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10421436300 = 223521111327947
BaseRepresentation
bin10011011010010101…
…00111111110001100
3222220021202211001020
421231022213332030
5132320341430200
64442035314140
7516152514132
oct115512477614
928807684036
1010421436300
1144686a1380
12202a14b950
13ca10c5b72
1470c107752
1540eda7ea0
hex26d2a7f8c

10421436300 has 144 divisors (see below), whose sum is σ = 33186125952. Its totient is φ = 2503961600.

The previous prime is 10421436283. The next prime is 10421436323. The reversal of 10421436300 is 363412401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358927 + ... + 386873.

It is an arithmetic number, because the mean of its divisors is an integer number (230459208).

Almost surely, 210421436300 is an apocalyptic number.

10421436300 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 10421436300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16593062976).

10421436300 is an abundant number, since it is smaller than the sum of its proper divisors (22764689652).

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

10421436300 is a wasteful number, since it uses less digits than its factorization.

10421436300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28088 (or 28081 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10421436300 its reverse (363412401), we get a palindrome (10784848701).

The spelling of 10421436300 in words is "ten billion, four hundred twenty-one million, four hundred thirty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 113 132 150 165 220 226 275 300 330 339 452 550 565 660 678 825 1100 1130 1243 1356 1650 1695 2260 2486 2825 3300 3390 3729 4972 5650 6215 6780 7458 8475 11300 12430 14916 16950 18645 24860 27947 31075 33900 37290 55894 62150 74580 83841 93225 111788 124300 139735 167682 186450 279470 307417 335364 372900 419205 558940 614834 698675 838410 922251 1229668 1397350 1537085 1676820 1844502 2096025 2794700 3074170 3158011 3689004 4192050 4611255 6148340 6316022 7685425 8384100 9222510 9474033 12632044 15370850 15790055 18445020 18948066 23056275 30741700 31580110 34738121 37896132 46112550 47370165 63160220 69476242 78950275 92225100 94740330 104214363 138952484 157900550 173690605 189480660 208428726 236850825 315801100 347381210 416857452 473701650 521071815 694762420 868453025 947403300 1042143630 1736906050 2084287260 2605359075 3473812100 5210718150 10421436300