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112342310040 = 233519291699067
BaseRepresentation
bin110100010100000011…
…1111001110010011000
3101201222022212122200210
41220220013321302120
53320034112410130
6123335341331120
711054642610462
oct1505007716230
9351868778623
10112342310040
114370a33a334
1219933266aa0
13a79486718c
14561a307132
152dc7a755b0
hex1a281f9c98

112342310040 has 128 divisors (see below), whose sum is σ = 366998688000. Its totient is φ = 27402536448.

The previous prime is 112342310039. The next prime is 112342310057. The reversal of 112342310040 is 40013243211.

It is a junction number, because it is equal to n+sod(n) for n = 112342309989 and 112342310016.

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 31 ways as a sum of consecutive naturals, for example, 783414 + ... + 915653.

It is an arithmetic number, because the mean of its divisors is an integer number (2867177250).

Almost surely, 2112342310040 is an apocalyptic number.

112342310040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112342310040 is an abundant number, since it is smaller than the sum of its proper divisors (254656377960).

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

112342310040 is a wasteful number, since it uses less digits than its factorization.

112342310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699129 (or 1699125 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 112342310040 its reverse (40013243211), we get a palindrome (152355553251).

The spelling of 112342310040 in words is "one hundred twelve billion, three hundred forty-two million, three hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 29 30 38 40 57 58 60 76 87 95 114 116 120 145 152 174 190 228 232 285 290 348 380 435 456 551 570 580 696 760 870 1102 1140 1160 1653 1740 2204 2280 2755 3306 3480 4408 5510 6612 8265 11020 13224 16530 22040 33060 66120 1699067 3398134 5097201 6796268 8495335 10194402 13592536 16990670 20388804 25486005 32282273 33981340 40777608 49272943 50972010 64564546 67962680 96846819 98545886 101944020 129129092 147818829 161411365 193693638 197091772 203888040 246364715 258258184 295637658 322822730 387387276 394183544 484234095 492729430 591275316 645645460 739094145 774774552 936185917 968468190 985458860 1182550632 1291290920 1478188290 1872371834 1936936380 1970917720 2808557751 2956376580 3744743668 3873872760 4680929585 5617115502 5912753160 7489487336 9361859170 11234231004 14042788755 18723718340 22468462008 28085577510 37447436680 56171155020 112342310040