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400012201320 = 233523557260201
BaseRepresentation
bin1011101001000101001…
…01011100110101101000
31102020111112112021001120
411310202211130311220
523023211110420240
6503432453415240
740620450416244
oct5644245346550
91366445467046
10400012201320
1114470a506436
126563733a520
132b94b020b64
1415509a5b424
15a612a08ad0
hex5d2295cd68

400012201320 has 128 divisors (see below), whose sum is σ = 1254465066240. Its totient is φ = 101848524800.

The previous prime is 400012201289. The next prime is 400012201327. The reversal of 400012201320 is 23102210004.

It is a super-2 number, since 2×4000122013202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 400012201320.

It is not an unprimeable number, because it can be changed into a prime (400012201327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1407220 + ... + 1667420.

It is an arithmetic number, because the mean of its divisors is an integer number (9800508330).

Almost surely, 2400012201320 is an apocalyptic number.

400012201320 is a gapful number since it is divisible by the number (40) 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 400012201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627232533120).

400012201320 is an abundant number, since it is smaller than the sum of its proper divisors (854452864920).

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

400012201320 is a wasteful number, since it uses less digits than its factorization.

400012201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260795 (or 260791 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 400012201320 its reverse (23102210004), we get a palindrome (423114411324).

The spelling of 400012201320 in words is "four hundred billion, twelve million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 557 690 920 1114 1380 1671 2228 2760 2785 3342 4456 5570 6684 8355 11140 12811 13368 16710 22280 25622 33420 38433 51244 64055 66840 76866 102488 128110 153732 192165 256220 260201 307464 384330 512440 520402 768660 780603 1040804 1301005 1537320 1561206 2081608 2602010 3122412 3903015 5204020 5984623 6244824 7806030 10408040 11969246 15612060 17953869 23938492 29923115 31224120 35907738 47876984 59846230 71815476 89769345 119692460 143630952 144931957 179538690 239384920 289863914 359077380 434795871 579727828 718154760 724659785 869591742 1159455656 1449319570 1739183484 2173979355 2898639140 3333435011 3478366968 4347958710 5797278280 6666870022 8695917420 10000305033 13333740044 16667175055 17391834840 20000610066 26667480088 33334350110 40001220132 50001525165 66668700220 80002440264 100003050330 133337400440 200006100660 400012201320