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13002231000 = 2335311394007
BaseRepresentation
bin11000001101111111…
…00100110011011000
31020120010222202211010
430012333210303120
5203112032343000
65550110533520
7640131066003
oct140677446330
936503882733
1013002231000
115572469660
12262a5072a0
1312c29a3315
148b4b8a53a
15511742d50
hex306fe4cd8

13002231000 has 128 divisors (see below), whose sum is σ = 44254978560. Its totient is φ = 3152048000.

The previous prime is 13002230999. The next prime is 13002231001. The reversal of 13002231000 is 13220031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13002230999) and next prime (13002231001).

It is a super-3 number, since 3×130022310003 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002231001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164004 + ... + 230003.

It is an arithmetic number, because the mean of its divisors is an integer number (345742020).

Almost surely, 213002231000 is an apocalyptic number.

13002231000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13002231000 is an abundant number, since it is smaller than the sum of its proper divisors (31252747560).

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

13002231000 is a wasteful number, since it uses less digits than its factorization.

13002231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394042 (or 394028 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13002231000 its reverse (13220031), we get a palindrome (13015451031).

The spelling of 13002231000 in words is "thirteen billion, two million, two hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 394007 788014 1182021 1576028 1970035 2364042 3152056 3940070 4334077 4728084 5910105 7880140 8668154 9456168 9850175 11820210 13002231 15760280 17336308 19700350 21670385 23640420 26004462 29550525 34672616 39400700 43340770 47280840 49250875 52008924 59101050 65011155 78801400 86681540 98501750 104017848 108351925 118202100 130022310 147752625 173363080 197003500 216703850 236404200 260044620 295505250 325055775 394007000 433407700 520089240 541759625 591010500 650111550 866815400 1083519250 1182021000 1300223100 1625278875 2167038500 2600446200 3250557750 4334077000 6501115500 13002231000