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10340442120 = 2335238345139
BaseRepresentation
bin10011010000101011…
…01010000000001000
3222200122100212220210
421220111222000020
5132134123121440
64430023321120
7514150210401
oct115025520010
928618325823
1010340442120
114426a01238
122006bb01a0
13c8a3a8108
147014629a8
15407c09a80
hex26856a008

10340442120 has 128 divisors (see below), whose sum is σ = 32760806400. Its totient is φ = 2605726464.

The previous prime is 10340442109. The next prime is 10340442137. The reversal of 10340442120 is 2124404301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206511 + ... + 251649.

It is an arithmetic number, because the mean of its divisors is an integer number (255943800).

Almost surely, 210340442120 is an apocalyptic number.

10340442120 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 10340442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16380403200).

10340442120 is an abundant number, since it is smaller than the sum of its proper divisors (22420364280).

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

10340442120 is a wasteful number, since it uses less digits than its factorization.

10340442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45259 (or 45255 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10340442120 its reverse (2124404301), we get a palindrome (12464846421).

The spelling of 10340442120 in words is "ten billion, three hundred forty million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 83 92 115 120 138 166 184 230 249 276 332 345 415 460 498 552 664 690 830 920 996 1245 1380 1660 1909 1992 2490 2760 3320 3818 4980 5727 7636 9545 9960 11454 15272 19090 22908 28635 38180 45139 45816 57270 76360 90278 114540 135417 180556 225695 229080 270834 361112 451390 541668 677085 902780 1038197 1083336 1354170 1805560 2076394 2708340 3114591 3746537 4152788 5190985 5416680 6229182 7493074 8305576 10381970 11239611 12458364 14986148 15572955 18732685 20763940 22479222 24916728 29972296 31145910 37465370 41527880 44958444 56198055 62291820 74930740 86170351 89916888 112396110 124583640 149861480 172340702 224792220 258511053 344681404 430851755 449584440 517022106 689362808 861703510 1034044212 1292555265 1723407020 2068088424 2585110530 3446814040 5170221060 10340442120