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103212111222 = 23311299116577
BaseRepresentation
bin110000000011111101…
…0111101010101110110
3100212102000210111111000
41200013322331111312
53142334300024342
6115225345424130
710312456320153
oct1400772752566
9325360714430
10103212111222
113a854600880
121800563b046
13996b12ba7c
144dd18bd22a
152a4122b44c
hex1807ebd576

103212111222 has 128 divisors (see below), whose sum is σ = 259162675200. Its totient is φ = 30160166400.

The previous prime is 103212111221. The next prime is 103212111253. The reversal of 103212111222 is 222111212301.

103212111222 is a `hidden beast` number, since 10 + 321 + 2 + 111 + 222 = 666.

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 = 103212111195 and 103212111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103212111221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15689598 + ... + 15696174.

It is an arithmetic number, because the mean of its divisors is an integer number (2024708400).

Almost surely, 2103212111222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103212111222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129581337600).

103212111222 is an abundant number, since it is smaller than the sum of its proper divisors (155950563978).

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

103212111222 is a wasteful number, since it uses less digits than its factorization.

103212111222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7539 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 103212111222 its reverse (222111212301), we get a palindrome (325323323523).

The spelling of 103212111222 in words is "one hundred three billion, two hundred twelve million, one hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 87 99 174 198 261 297 319 522 594 638 783 911 957 1566 1822 1914 2733 2871 5466 5742 6577 8199 8613 10021 13154 16398 17226 19731 20042 24597 26419 30063 39462 49194 52838 59193 60126 72347 79257 90189 118386 144694 158514 177579 180378 190733 217041 237771 270567 290609 355158 381466 434082 475542 541134 572199 581218 651123 713313 871827 1144398 1302246 1426626 1716597 1743654 1953369 2098063 2615481 3433194 3906738 4196126 5149791 5230962 5991647 6294189 7846443 10299582 11983294 12588378 15692886 17974941 18882567 35949882 37765134 53924823 56647701 65908117 107849646 113295402 131816234 161774469 173757763 197724351 323548938 347515526 395448702 521273289 593173053 1042546578 1186346106 1563819867 1779519159 1911335393 3127639734 3559038318 3822670786 4691459601 5734006179 9382919202 11468012358 17202018537 34404037074 51606055611 103212111222