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1033323323140 = 2251947149388301
BaseRepresentation
bin11110000100101101101…
…11101001111100000100
310122210012002010122011101
433002112313221330010
5113412221232320030
62110411400545444
7134440500216433
oct17022667517404
93583162118141
101033323323140
11369259093879
12148321a82284
137659901ab24
1438027dbd11a
151bd2beed7ca
hexf096de9f04

1033323323140 has 96 divisors (see below), whose sum is σ = 2348450496000. Its totient is φ = 380670681600.

The previous prime is 1033323323077. The next prime is 1033323323167. The reversal of 1033323323140 is 413233233301.

It is a junction number, because it is equal to n+sod(n) for n = 1033323323099 and 1033323323108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2466990 + ... + 2855290.

It is an arithmetic number, because the mean of its divisors is an integer number (24463026000).

Almost surely, 21033323323140 is an apocalyptic number.

1033323323140 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 1033323323140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174225248000).

1033323323140 is an abundant number, since it is smaller than the sum of its proper divisors (1315127172860).

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

1033323323140 is a wasteful number, since it uses less digits than its factorization.

1033323323140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388525 (or 388523 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 1033323323140 its reverse (413233233301), we get a palindrome (1446556556441).

The spelling of 1033323323140 in words is "one trillion, thirty-three billion, three hundred twenty-three million, three hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 149 188 190 235 298 380 470 596 745 893 940 1490 1786 2831 2980 3572 4465 5662 7003 8930 11324 14006 14155 17860 28012 28310 35015 56620 70030 133057 140060 266114 388301 532228 665285 776602 1330570 1553204 1941505 2661140 3883010 7377719 7766020 14755438 18250147 29510876 36500294 36888595 57856849 73000588 73777190 91250735 115713698 147554380 182501470 231427396 289284245 346752793 365002940 578568490 693505586 1099280131 1157136980 1387011172 1733763965 2198560262 2719271903 3467527930 4397120524 5438543806 5496400655 6935055860 10877087612 10992801310 13596359515 21985602620 27192719030 51666166157 54385438060 103332332314 206664664628 258330830785 516661661570 1033323323140