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11313003220032 = 2635310971013431
BaseRepresentation
bin1010010010100000001110…
…0010011100110001000000
31111001111211122102201120110
42210220003202130301000
52440323012311020112
640021042200511320
72245223523514323
oct244500342346100
944044748381513
1011313003220032
1136718aa42a948
121328651a7b540
13640a721b11a7
142b17a36407ba
1514942570413c
hexa4a0389cc40

11313003220032 has 112 divisors (see below), whose sum is σ = 30524912353152. Its totient is φ = 3696473763840.

The previous prime is 11313003220027. The next prime is 11313003220073. The reversal of 11313003220032 is 23002230031311.

It is a junction number, because it is equal to n+sod(n) for n = 11313003219990 and 11313003220008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10656357 + ... + 11669787.

It is an arithmetic number, because the mean of its divisors is an integer number (272543860296).

Almost surely, 211313003220032 is an apocalyptic number.

11313003220032 is a gapful number since it is divisible by the number (12) 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 11313003220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15262456176576).

11313003220032 is an abundant number, since it is smaller than the sum of its proper divisors (19211909133120).

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

11313003220032 is a wasteful number, since it uses less digits than its factorization.

11313003220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014596 (or 1014586 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 11313003220032 its reverse (23002230031311), we get a palindrome (34315233251343).

The spelling of 11313003220032 in words is "eleven trillion, three hundred thirteen billion, three million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 1097 1272 1696 2194 2544 3291 3392 4388 5088 6582 8776 10176 13164 17552 26328 35104 52656 58141 70208 105312 116282 174423 210624 232564 348846 465128 697692 930256 1013431 1395384 1860512 2026862 2790768 3040293 3721024 4053724 5581536 6080586 8107448 11163072 12161172 16214896 24322344 32429792 48644688 53711843 64859584 97289376 107423686 161135529 194578752 214847372 322271058 429694744 644542116 859389488 1111733807 1289084232 1718778976 2223467614 2578168464 3335201421 3437557952 4446935228 5156336928 6670402842 8893870456 10312673856 13340805684 17787740912 26681611368 35575481824 53363222736 58921891771 71150963648 106726445472 117843783542 176765675313 213452890944 235687567084 353531350626 471375134168 707062701252 942750268336 1414125402504 1885500536672 2828250805008 3771001073344 5656501610016 11313003220032