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2200000211112 = 23311149259321569
BaseRepresentation
bin100000000000111010001…
…110110010100010101000
321210022120210112021001110
4200000322032302202220
5242021100023223422
64402355515350320
7314642025151404
oct40007216624250
97708523467043
102200000211112
11779018846660
122b645b7523a0
1312c5c7928662
14786a29c8104
153c36149460c
hex2003a3b28a8

2200000211112 has 128 divisors (see below), whose sum is σ = 6042878640000. Its totient is φ = 661906391040.

The previous prime is 2200000211083. The next prime is 2200000211113. The reversal of 2200000211112 is 2111120000022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2200000211113) 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, 101987464 + ... + 102009032.

It is an arithmetic number, because the mean of its divisors is an integer number (47209989375).

Almost surely, 22200000211112 is an apocalyptic number.

2200000211112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200000211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021439320000).

2200000211112 is an abundant number, since it is smaller than the sum of its proper divisors (3842878428888).

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

2200000211112 is a wasteful number, since it uses less digits than its factorization.

2200000211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24331 (or 24327 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2200000211112 its reverse (2111120000022), we get a palindrome (4311120211134).

The spelling of 2200000211112 in words is "two trillion, two hundred billion, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 149 264 298 447 596 894 1192 1639 1788 2593 3278 3576 4917 5186 6556 7779 9834 10372 13112 15558 19668 20744 21569 28523 31116 39336 43138 57046 62232 64707 85569 86276 114092 129414 171138 172552 228184 237259 258828 342276 386357 474518 517656 684552 711777 772714 949036 1159071 1423554 1545428 1898072 2318142 2847108 3090856 3213781 4249927 4636284 5694216 6427562 8499854 9272568 9641343 12749781 12855124 16999708 19282686 25499562 25710248 33999416 35351591 38565372 50999124 55928417 70703182 77130744 101998248 106054773 111856834 141406364 167785251 212109546 223713668 282812728 335570502 424219092 447427336 615212587 671141004 848438184 1230425174 1342282008 1845637761 2460850348 3691275522 4921700696 7382551044 8333334133 14765102088 16666668266 25000002399 33333336532 50000004798 66666673064 91666675463 100000009596 183333350926 200000019192 275000026389 366666701852 550000052778 733333403704 1100000105556 2200000211112