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10341444300 = 22352118873533
BaseRepresentation
bin10011010000110010…
…11110101011001100
3222200201020210122120
421220121132223030
5132134402204200
64430101012540
7514161553245
oct115031365314
928621223576
1010341444300
114427526190
1220073b4150
13c8a669315
14701643ccc
15407d569a0
hex26865eacc

10341444300 has 144 divisors (see below), whose sum is σ = 32687407872. Its totient is φ = 2503481600.

The previous prime is 10341444293. The next prime is 10341444319. The reversal of 10341444300 is 344414301.

10341444300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 2925334 + ... + 2928866.

It is an arithmetic number, because the mean of its divisors is an integer number (226995888).

Almost surely, 210341444300 is an apocalyptic number.

10341444300 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 10341444300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16343703936).

10341444300 is an abundant number, since it is smaller than the sum of its proper divisors (22345963572).

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

10341444300 is a wasteful number, since it uses less digits than its factorization.

10341444300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10341444300 its reverse (344414301), we get a palindrome (10685858601).

The spelling of 10341444300 in words is "ten billion, three hundred forty-one million, four hundred forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 887 1100 1650 1774 2661 3300 3533 3548 4435 5322 7066 8870 9757 10599 10644 13305 14132 17665 17740 19514 21198 22175 26610 29271 35330 38863 39028 42396 44350 48785 52995 53220 58542 66525 70660 77726 88325 88700 97570 105990 116589 117084 133050 146355 155452 176650 194315 195140 211980 233178 243925 264975 266100 292710 353300 388630 466356 487850 529950 582945 585420 731775 777260 971575 975700 1059900 1165890 1463550 1943150 2331780 2914725 2927100 3133771 3886300 5829450 6267542 9401313 11658900 12535084 15668855 18802626 31337710 34471481 37605252 47006565 62675420 68942962 78344275 94013130 103414443 137885924 156688550 172357405 188026260 206828886 235032825 313377100 344714810 413657772 470065650 517072215 689429620 861787025 940131300 1034144430 1723574050 2068288860 2585361075 3447148100 5170722150 10341444300