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232223101242 = 2311173127724103
BaseRepresentation
bin1101100001000110010…
…0110101000100111010
3211012102000201211110120
43120101210311010322
512301043103214432
6254403134554110
722530463535406
oct3302144650472
9735360654416
10232223101242
118a537983090
123900b068936
1318b8b1437a2
14b34d89c106
15609232ec2c
hex361193513a

232223101242 has 128 divisors (see below), whose sum is σ = 555800444928. Its totient is φ = 63860659200.

The previous prime is 232223101237. The next prime is 232223101247. The reversal of 232223101242 is 242101322232.

It is an interprime number because it is at equal distance from previous prime (232223101237) and next prime (232223101247).

It is not an unprimeable number, because it can be changed into a prime (232223101247) 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 63 ways as a sum of consecutive naturals, for example, 9622563 + ... + 9646665.

It is an arithmetic number, because the mean of its divisors is an integer number (4342190976).

Almost surely, 2232223101242 is an apocalyptic number.

232223101242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 232223101242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277900222464).

232223101242 is an abundant number, since it is smaller than the sum of its proper divisors (323577343686).

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

232223101242 is a wasteful number, since it uses less digits than its factorization.

232223101242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24444.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 232223101242 its reverse (242101322232), we get a palindrome (474324423474).

The spelling of 232223101242 in words is "two hundred thirty-two billion, two hundred twenty-three million, one hundred one thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 17 22 31 33 34 51 62 66 93 102 186 187 277 341 374 527 554 561 682 831 1023 1054 1122 1581 1662 2046 3047 3162 4709 5797 6094 8587 9141 9418 11594 14127 17174 17391 18282 24103 25761 28254 34782 48206 51522 51799 72309 94457 103598 144618 145979 155397 188914 265133 283371 291958 310794 409751 437937 530266 566742 747193 795399 819502 875874 1229253 1494386 1590798 1605769 2241579 2458506 3211538 4483158 4507261 4817307 6676531 8219123 9014522 9634614 12702281 13353062 13521783 16438246 20029593 24657369 25404562 27043566 38106843 40059186 49314738 73441841 76213686 113501027 139725091 146883682 206972461 220325523 227002054 279450182 340503081 413944922 419175273 440651046 620917383 681006162 838350546 1241834766 1248511297 2276697071 2497022594 3518531837 3745533891 4553394142 6830091213 7037063674 7491067782 10555595511 13660182426 21111191022 38703850207 77407700414 116111550621 232223101242