "two hundred thirty-four billion, two hundred thirteen million, one hundred thirty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 19 27 31 57 93 97 149 171 279 291 447 513 589 837 873 1019 1341 1767 1843 2619 2831 3007 3057 4023 4619 5301 5529 8493 9021 9171 13857 14453 15903 16587 19361 25479 27063 27513 31589 41571 43359 49761 57133 58083 76437 81189 87761 94767 98843 124713 130077 151831 171399 174249 263283 274607 284301 296529 390231 448043 455493 514197 522747 600191 789849 823821 852903 889587 1344129 1366479 1542591 1800573 1878017 2369547 2471463 2668761 2884789 3064133 4032387 4099437 4706761 5401719 5634051 7414389 8512817 8654367 9192399 12097161 14120283 14727607 16205157 16902153 25538451 25963101 27577197 42360849 44182821 50706459 58218527 76615353 77889303 82731591 89428459 127082547 132548463 174655581 229846059 268285377 279824533 397645389 456555817 523966743 804856131 839473599 1369667451 1571900229 2414568393 2518420797 4109002353 7555262391 8674560523 12327007059 26023681569 78071044707 234213134121