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112310213120 = 295710758573
BaseRepresentation
bin110100010011000110…
…1011101101000000000
3101201220002110221222222
41220212031131220000
53320002403304440
6123332233350212
711054103026450
oct1504615355000
9351802427888
10112310213120
11436a3207456
1219924568368
13a78b009911
145615d4dd60
152dc4d352b5
hex1a2635da00

112310213120 has 160 divisors (see below), whose sum is σ = 310631511168. Its totient is φ = 38145835008.

The previous prime is 112310213111. The next prime is 112310213129. The reversal of 112310213120 is 21312013211.

It is an interprime number because it is at equal distance from previous prime (112310213111) and next prime (112310213129).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1123102131202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112310213129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1888154 + ... + 1946726.

Almost surely, 2112310213120 is an apocalyptic number.

112310213120 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 112310213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155315755584).

112310213120 is an abundant number, since it is smaller than the sum of its proper divisors (198321298048).

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

112310213120 is an equidigital number, since it uses as much as digits as its factorization.

112310213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58710 (or 58694 counting only the distinct ones).

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

Adding to 112310213120 its reverse (21312013211), we get a palindrome (133622226331).

The spelling of 112310213120 in words is "one hundred twelve billion, three hundred ten million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 107 112 128 140 160 214 224 256 280 320 428 448 512 535 560 640 749 856 896 1070 1120 1280 1498 1712 1792 2140 2240 2560 2996 3424 3584 3745 4280 4480 5992 6848 7490 8560 8960 11984 13696 14980 17120 17920 23968 27392 29960 34240 47936 54784 58573 59920 68480 95872 117146 119840 136960 191744 234292 239680 273920 292865 383488 410011 468584 479360 585730 820022 937168 958720 1171460 1640044 1874336 1917440 2050055 2342920 3280088 3748672 4100110 4685840 6267311 6560176 7497344 8200220 9371680 12534622 13120352 14994688 16400440 18743360 25069244 26240704 29989376 31336555 32800880 37486720 43871177 50138488 52481408 62673110 65601760 74973440 87742354 100276976 104962816 125346220 131203520 149946880 175484708 200553952 209925632 219355885 250692440 262407040 350969416 401107904 438711770 501384880 524814080 701938832 802215808 877423540 1002769760 1049628160 1403877664 1604431616 1754847080 2005539520 2807755328 3208863232 3509694160 4011079040 5615510656 7019388320 8022158080 11231021312 14038776640 16044316160 22462042624 28077553280 56155106560 112310213120