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2010033020 = 2252347239389
BaseRepresentation
bin111011111001110…
…1010101101111100
312012002020020221102
41313303222231330
513104032024040
6531241552232
7100544666402
oct16763525574
95162206842
102010033020
1194167a616
124811a5678
1326057ac68
14150d4b472
15bb6e5515
hex77ceab7c

2010033020 has 96 divisors (see below), whose sum is σ = 4528742400. Its totient is φ = 747617024.

The previous prime is 2010033019. The next prime is 2010033037. The reversal of 2010033020 is 203300102.

It is a junction number, because it is equal to n+sod(n) for n = 2010032992 and 2010033010.

It is a congruent number.

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, 5166986 + ... + 5167374.

It is an arithmetic number, because the mean of its divisors is an integer number (47174400).

Almost surely, 22010033020 is an apocalyptic number.

2010033020 is a gapful number since it is divisible by the number (20) 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 2010033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264371200).

2010033020 is an abundant number, since it is smaller than the sum of its proper divisors (2518709380).

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

2010033020 is a wasteful number, since it uses less digits than its factorization.

2010033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2010033020 is about 44833.3917967401. The cubic root of 2010033020 is about 1262.0243389310.

Adding to 2010033020 its reverse (203300102), we get a palindrome (2213333122).

The spelling of 2010033020 in words is "two billion, ten million, thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 230 235 239 389 460 470 478 778 940 956 1081 1195 1556 1945 2162 2390 3890 4324 4780 5405 5497 7780 8947 10810 10994 11233 17894 18283 21620 21988 22466 27485 35788 36566 44735 44932 54970 56165 73132 89470 91415 92971 109940 112330 178940 182830 185942 224660 258359 365660 371884 420509 464855 516718 841018 929710 1033436 1291795 1682036 1859420 2102545 2138333 2583590 4205090 4276666 4369637 5167180 8410180 8553332 8739274 10691665 17478548 21383330 21848185 42766660 43696370 87392740 100501651 201003302 402006604 502508255 1005016510 2010033020