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112010211002000 = 2453237121341947
BaseRepresentation
bin11001011101111101101000…
…110101101000011010010000
3112200121001221012012021112102
4121131331220311220122100
5104140133403004031000
61034120440334015532
732410320306226013
oct3135755065503220
9480531835167472
10112010211002000
113276529a012a03
12106903b50475a8
134a6669615cc3c
141d9347499b37a
15ce3998d7c3d5
hex65df68d68690

112010211002000 has 160 divisors (see below), whose sum is σ = 282656886729984. Its totient is φ = 42849937152000.

The previous prime is 112010211001991. The next prime is 112010211002009. The reversal of 112010211002000 is 200112010211.

It is an interprime number because it is at equal distance from previous prime (112010211001991) and next prime (112010211002009).

It is not an unprimeable number, because it can be changed into a prime (112010211002009) 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, 327395027 + ... + 327736973.

Almost surely, 2112010211002000 is an apocalyptic number.

112010211002000 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 112010211002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141328443364992).

112010211002000 is an abundant number, since it is smaller than the sum of its proper divisors (170646675727984).

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

112010211002000 is a wasteful number, since it uses less digits than its factorization.

112010211002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349114 (or 349098 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112010211002000 its reverse (200112010211), we get a palindrome (112210323012211).

The spelling of 112010211002000 in words is "one hundred twelve trillion, ten billion, two hundred eleven million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5750 7121 9200 11500 14242 23000 28484 35605 46000 56968 71210 113936 142420 163783 178025 284840 327566 341947 356050 569680 655132 683894 712100 818915 890125 1310264 1367788 1424200 1637830 1709735 1780250 2620528 2735576 2848400 3275660 3419470 3560500 4094575 5471152 6551320 6838940 7121000 7864781 8189150 8548675 13102640 13677880 14242000 15729562 16378300 17097350 20472875 27355760 31459124 32756600 34194700 39323905 40945750 42743375 62918248 65513200 68389400 78647810 81891500 85486750 125836496 136778800 157295620 163783000 170973500 196619525 314591240 327566000 341947000 393239050 629182480 683894000 786478100 983097625 1572956200 1966195250 2435004587 3145912400 3932390500 4870009174 7864781000 9740018348 12175022935 15729562000 19480036696 24350045870 38960073392 48700091740 56005105501 60875114675 97400183480 112010211002 121750229350 194800366960 224020422004 243500458700 280025527505 304375573375 448040844008 487000917400 560051055010 608751146750 896081688016 974001834800 1120102110020 1217502293500 1400127637525 2240204220040 2435004587000 2800255275050 4480408440080 4870009174000 5600510550100 7000638187625 11201021100200 14001276375250 22402042200400 28002552750500 56005105501000 112010211002000