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112112103320 = 235716717313859
BaseRepresentation
bin110100001101001100…
…1101110111110011000
3101201101021200221102222
41220122121232332120
53314101144301240
6123300435243212
711046146104040
oct1503231567630
9351337627388
10112112103320
11436013a5648
121988a149508
13a758c64a99
1455d7900720
152db2750eb5
hex1a1a66ef98

112112103320 has 128 divisors (see below), whose sum is σ = 291711974400. Its totient is φ = 37984667136.

The previous prime is 112112103317. The next prime is 112112103329. The reversal of 112112103320 is 23301211211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112103329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8082551 + ... + 8096409.

It is an arithmetic number, because the mean of its divisors is an integer number (2278999800).

Almost surely, 2112112103320 is an apocalyptic number.

112112103320 is a gapful number since it is divisible by the number (10) 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 112112103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145855987200).

112112103320 is an abundant number, since it is smaller than the sum of its proper divisors (179599871080).

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

112112103320 is a wasteful number, since it uses less digits than its factorization.

112112103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14217 (or 14213 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 112112103320 its reverse (23301211211), we get a palindrome (135413314531).

The spelling of 112112103320 in words is "one hundred twelve billion, one hundred twelve million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 167 173 280 334 346 668 692 835 865 1169 1211 1336 1384 1670 1730 2338 2422 3340 3460 4676 4844 5845 6055 6680 6920 9352 9688 11690 12110 13859 23380 24220 27718 28891 46760 48440 55436 57782 69295 97013 110872 115564 138590 144455 194026 202237 231128 277180 288910 388052 404474 485065 554360 577820 776104 808948 970130 1011185 1155640 1617896 1940260 2022370 2314453 2397607 3880520 4044740 4628906 4795214 8089480 9257812 9590428 11572265 11988035 16201171 16783249 18515624 19180856 23144530 23976070 32402342 33566498 46289060 47952140 64804684 67132996 81005855 83916245 92578120 95904280 129609368 134265992 162011710 167832490 324023420 335664980 400400369 648046840 671329960 800800738 1601601476 2002001845 2802802583 3203202952 4004003690 5605605166 8008007380 11211210332 14014012915 16016014760 22422420664 28028025830 56056051660 112112103320