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232113102102 = 232719219925643
BaseRepresentation
bin1101100000101100000…
…1001101110100010110
3211012010100202022000100
43120023001031310112
512300331423231402
6254344205154530
722524656546250
oct3301301156426
9735110668010
10232113102102
118a490882102
1238b9a25ba46
1318b7140b93b
14b33d026cd0
15608785271c
hex360b04dd16

232113102102 has 144 divisors (see below), whose sum is σ = 609670713600. Its totient is φ = 62509452192.

The previous prime is 232113102061. The next prime is 232113102149. The reversal of 232113102102 is 201201311232.

232113102102 is a `hidden beast` number, since 2 + 321 + 131 + 0 + 210 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 9038893 + ... + 9064535.

It is an arithmetic number, because the mean of its divisors is an integer number (4233824400).

Almost surely, 2232113102102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232113102102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304835356800).

232113102102 is an abundant number, since it is smaller than the sum of its proper divisors (377557611498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232113102102 is a wasteful number, since it uses less digits than its factorization.

232113102102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25895 (or 25873 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 232113102102 its reverse (201201311232), we get a palindrome (433314413334).

The spelling of 232113102102 in words is "two hundred thirty-two billion, one hundred thirteen million, one hundred two thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 199 266 342 361 398 399 597 722 798 1083 1194 1197 1393 1791 2166 2394 2527 2786 3249 3582 3781 4179 5054 6498 7562 7581 8358 11343 12537 15162 22686 22743 25074 25643 26467 34029 45486 51286 52934 68058 71839 76929 79401 143678 153858 158802 179501 215517 230787 238203 359002 431034 461574 476406 487217 502873 538503 646551 974434 1005746 1077006 1293102 1461651 1508619 1615509 2923302 3017238 3231018 3410519 4384953 4525857 5102957 6821038 8769906 9051714 9257123 10205914 10231557 15308871 18514246 20463114 27771369 30617742 30694671 35720699 45926613 55542738 61389342 64799861 71441398 83314107 91853226 96956183 107162097 129599722 166628214 193912366 194399583 214324194 290868549 321486291 388799166 581737098 583198749 642972582 678693281 872605647 1166397498 1357386562 1745211294 1842167477 2036079843 3684334954 4072159686 5526502431 6108239529 11053004862 12216479058 12895172339 16579507293 25790344678 33159014586 38685517017 77371034034 116056551051 232113102102