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2031035020 = 2257192572971
BaseRepresentation
bin111100100001111…
…0010001010001100
312020112202021021021
41321003302022030
513124421110040
6533312043524
7101221340620
oct17103621214
95215667237
102031035020
11952514743
124882335a4
13264a22491
14153a57180
15bd49324a
hex790f228c

2031035020 has 96 divisors (see below), whose sum is σ = 5152734720. Its totient is φ = 656916480.

The previous prime is 2031035003. The next prime is 2031035021. The reversal of 2031035020 is 205301302.

It is a junction number, because it is equal to n+sod(n) for n = 2031034985 and 2031035003.

It is not an unprimeable number, because it can be changed into a prime (2031035021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682135 + ... + 685105.

It is an arithmetic number, because the mean of its divisors is an integer number (53674320).

Almost surely, 22031035020 is an apocalyptic number.

2031035020 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 2031035020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576367360).

2031035020 is an abundant number, since it is smaller than the sum of its proper divisors (3121699700).

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

2031035020 is a wasteful number, since it uses less digits than its factorization.

2031035020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 2031035020 is about 45067.0058912282. The cubic root of 2031035020 is about 1266.4045744279.

Adding to 2031035020 its reverse (205301302), we get a palindrome (2236336322).

The spelling of 2031035020 in words is "two billion, thirty-one million, thirty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 257 266 380 514 532 665 1028 1285 1330 1799 2570 2660 2971 3598 4883 5140 5942 7196 8995 9766 11884 14855 17990 19532 20797 24415 29710 34181 35980 41594 48830 56449 59420 68362 83188 97660 103985 112898 136724 170905 207970 225796 282245 341810 395143 415940 564490 683620 763547 790286 1128980 1527094 1580572 1975715 3054188 3817735 3951430 5344829 7635470 7902860 10689658 14507393 15270940 21379316 26724145 29014786 53448290 58029572 72536965 101551751 106896580 145073930 203103502 290147860 406207004 507758755 1015517510 2031035020