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1131213220312 = 237217231173453
BaseRepresentation
bin10000011101100001100…
…011111110100111011000
311000010212012020122111111
4100131201203332213120
5122013211041022222
62223401105110104
7144504342502600
oct20354143764730
94003765218444
101131213220312
113a682141043a
121632a1028334
13828996130c6
143ca72ac3c00
151e65ad77777
hex107618fe9d8

1131213220312 has 96 divisors (see below), whose sum is σ = 2613616722720. Its totient is φ = 456084034560.

The previous prime is 1131213220307. The next prime is 1131213220343. The reversal of 1131213220312 is 2130223121311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15363778 + ... + 15437230.

It is an arithmetic number, because the mean of its divisors is an integer number (27225174195).

Almost surely, 21131213220312 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 1131213220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306808361360).

1131213220312 is an abundant number, since it is smaller than the sum of its proper divisors (1482403502408).

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

1131213220312 is a wasteful number, since it uses less digits than its factorization.

1131213220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75801 (or 75790 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1131213220312 its reverse (2130223121311), we get a palindrome (3261436341623).

Subtracting 1131213220312 from its reverse (2130223121311), we obtain a palindrome (999009900999).

The spelling of 1131213220312 in words is "one trillion, one hundred thirty-one billion, two hundred thirteen million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1666 2311 3332 4622 6664 9244 16177 18488 32354 39287 64708 73453 78574 113239 129416 146906 157148 226478 275009 293812 314296 452956 514171 550018 587624 905912 1028342 1100036 1248701 1925063 2056684 2200072 2497402 3599197 3850126 4113368 4994804 7198394 7700252 8740907 9989608 14396788 15400504 17481814 28793576 34963628 61186349 69927256 122372698 169749883 244745396 339499766 489490792 678999532 1188249181 1357999064 2376498362 2885748011 4752996724 5771496022 8317744267 9505993448 11542992044 16635488534 20200236077 23085984088 33270977068 40400472154 66541954136 80800944308 141401652539 161601888616 282803305078 565606610156 1131213220312