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10330231200 = 2535211633701
BaseRepresentation
bin10011001111011101…
…01101000110100000
3222122221011010011120
421213232231012200
5132124014344300
64425020412240
7513664342062
oct114756550640
928587133146
1010330231200
114421167663
1220036a7080
13c88241553
146ddd65732
15406d8e3a0
hex267bad1a0

10330231200 has 144 divisors (see below), whose sum is σ = 33662907936. Its totient is φ = 2751616000.

The previous prime is 10330231193. The next prime is 10330231273. The reversal of 10330231200 is 213203301.

10330231200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10330231200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2789350 + ... + 2793050.

It is an arithmetic number, because the mean of its divisors is an integer number (233770194).

Almost surely, 210330231200 is an apocalyptic number.

10330231200 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 10330231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16831453968).

10330231200 is an abundant number, since it is smaller than the sum of its proper divisors (23332676736).

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

10330231200 is a wasteful number, since it uses less digits than its factorization.

10330231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4887 (or 4874 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10330231200 its reverse (213203301), we get a palindrome (10543434501).

The spelling of 10330231200 in words is "ten billion, three hundred thirty million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1163 1200 2326 2400 3489 3701 4652 5815 6978 7402 9304 11103 11630 13956 14804 17445 18505 18608 22206 23260 27912 29075 29608 34890 37010 37216 44412 46520 55515 55824 58150 59216 69780 74020 87225 88824 92525 93040 111030 111648 116300 118432 139560 148040 174450 177648 185050 186080 222060 232600 277575 279120 296080 348900 355296 370100 444120 465200 555150 558240 592160 697800 740200 888240 930400 1110300 1395600 1480400 1776480 2220600 2791200 2960800 4304263 4441200 8608526 8882400 12912789 17217052 21521315 25825578 34434104 43042630 51651156 64563945 68868208 86085260 103302312 107606575 129127890 137736416 172170520 206604624 215213150 258255780 322819725 344341040 413209248 430426300 516511560 645639450 688682080 860852600 1033023120 1291278900 1721705200 2066046240 2582557800 3443410400 5165115600 10330231200