Search a number
-
+
2000030100 = 22352311091973
BaseRepresentation
bin111011100110110…
…0000100110010100
312011101102001111220
41313031200212110
513044001430400
6530243330340
7100363655355
oct16715404624
95141361456
102000030100
11936a68242
124799809b0
1325b487c83
1414d8a5d2c
15ba8bb7a0
hex77360994

2000030100 has 144 divisors (see below), whose sum is σ = 6031280640. Its totient is φ = 511142400.

The previous prime is 2000030083. The next prime is 2000030111. The reversal of 2000030100 is 10300002.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1012714 + ... + 1014686.

Almost surely, 22000030100 is an apocalyptic number.

2000030100 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 2000030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015640320).

2000030100 is an abundant number, since it is smaller than the sum of its proper divisors (4031250540).

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

2000030100 is a wasteful number, since it uses less digits than its factorization.

2000030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 2000030100 is about 44721.6960769602. The cubic root of 2000030100 is about 1259.9273704671.

Adding to 2000030100 its reverse (10300002), we get a palindrome (2010330102).

The spelling of 2000030100 in words is "two billion, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 109 124 150 155 186 218 300 310 327 372 436 465 545 620 654 775 930 1090 1308 1550 1635 1860 1973 2180 2325 2725 3100 3270 3379 3946 4650 5450 5919 6540 6758 7892 8175 9300 9865 10137 10900 11838 13516 16350 16895 19730 20274 23676 29595 32700 33790 39460 40548 49325 50685 59190 61163 67580 84475 98650 101370 118380 122326 147975 168950 183489 197300 202740 215057 244652 253425 295950 305815 337900 366978 430114 506850 591900 611630 645171 733956 860228 917445 1013700 1075285 1223260 1290342 1529075 1834890 2150570 2580684 3058150 3225855 3669780 4301140 4587225 5376425 6116300 6451710 6666767 9174450 10752850 12903420 13333534 16129275 18348900 20000301 21505700 26667068 32258550 33333835 40000602 64517100 66667670 80001204 100001505 133335340 166669175 200003010 333338350 400006020 500007525 666676700 1000015050 2000030100