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201001202210112 = 26316272261928447
BaseRepresentation
bin101101101100111100111101…
…010000011101010101000000
3222100200112020101020002021220
4231230330331100131111000
5202321200430231210422
61551254402203315040
760223600111555353
oct5554747520352500
9870615211202256
10201001202210112
1159055149614517
121a663467b1ba80
138820441643b45
14378c71d9b429a
15183878112ae5c
hexb6cf3d41d540

201001202210112 has 112 divisors (see below), whose sum is σ = 532184783370240. Its totient is φ = 66953906376192.

The previous prime is 201001202210099. The next prime is 201001202210113. The reversal of 201001202210112 is 211012202100102.

201001202210112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201001202210091 and 201001202210100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001202210113) 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, 7065799473 + ... + 7065827919.

It is an arithmetic number, because the mean of its divisors is an integer number (4751649851520).

Almost surely, 2201001202210112 is an apocalyptic number.

It is an amenable number.

201001202210112 is an abundant number, since it is smaller than the sum of its proper divisors (331183581160128).

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

201001202210112 is a wasteful number, since it uses less digits than its factorization.

201001202210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52708 (or 52698 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201001202210112 its reverse (211012202100102), we get a palindrome (412013404310214).

The spelling of 201001202210112 in words is "two hundred one trillion, one billion, two hundred two million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1627 3254 4881 6508 9762 13016 19524 22619 26032 28447 39048 45238 52064 56894 67857 78096 85341 90476 104128 113788 135714 156192 170682 180952 227576 271428 312384 341364 361904 455152 542856 682728 723808 910304 1085712 1365456 1447616 1820608 2171424 2730912 4342848 5461824 36801113 46283269 73602226 92566538 110403339 138849807 147204452 185133076 220806678 277699614 294408904 370266152 441613356 555399228 588817808 643442693 740532304 883226712 1110798456 1177635616 1286885386 1481064608 1766453424 1930328079 2221596912 2355271232 2573770772 2962129216 3532906848 3860656158 4443193824 5147541544 7065813696 7721312316 8886387648 10295083088 15442624632 20590166176 30885249264 41180332352 61770498528 123540997056 1046881261511 2093762523022 3140643784533 4187525046044 6281287569066 8375050092088 12562575138132 16750100184176 25125150276264 33500200368352 50250300552528 67000400736704 100500601105056 201001202210112