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112202213011000 = 2353753302431841
BaseRepresentation
bin11001100000110000011101…
…000011001010111000111000
3112201021102112010211220221221
4121200300131003022320320
5104201310113012323000
61034344552435241424
732430225302331010
oct3140603503127070
9481242463756857
10112202213011000
1132829767159092
121070165a149274
134a7b814490558
141d9c88a778c40
15ce89850a161a
hex660c1d0cae38

112202213011000 has 128 divisors (see below), whose sum is σ = 305722300440960. Its totient is φ = 37743493632000.

The previous prime is 112202213010977. The next prime is 112202213011001. The reversal of 112202213011000 is 110312202211.

It is a super-2 number, since 2×1122022130110002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112202213011001) 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, 150844921 + ... + 151586920.

It is an arithmetic number, because the mean of its divisors is an integer number (2388455472195).

Almost surely, 2112202213011000 is an apocalyptic number.

112202213011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112202213011000 is an abundant number, since it is smaller than the sum of its proper divisors (193520087429960).

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

112202213011000 is a wasteful number, since it uses less digits than its factorization.

112202213011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302431922 (or 302431908 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 112202213011000 its reverse (110312202211), we get a palindrome (112312525213211).

The spelling of 112202213011000 in words is "one hundred twelve trillion, two hundred two billion, two hundred thirteen million, eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 53 56 70 100 106 125 140 175 200 212 250 265 280 350 371 424 500 530 700 742 875 1000 1060 1325 1400 1484 1750 1855 2120 2650 2968 3500 3710 5300 6625 7000 7420 9275 10600 13250 14840 18550 26500 37100 46375 53000 74200 92750 185500 371000 302431841 604863682 1209727364 1512159205 2117022887 2419454728 3024318410 4234045774 6048636820 7560796025 8468091548 10585114435 12097273640 15121592050 16028887573 16936183096 21170228870 30243184100 32057775146 37803980125 42340457740 52925572175 60486368200 64115550292 75607960250 80144437865 84680915480 105851144350 112202213011 128231100584 151215920500 160288875730 211702288700 224404426022 264627860875 302431841000 320577751460 400722189325 423404577400 448808852044 529255721750 561011065055 641155502920 801444378650 897617704088 1058511443500 1122022130110 1602888757300 2003610946625 2117022887000 2244044260220 2805055325275 3205777514600 4007221893250 4488088520440 5610110650550 8014443786500 11220221301100 14025276626375 16028887573000 22440442602200 28050553252750 56101106505500 112202213011000