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2030031120 = 2435131036317
BaseRepresentation
bin111100011111111…
…1101000100010000
312020110212021011210
41320333331010100
513124141443440
6533234340120
7101206660035
oct17077750420
95213767153
102030031120
11951999477
12487a2a640
13264760560
1415387538c
15bd345a80
hex78ffd110

2030031120 has 160 divisors (see below), whose sum is σ = 6844061952. Its totient is φ = 494770176.

The previous prime is 2030031061. The next prime is 2030031127. The reversal of 2030031120 is 211300302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2030031096 and 2030031105.

It is not an unprimeable number, because it can be changed into a prime (2030031127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318202 + ... + 324518.

Almost surely, 22030031120 is an apocalyptic number.

2030031120 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 2030031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422030976).

2030031120 is an abundant number, since it is smaller than the sum of its proper divisors (4814030832).

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

2030031120 is a wasteful number, since it uses less digits than its factorization.

2030031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6449 (or 6443 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2030031120 is about 45055.8666546322. The cubic root of 2030031120 is about 1266.1958872210.

Adding to 2030031120 its reverse (211300302), we get a palindrome (2241331422).

The spelling of 2030031120 in words is "two billion, thirty million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 103 104 120 130 156 195 206 208 240 260 309 312 390 412 515 520 618 624 780 824 1030 1040 1236 1339 1545 1560 1648 2060 2472 2678 3090 3120 4017 4120 4944 5356 6180 6317 6695 8034 8240 10712 12360 12634 13390 16068 18951 20085 21424 24720 25268 26780 31585 32136 37902 40170 50536 53560 63170 64272 75804 80340 82121 94755 101072 107120 126340 151608 160680 164242 189510 246363 252680 303216 321360 328484 379020 410605 492726 505360 650651 656968 758040 821210 985452 1231815 1301302 1313936 1516080 1642420 1951953 1970904 2463630 2602604 3253255 3284840 3903906 3941808 4927260 5205208 6506510 6569680 7807812 8458463 9759765 9854520 10410416 13013020 15615624 16916926 19519530 19709040 25375389 26026040 31231248 33833852 39039060 42292315 50750778 52052080 67667704 78078120 84584630 101501556 126876945 135335408 156156240 169169260 203003112 253753890 338338520 406006224 507507780 676677040 1015015560 2030031120