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231110381832 = 233113797243917
BaseRepresentation
bin1101011100111101000…
…0001001000100001000
3211002112110221211101120
43113033100021010020
512241303224204312
6254100505315240
722461062555451
oct3271720110410
9732473854346
10231110381832
118a016870570
123895a495b20
1318a4175b535
14b285bac128
1560297d528c
hex35cf409108

231110381832 has 128 divisors (see below), whose sum is σ = 654012455040. Its totient is φ = 67437895680.

The previous prime is 231110381779. The next prime is 231110381911. The reversal of 231110381832 is 238183011132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 231110381793 and 231110381802.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 825538 + ... + 1069454.

It is an arithmetic number, because the mean of its divisors is an integer number (5109472305).

Almost surely, 2231110381832 is an apocalyptic number.

231110381832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231110381832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327006227520).

231110381832 is an abundant number, since it is smaller than the sum of its proper divisors (422902073208).

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

231110381832 is a wasteful number, since it uses less digits than its factorization.

231110381832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244071 (or 244067 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

Adding to 231110381832 its reverse (238183011132), we get a palindrome (469293392964).

The spelling of 231110381832 in words is "two hundred thirty-one billion, one hundred ten million, three hundred eighty-one thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 97 111 132 148 194 222 264 291 296 388 407 444 582 776 814 888 1067 1164 1221 1628 2134 2328 2442 3201 3256 3589 4268 4884 6402 7178 8536 9768 10767 12804 14356 21534 25608 28712 39479 43068 78958 86136 118437 157916 236874 243917 315832 473748 487834 731751 947496 975668 1463502 1951336 2683087 2927004 5366174 5854008 8049261 9024929 10732348 16098522 18049858 21464696 23659949 27074787 32197044 36099716 47319898 54149574 64394088 70979847 72199432 94639796 99274219 108299148 141959694 189279592 198548438 216598296 260259439 283919388 297822657 397096876 520518878 567838776 595645314 780778317 794193752 875418113 1041037756 1191290628 1561556634 1750836226 2082075512 2382581256 2626254339 3123113268 3501672452 5252508678 6246226536 7003344904 9629599243 10505017356 19259198486 21010034712 28888797729 38518396972 57777595458 77036793944 115555190916 231110381832