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220010213112 = 233374310753849
BaseRepresentation
bin1100110011100110100…
…0010110111011111000
3210000212220000211111120
43030321220112323320
512101040103304422
6245023222225240
721616025645514
oct3147150267370
9700786024446
10220010213112
1185340036508
1236780b85220
1317992b61671
14a9118a5144
155aca05b45c
hex3339a16ef8

220010213112 has 128 divisors (see below), whose sum is σ = 583441056000. Its totient is φ = 69042613248.

The previous prime is 220010213053. The next prime is 220010213191. The reversal of 220010213112 is 211312010022.

It is a junction number, because it is equal to n+sod(n) for n = 220010213091 and 220010213100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4058764 + ... + 4112612.

It is an arithmetic number, because the mean of its divisors is an integer number (4558133250).

Almost surely, 2220010213112 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 220010213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291720528000).

220010213112 is an abundant number, since it is smaller than the sum of its proper divisors (363430842888).

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

220010213112 is a wasteful number, since it uses less digits than its factorization.

220010213112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54045 (or 54041 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 220010213112 its reverse (211312010022), we get a palindrome (431322223134).

The spelling of 220010213112 in words is "two hundred twenty billion, ten million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 43 74 86 107 111 129 148 172 214 222 258 296 321 344 428 444 516 642 856 888 1032 1284 1591 2568 3182 3959 4601 4773 6364 7918 9202 9546 11877 12728 13803 15836 18404 19092 23754 27606 31672 36808 38184 47508 53849 55212 95016 107698 110424 161547 170237 215396 323094 340474 430792 510711 646188 680948 1021422 1292376 1361896 1992413 2042844 2315507 3984826 4085688 4631014 5761843 5977239 6946521 7969652 9262028 11523686 11954478 13893042 15939304 17285529 18524056 23047372 23908956 27786084 34571058 46094744 47817912 55572168 69142116 85673759 138284232 171347518 213188191 247759249 257021277 342695036 426376382 495518498 514042554 639564573 685390072 743277747 852752764 991036996 1028085108 1279129146 1486555494 1705505528 1982073992 2056170216 2558258292 2973110988 5116516584 5946221976 9167092213 18334184426 27501276639 36668368852 55002553278 73336737704 110005106556 220010213112