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1122214214430 = 232531479839723
BaseRepresentation
bin10000010101001001001…
…011011111101100011110
310222021122001000210011100
4100111021023133230132
5121341243314330210
62215312121133530
7144035341302051
oct20251113375436
93867561023140
101122214214430
113a2a237390a1
121615ab32a2a6
1381a9412045a
143c45b88aa98
151e2d0ce55c0
hex105492dfb1e

1122214214430 has 96 divisors (see below), whose sum is σ = 3018169589760. Its totient is φ = 288998723520.

The previous prime is 1122214214393. The next prime is 1122214214449. The reversal of 1122214214430 is 344124122211.

1122214214430 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 2 + 14 + 214 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1122214214394 and 1122214214403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 916549 + ... + 1756271.

It is an arithmetic number, because the mean of its divisors is an integer number (31439266560).

Almost surely, 21122214214430 is an apocalyptic number.

1122214214430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122214214430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509084794880).

1122214214430 is an abundant number, since it is smaller than the sum of its proper divisors (1895955375330).

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

1122214214430 is a wasteful number, since it uses less digits than its factorization.

1122214214430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840246 (or 840243 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1122214214430 its reverse (344124122211), we get a palindrome (1466338336641).

The spelling of 1122214214430 in words is "one trillion, one hundred twenty-two billion, two hundred fourteen million, two hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 479 558 930 958 1395 1437 2395 2790 2874 4311 4790 7185 8622 14370 14849 21555 29698 43110 44547 74245 89094 133641 148490 222735 267282 445470 668205 839723 1336410 1679446 2519169 4198615 5038338 7557507 8397230 12595845 15115014 25191690 26031413 37787535 52062826 75575070 78094239 130157065 156188478 234282717 260314130 390471195 402227317 468565434 780942390 804454634 1171413585 1206681951 2011136585 2342827170 2413363902 3620045853 4022273170 6033409755 7240091706 12066819510 12469046827 18100229265 24938093654 36200458530 37407140481 62345234135 74814280962 112221421443 124690468270 187035702405 224442842886 374071404810 561107107215 1122214214430