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2022101101212 = 2231924191114039
BaseRepresentation
bin11101011011001110100…
…111100010101010011100
321011022101200222010020020
4131123032213202222130
5231112230340214322
64144535044152140
7266043356523333
oct35331647425234
97138350863206
102022101101212
1170a6283a0295
12287a91698650
131188b632415a
146dc27c2ad1a
15378ed42c05c
hex1d6ce9e2a9c

2022101101212 has 72 divisors (see below), whose sum is σ = 4991523062400. Its totient is φ = 637033665312.

The previous prime is 2022101101187. The next prime is 2022101101247. The reversal of 2022101101212 is 2121011012202.

It is a junction number, because it is equal to n+sod(n) for n = 2022101101191 and 2022101101200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1258089 + ... + 2372127.

It is an arithmetic number, because the mean of its divisors is an integer number (69326709200).

Almost surely, 22022101101212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022101101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495761531200).

2022101101212 is an abundant number, since it is smaller than the sum of its proper divisors (2969421961188).

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

2022101101212 is a wasteful number, since it uses less digits than its factorization.

2022101101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114503 (or 1114482 counting only the distinct ones).

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

Adding to 2022101101212 its reverse (2121011012202), we get a palindrome (4143112113414).

The spelling of 2022101101212 in words is "two trillion, twenty-two billion, one hundred one million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 419 722 838 1083 1257 1444 1676 2166 2514 4332 5028 7961 15922 23883 31844 47766 95532 151259 302518 453777 605036 907554 1114039 1815108 2228078 3342117 4456156 6684234 13368468 21166741 42333482 63500223 84666964 127000446 254000892 402168079 466782341 804336158 933564682 1206504237 1400347023 1608672316 1867129364 2413008474 2800694046 4826016948 5601388092 8868864479 17737728958 26606593437 35475457916 53213186874 106426373748 168508425101 337016850202 505525275303 674033700404 1011050550606 2022101101212