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1020033323220 = 2235191319678367
BaseRepresentation
bin11101101011111101011…
…10010101000011010100
310121111212212122200121010
432311332232111003110
5113203012012320340
62100332530052220
7133460243122122
oct16657656250324
93544785580533
101020033323220
1136365924516a
1214583311a070
137525b83cc52
1437526d24912
151b8003b5b80
hexed7eb950d4

1020033323220 has 96 divisors (see below), whose sum is σ = 3008697753600. Its totient is φ = 257496879744.

The previous prime is 1020033323207. The next prime is 1020033323233. The reversal of 1020033323220 is 223233300201.

It is an interprime number because it is at equal distance from previous prime (1020033323207) and next prime (1020033323233).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1164477 + ... + 1842843.

It is an arithmetic number, because the mean of its divisors is an integer number (31340601600).

Almost surely, 21020033323220 is an apocalyptic number.

1020033323220 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 1020033323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504348876800).

1020033323220 is an abundant number, since it is smaller than the sum of its proper divisors (1988664430380).

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

1020033323220 is a wasteful number, since it uses less digits than its factorization.

1020033323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679717 (or 679715 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 1020033323220 its reverse (223233300201), we get a palindrome (1243266623421).

The spelling of 1020033323220 in words is "one trillion, twenty billion, thirty-three million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1319 2638 3957 5276 6595 7914 13190 15828 19785 25061 26380 39570 50122 75183 79140 100244 125305 150366 250610 300732 375915 501220 678367 751830 1356734 1503660 2035101 2713468 3391835 4070202 6783670 8140404 10175505 12888973 13567340 20351010 25777946 38666919 40702020 51555892 64444865 77333838 128889730 154667676 193334595 257779460 386669190 773338380 894766073 1789532146 2684298219 3579064292 4473830365 5368596438 8947660730 10737192876 13421491095 17000555387 17895321460 26842982190 34001110774 51001666161 53685964380 68002221548 85002776935 102003332322 170005553870 204006664644 255008330805 340011107740 510016661610 1020033323220