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201012120110022 = 2313131125915625381
BaseRepresentation
bin101101101101000111001000…
…000000111100001111000110
3222100201120102021011212101020
4231231013020000330033012
5202321340310222010042
61551303405420012010
760224434503310344
oct5555071000741706
9870646367155336
10201012120110022
11590598414772a1
121a6655b4391006
138821491554250
14378d0779d2994
151838bbe89e3ec
hexb6d1c803c3c6

201012120110022 has 64 divisors (see below), whose sum is σ = 436600673752320. Its totient is φ = 61328991484800.

The previous prime is 201012120110003. The next prime is 201012120110041. The reversal of 201012120110022 is 220011021210102.

201012120110022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201012120110003) and next prime (201012120110041).

It is a super-2 number, since 2×2010121201100222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201012120109983 and 201012120110010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5051772 + ... + 20677152.

It is an arithmetic number, because the mean of its divisors is an integer number (6821885527380).

Almost surely, 2201012120110022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201012120110022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218300336876160).

201012120110022 is an abundant number, since it is smaller than the sum of its proper divisors (235588553642298).

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

201012120110022 is a wasteful number, since it uses less digits than its factorization.

201012120110022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15626789.

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

Adding to 201012120110022 its reverse (220011021210102), we get a palindrome (421023141320124).

The spelling of 201012120110022 in words is "two hundred one trillion, twelve billion, one hundred twenty million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 131 262 393 786 1259 1703 2518 3406 3777 5109 7554 10218 16367 32734 49101 98202 164929 329858 494787 989574 2144077 4288154 6432231 12864462 15625381 31250762 46876143 93752286 203129953 406259906 609389859 1218779718 2046924911 4093849822 6140774733 12281549466 19672354679 26610023843 39344709358 53220047686 59017064037 79830071529 118034128074 159660143058 255740610827 511481221654 767221832481 1534443664962 2577078462949 5154156925898 7731235388847 15462470777694 33502020018337 67004040036674 100506060055011 201012120110022