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2030013200 = 245219733659
BaseRepresentation
bin111100011111111…
…1000101100010000
312020110211100121002
41320333320230100
513124140410300
6533234121132
7101206553555
oct17077705420
95213740532
102030013200
11951986a66
12487a201a8
13264755357
1415386ca2c
15bd3405d5
hex78ff8b10

2030013200 has 120 divisors (see below), whose sum is σ = 5205544800. Its totient is φ = 758522880.

The previous prime is 2030013191. The next prime is 2030013203. The reversal of 2030013200 is 23100302.

It is not an unprimeable number, because it can be changed into a prime (2030013203) 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 23 ways as a sum of consecutive naturals, for example, 552971 + ... + 556629.

It is an arithmetic number, because the mean of its divisors is an integer number (43379540).

Almost surely, 22030013200 is an apocalyptic number.

2030013200 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 2030013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602772400).

2030013200 is an abundant number, since it is smaller than the sum of its proper divisors (3175531600).

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

2030013200 is a wasteful number, since it uses less digits than its factorization.

2030013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3758 counting only the distinct ones).

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

The square root of 2030013200 is about 45055.6677899684. The cubic root of 2030013200 is about 1266.1921614494.

Adding to 2030013200 its reverse (23100302), we get a palindrome (2053113502).

The spelling of 2030013200 in words is "two billion, thirty million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 73 76 80 95 100 146 152 190 200 292 304 365 380 400 475 584 730 760 950 1168 1387 1460 1520 1825 1900 2774 2920 3650 3659 3800 5548 5840 6935 7300 7318 7600 11096 13870 14600 14636 18295 22192 27740 29200 29272 34675 36590 55480 58544 69350 69521 73180 91475 110960 138700 139042 146360 182950 267107 277400 278084 292720 347605 365900 534214 554800 556168 695210 731800 1068428 1112336 1335535 1390420 1463600 1738025 2136856 2671070 2780840 3476050 4273712 5075033 5342140 5561680 6677675 6952100 10150066 10684280 13355350 13904200 20300132 21368560 25375165 26710700 27808400 40600264 50750330 53421400 81200528 101500660 106842800 126875825 203001320 253751650 406002640 507503300 1015006600 2030013200