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2112222210021 = 337112761121369
BaseRepresentation
bin11110101111001010010…
…000010010011111100101
321110221000101201210102000
4132233022100102133211
5234101312341210041
64254201432235513
7305413556356650
oct36571220223745
97427011653360
102112222210021
11744874410200
122a1442b3bb99
1312424926ac41
1474336c52897
1539e2522cbb6
hex1ebca4127e5

2112222210021 has 96 divisors (see below), whose sum is σ = 3936116486400. Its totient is φ = 1095807398400.

The previous prime is 2112222210001. The next prime is 2112222210031. The reversal of 2112222210021 is 1200122222112.

It is a happy number.

2112222210021 is a `hidden beast` number, since 211 + 2 + 222 + 210 + 0 + 21 = 666.

It is not a de Polignac number, because 2112222210021 - 215 = 2112222177253 is a prime.

It is a super-2 number, since 2×21122222100212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112222209976 and 2112222210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112222210001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17342625 + ... + 17463993.

It is an arithmetic number, because the mean of its divisors is an integer number (41001213400).

Almost surely, 22112222210021 is an apocalyptic number.

2112222210021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2112222210021 is a deficient number, since it is larger than the sum of its proper divisors (1823894276379).

2112222210021 is a wasteful number, since it uses less digits than its factorization.

2112222210021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122168 (or 122151 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2112222210021 its reverse (1200122222112), we get a palindrome (3312344432133).

The spelling of 2112222210021 in words is "two trillion, one hundred twelve billion, two hundred twenty-two million, two hundred ten thousand, twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 121 189 231 297 363 693 761 847 1089 2079 2283 2541 3267 5327 6849 7623 8371 15981 20547 22869 25113 47943 58597 75339 92081 121369 143829 175791 226017 276243 364107 527373 644567 828729 849583 1092321 1335059 1582119 1933701 2486187 2548749 3276963 4005177 5801103 7646247 9345413 12015531 14685649 17403309 22938741 28036239 36046593 44056947 84108717 92361809 102799543 132170841 252326151 277085427 308398629 396512523 646532663 831256281 925195887 1015979899 1939597989 2493768843 2775587661 3047939697 5818793967 7111859293 9143819091 11175778889 17456381901 21335577879 27431457273 33527336667 64006733637 78230452223 100582010001 192020200911 234691356669 301746030003 704074070007 2112222210021