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10334120200 = 2352536714551
BaseRepresentation
bin10011001111111011…
…00010100100001000
3222200012110200212121
421213331202210020
5132131013321300
64425240021024
7514042400215
oct114775424410
928605420777
1010334120200
114423383508
122004a61774
13c88ca3731
14700698b0c
154073ab81a
hex267f62908

10334120200 has 96 divisors (see below), whose sum is σ = 24847248960. Its totient is φ = 3994848000.

The previous prime is 10334120189. The next prime is 10334120201. The reversal of 10334120200 is 202143301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10334120201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702925 + ... + 717475.

It is an arithmetic number, because the mean of its divisors is an integer number (258825510).

Almost surely, 210334120200 is an apocalyptic number.

10334120200 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 10334120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12423624480).

10334120200 is an abundant number, since it is smaller than the sum of its proper divisors (14513128760).

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

10334120200 is a wasteful number, since it uses less digits than its factorization.

10334120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14687 (or 14678 counting only the distinct ones).

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

Adding to 10334120200 its reverse (202143301), we get a palindrome (10536263501).

The spelling of 10334120200 in words is "ten billion, three hundred thirty-four million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 67 100 106 134 200 212 265 268 335 424 530 536 670 1060 1325 1340 1675 2120 2650 2680 3350 3551 5300 6700 7102 10600 13400 14204 14551 17755 28408 29102 35510 58204 71020 72755 88775 116408 142040 145510 177550 291020 355100 363775 582040 710200 727550 771203 974917 1455100 1542406 1949834 2910200 3084812 3856015 3899668 4874585 6169624 7712030 7799336 9749170 15424060 19280075 19498340 24372925 30848120 38560150 38996680 48745850 51670601 77120300 97491700 103341202 154240600 194983400 206682404 258353005 413364808 516706010 1033412020 1291765025 2066824040 2583530050 5167060100 10334120200