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10334141100 = 22325279714407
BaseRepresentation
bin10011001111111011…
…00111101010101100
3222200012111202112200
421213331213222230
5132131020003400
64425240301500
7514042515153
oct114775475254
928605452480
1010334141100
114423398188
122004a71890
13c88cb00ba
147006a259a
154073b2b00
hex267f67aac

10334141100 has 108 divisors (see below), whose sum is σ = 32434684464. Its totient is φ = 2752122240.

The previous prime is 10334141099. The next prime is 10334141117. The reversal of 10334141100 is 114143301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 710097 + ... + 724503.

Almost surely, 210334141100 is an apocalyptic number.

10334141100 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 10334141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16217342232).

10334141100 is an abundant number, since it is smaller than the sum of its proper divisors (22100543364).

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

10334141100 is a wasteful number, since it uses less digits than its factorization.

10334141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15224 (or 15214 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10334141100 its reverse (114143301), we get a palindrome (10448284401).

It can be divided in two parts, 103341 and 41100, that added together give a palindrome (144441).

The spelling of 10334141100 in words is "ten billion, three hundred thirty-four million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 797 900 1594 2391 3188 3985 4782 7173 7970 9564 11955 14346 14407 15940 19925 23910 28692 28814 35865 39850 43221 47820 57628 59775 71730 72035 79700 86442 119550 129663 143460 144070 172884 179325 216105 239100 259326 288140 358650 360175 432210 518652 648315 717300 720350 864420 1080525 1296630 1440700 2161050 2593260 3241575 4322100 6483150 11482379 12966300 22964758 34447137 45929516 57411895 68894274 103341411 114823790 137788548 172235685 206682822 229647580 287059475 344471370 413365644 516707055 574118950 688942740 861178425 1033414110 1148237900 1722356850 2066828220 2583535275 3444713700 5167070550 10334141100