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232020210042 = 2322941910211039
BaseRepresentation
bin1101100000010101111…
…0110111000101111010
3211011212212221220001200
43120011132313011322
512300134133210132
6254331050155030
722522451150025
oct3300536670572
9734785856050
10232020210042
118a4433a5a05
1238b73122a76
1318b580b651a
14b3309661bc
15607e603d7c
hex36057b717a

232020210042 has 96 divisors (see below), whose sum is σ = 522299232000. Its totient is φ = 74350362240.

The previous prime is 232020210041. The next prime is 232020210043. The reversal of 232020210042 is 240012020232.

232020210042 is a `hidden beast` number, since 2 + 320 + 202 + 100 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (232020210041) and next prime (232020210043).

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

It is a junction number, because it is equal to n+sod(n) for n = 232020209997 and 232020210024.

It is not an unprimeable number, because it can be changed into a prime (232020210041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223310559 + ... + 223311597.

It is an arithmetic number, because the mean of its divisors is an integer number (5440617000).

Almost surely, 2232020210042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232020210042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261149616000).

232020210042 is an abundant number, since it is smaller than the sum of its proper divisors (290279021958).

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

232020210042 is a wasteful number, since it uses less digits than its factorization.

232020210042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 232020210042 its reverse (240012020232), we get a palindrome (472032230274).

The spelling of 232020210042 in words is "two hundred thirty-two billion, twenty million, two hundred ten thousand, forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 419 522 838 1021 1039 1257 2042 2078 2514 3063 3117 3771 6126 6234 7542 9189 9351 12151 18378 18702 24302 29609 30131 36453 59218 60262 72906 88827 90393 109359 177654 180786 218718 266481 271179 427799 435341 532962 542358 855598 870682 1060819 1283397 1306023 2121638 2566794 2612046 3182457 3850191 3918069 6364914 7700382 7836138 9547371 12406171 12624889 19094742 24812342 25249778 30763751 37218513 37874667 61527502 74437026 75749334 92291253 111655539 113624001 184582506 223311078 227248002 276873759 444483161 553747518 888966322 1333449483 2666898966 4000348449 8000696898 12890011669 25780023338 38670035007 77340070014 116010105021 232020210042