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100022212221 = 3193753338893
BaseRepresentation
bin101110100100111001…
…0011101011001111101
3100120011201102211200120
41131021302131121331
53114321141242341
6113541035045153
710140433530111
oct1351162353175
9316151384616
10100022212221
1139467a27508
12174752a07b9
1395802b8a79
144babda3741
152906176066
hex1749c9d67d

100022212221 has 32 divisors (see below), whose sum is σ = 144219411840. Its totient is φ = 61446138624.

The previous prime is 100022212207. The next prime is 100022212253. The reversal of 100022212221 is 122212220001.

It is not a de Polignac number, because 100022212221 - 229 = 99485341309 is a prime.

It is a super-5 number, since 5×1000222122215 (a number of 56 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3.

It is a self number, because there is not a number n which added to its sum of digits gives 100022212221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022216221) 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, 11242851 + ... + 11251743.

It is an arithmetic number, because the mean of its divisors is an integer number (4506856620).

Almost surely, 2100022212221 is an apocalyptic number.

It is an amenable number.

100022212221 is a deficient number, since it is larger than the sum of its proper divisors (44197199619).

100022212221 is a wasteful number, since it uses less digits than its factorization.

100022212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14285.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100022212221 its reverse (122212220001), we get a palindrome (222234432222).

The spelling of 100022212221 in words is "one hundred billion, twenty-two million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 19 37 57 111 703 2109 5333 8893 15999 26679 101327 168967 197321 303981 329041 506901 591963 987123 3749099 6251779 11247297 18755337 47426369 142279107 901101011 1754775653 2703303033 5264326959 33340737407 100022212221