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2030110200 = 2332522938891
BaseRepresentation
bin111100100000001…
…0000010111111000
312020111000021122200
41321000100113320
513124202011300
6533240150200
7101210436426
oct17100202770
95214007580
102030110200
11951a42928
12487a68360
1326478a551
14153896116
15bd35e200
hex790105f8

2030110200 has 144 divisors (see below), whose sum is σ = 7053064200. Its totient is φ = 522681600.

The previous prime is 2030110153. The next prime is 2030110207. The reversal of 2030110200 is 20110302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030110207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32755 + ... + 71645.

Almost surely, 22030110200 is an apocalyptic number.

2030110200 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 2030110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526532100).

2030110200 is an abundant number, since it is smaller than the sum of its proper divisors (5022954000).

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

2030110200 is a wasteful number, since it uses less digits than its factorization.

2030110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38942 (or 38930 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2030110200 is about 45056.7442232570. The cubic root of 2030110200 is about 1266.2123285897.

Adding to 2030110200 its reverse (20110302), we get a palindrome (2050220502).

The spelling of 2030110200 in words is "two billion, thirty million, one hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 29 30 36 40 45 50 58 60 72 75 87 90 100 116 120 145 150 174 180 200 225 232 261 290 300 348 360 435 450 522 580 600 696 725 870 900 1044 1160 1305 1450 1740 1800 2088 2175 2610 2900 3480 4350 5220 5800 6525 8700 10440 13050 17400 26100 38891 52200 77782 116673 155564 194455 233346 311128 350019 388910 466692 583365 700038 777820 933384 972275 1127839 1166730 1400076 1555640 1750095 1944550 2255678 2333460 2800152 2916825 3383517 3500190 3889100 4511356 4666920 5639195 5833650 6767034 7000380 7778200 8750475 9022712 10150551 11278390 11667300 13534068 14000760 16917585 17500950 20301102 22556780 23334600 27068136 28195975 33835170 35001900 40602204 45113560 50752755 56391950 67670340 70003800 81204408 84587925 101505510 112783900 135340680 169175850 203011020 225567800 253763775 338351700 406022040 507527550 676703400 1015055100 2030110200