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13421023000 = 2353711174299
BaseRepresentation
bin11000111111111010…
…01000111100011000
31021122100000121102221
430133331020330120
5204441240214000
610055431033424
7653404545640
oct143775107430
937570017387
1013421023000
1157678aa250
12272680b874
13135b694238
14914643520
155383b961a
hex31ff48f18

13421023000 has 128 divisors (see below), whose sum is σ = 39154752000. Its totient is φ = 4183152000.

The previous prime is 13421022991. The next prime is 13421023001. The reversal of 13421023000 is 32012431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13421023001) 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, 10150 + ... + 164149.

It is an arithmetic number, because the mean of its divisors is an integer number (305896500).

Almost surely, 213421023000 is an apocalyptic number.

13421023000 is a gapful number since it is divisible by the number (10) 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 13421023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19577376000).

13421023000 is an abundant number, since it is smaller than the sum of its proper divisors (25733729000).

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

13421023000 is a wasteful number, since it uses less digits than its factorization.

13421023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174338 (or 174324 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13421023000 its reverse (32012431), we get a palindrome (13453035431).

The spelling of 13421023000 in words is "thirteen billion, four hundred twenty-one million, twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1925 2200 2750 3080 3500 3850 5500 7000 7700 9625 11000 15400 19250 38500 77000 174299 348598 697196 871495 1220093 1394392 1742990 1917289 2440186 3485980 3834578 4357475 4880372 6100465 6971960 7669156 8714950 9586445 9760744 12200930 13421023 15338312 17429900 19172890 21787375 24401860 26842046 30502325 34859800 38345780 43574750 47932225 48803720 53684092 61004650 67105115 76691560 87149500 95864450 107368184 122009300 134210230 152511625 174299000 191728900 239661125 244018600 268420460 305023250 335525575 383457800 479322250 536840920 610046500 671051150 958644500 1220093000 1342102300 1677627875 1917289000 2684204600 3355255750 6710511500 13421023000