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11100220221222 = 232112331471716349
BaseRepresentation
bin1010000110000111100010…
…1011101110011100100110
31110022011121102200102021200
42201201320223232130212
52423331222334034342
635335212030423330
72223651543046236
oct241417053563446
943264542612250
1011100220221222
11359a638a29520
1212b3369361b46
1362699174aac2
142a537995dcc6
15143b1ede494c
hexa1878aee726

11100220221222 has 96 divisors (see below), whose sum is σ = 26352891021600. Its totient is φ = 3348834178560.

The previous prime is 11100220221217. The next prime is 11100220221227. The reversal of 11100220221222 is 22212202200111.

It is a happy number.

11100220221222 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 0 + 220 + 221 + 222 = 666.

11100220221222 is digitally balanced in base 2, 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 (11100220221217) and next prime (11100220221227).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11100220221195 and 11100220221204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100220221227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 678945904 + ... + 678962252.

It is an arithmetic number, because the mean of its divisors is an integer number (274509281475).

Almost surely, 211100220221222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100220221222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13176445510800).

11100220221222 is an abundant number, since it is smaller than the sum of its proper divisors (15252670800378).

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

11100220221222 is a wasteful number, since it uses less digits than its factorization.

11100220221222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31318 (or 31315 counting only the distinct ones).

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

Adding to 11100220221222 its reverse (22212202200111), we get a palindrome (33312422421333).

The spelling of 11100220221222 in words is "eleven trillion, one hundred billion, two hundred twenty million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 233 466 699 1398 2097 2563 4194 5126 7689 14717 15378 16349 23067 29434 32698 44151 46134 49047 88302 98094 132453 147141 161887 179839 264906 294282 323774 359678 485661 539517 971322 1079034 1456983 1618551 2913966 3237102 3429061 3809317 6858122 7618634 10287183 11427951 20574366 22855902 30861549 34283853 37719671 41902487 61723098 68567706 75439342 83804974 113159013 125707461 226318026 240608233 251414922 339477039 377122383 481216466 678954078 721824699 754244766 1443649398 2165474097 2646690563 4330948194 5293381126 7940071689 15880143378 23820215067 47640430134 56061718289 112123436578 168185154867 336370309734 504555464601 616678901179 1009110929202 1233357802358 1850036703537 3700073407074 5550110110611 11100220221222