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232123133012121 = 331331151571247421
BaseRepresentation
bin110100110001110101100000…
…111000110010100010011001
31010102212202101020122210012000
4310301311200320302202121
5220411101134022341441
62141403521205311213
766615225424604451
oct6461654070624231
91112782336583160
10232123133012121
1167a6396016971a
122204b027705509
139c6a16b262880
144146b68d14d61
151bc80c6db62b6
hexd31d60e32899

232123133012121 has 128 divisors (see below), whose sum is σ = 385492501954560. Its totient is φ = 137080576800000.

The previous prime is 232123133012087. The next prime is 232123133012131. The reversal of 232123133012121 is 121210331321232.

232123133012121 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 2 + 313 + 301 + 21 + 21 = 666.

It is not a de Polignac number, because 232123133012121 - 213 = 232123133003929 is a prime.

It is a super-2 number, since 2×2321231330121212 (a number of 30 digits) contains 22 as substring.

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 (232123133012131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 938046991 + ... + 938294411.

It is an arithmetic number, because the mean of its divisors is an integer number (3011660171520).

Almost surely, 2232123133012121 is an apocalyptic number.

It is an amenable number.

232123133012121 is a deficient number, since it is larger than the sum of its proper divisors (153369368942439).

232123133012121 is a wasteful number, since it uses less digits than its factorization.

232123133012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248196 (or 248190 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 232123133012121 its reverse (121210331321232), we get a palindrome (353333464333353).

The spelling of 232123133012121 in words is "two hundred thirty-two trillion, one hundred twenty-three billion, one hundred thirty-three million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 13 27 31 39 93 117 151 279 351 403 453 571 837 1209 1359 1713 1963 3627 4077 4681 5139 5889 7423 10881 14043 15417 17667 17701 22269 42129 53001 53103 60853 66807 86221 126387 159309 182559 200421 230113 247421 258663 477927 547677 690339 742263 775989 1120873 1643031 2071017 2226789 2327967 2672851 3216473 3362619 6213051 6680367 7670051 8018553 9649419 10087857 23010153 24055659 28948257 30263571 34747063 37360571 69030459 72166977 86844771 99710663 104241189 112081713 141277391 207091377 299131989 312723567 336245139 423832173 485687423 897395967 938170701 1008735417 1158177701 1271496519 1457062269 1836606083 2692187901 3474533103 3814489557 4371186807 4379599121 5509818249 10423599309 13113560421 13138797363 15056310113 16529454747 21332886041 31270797927 39416392089 45168930339 49588364241 56934788573 63998658123 118249176267 135506791017 170804365719 191995974369 277327518533 406520373051 512413097157 575987923107 661319467271 831982555599 1537239291471 1983958401813 2495947666797 5951875205439 7487843000391 8597153074523 17855625616317 25791459223569 77374377670707 232123133012121