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20130021200 = 2452195944893
BaseRepresentation
bin10010101111110101…
…111011111101010000
31220221220012000210202
4102233311323331100
5312211241134300
613125252114332
71311561233312
oct225765737520
956856160722
1020130021200
11859a965963
123a996059a8
131b8a5ccc63
14d8d68d7b2
157cc3a0ad5
hex4afd7bf50

20130021200 has 120 divisors (see below), whose sum is σ = 51771760800. Its totient is φ = 7498759680.

The previous prime is 20130021187. The next prime is 20130021217. The reversal of 20130021200 is 212003102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425954 + ... + 470846.

It is an arithmetic number, because the mean of its divisors is an integer number (431431340).

Almost surely, 220130021200 is an apocalyptic number.

20130021200 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 20130021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25885880400).

20130021200 is an abundant number, since it is smaller than the sum of its proper divisors (31641739600).

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

20130021200 is a wasteful number, since it uses less digits than its factorization.

20130021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44989 (or 44978 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 20130021200 its reverse (212003102), we get a palindrome (20342024302).

The spelling of 20130021200 in words is "twenty billion, one hundred thirty million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 59 76 80 95 100 118 152 190 200 236 295 304 380 400 472 475 590 760 944 950 1121 1180 1475 1520 1900 2242 2360 2950 3800 4484 4720 5605 5900 7600 8968 11210 11800 17936 22420 23600 28025 44840 44893 56050 89680 89786 112100 179572 224200 224465 359144 448400 448930 718288 852967 897860 1122325 1705934 1795720 2244650 2648687 3411868 3591440 4264835 4489300 5297374 6823736 8529670 8978600 10594748 13243435 13647472 17059340 17957200 21189496 21324175 26486870 34118680 42378992 42648350 50325053 52973740 66217175 68237360 85296700 100650106 105947480 132434350 170593400 201300212 211894960 251625265 264868700 341186800 402600424 503250530 529737400 805200848 1006501060 1059474800 1258126325 2013002120 2516252650 4026004240 5032505300 10065010600 20130021200