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112130103120 = 24357292301521
BaseRepresentation
bin110100001101101111…
…0011001011101010000
3101201102112120102112020
41220123132121131100
53314120301244440
6123302321131440
711046455102430
oct1503336313520
9351375512466
10112130103120
114361057a112
1219894189b80
13a75c8c7959
1455da0682c0
152db41093d0
hex1a1b799750

112130103120 has 160 divisors (see below), whose sum is σ = 410959768320. Its totient is φ = 24745943040.

The previous prime is 112130103101. The next prime is 112130103167. The reversal of 112130103120 is 21301031211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112130103120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1102041 + ... + 1199480.

It is an arithmetic number, because the mean of its divisors is an integer number (2568498552).

Almost surely, 2112130103120 is an apocalyptic number.

112130103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112130103120 is an abundant number, since it is smaller than the sum of its proper divisors (298829665200).

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

112130103120 is a wasteful number, since it uses less digits than its factorization.

112130103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301573 (or 2301567 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 112130103120 its reverse (21301031211), we get a palindrome (133431134331).

It can be divided in two parts, 1 and 12130103120, that added together give a palindrome (12130103121).

The spelling of 112130103120 in words is "one hundred twelve billion, one hundred thirty million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 112 116 120 140 145 168 174 203 210 232 240 280 290 336 348 406 420 435 464 560 580 609 696 812 840 870 1015 1160 1218 1392 1624 1680 1740 2030 2320 2436 3045 3248 3480 4060 4872 6090 6960 8120 9744 12180 16240 24360 48720 2301521 4603042 6904563 9206084 11507605 13809126 16110647 18412168 23015210 27618252 32221294 34522815 36824336 46030420 48331941 55236504 64442588 66744109 69045630 80553235 92060840 96663882 110473008 128885176 133488218 138091260 161106470 184121680 193327764 200232327 241659705 257770352 266976436 276182520 322212940 333720545 386655528 400464654 467208763 483319410 533952872 552365040 644425880 667441090 773311056 800929308 934417526 966638820 1001161635 1067905744 1288851760 1334882180 1401626289 1601858616 1868835052 1933277640 2002323270 2336043815 2669764360 2803252578 3203717232 3737670104 3866555280 4004646540 4672087630 5339528720 5606505156 7008131445 7475340208 8009293080 9344175260 11213010312 14016262890 16018586160 18688350520 22426020624 28032525780 37376701040 56065051560 112130103120