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20031013300 = 22521741594871
BaseRepresentation
bin10010101001111100…
…010000000110110100
31220200222212220111111
4102221330100012310
5312010414411200
613111354044404
71306246542454
oct225174200664
956628786444
1020031013300
118549a91851
123a70419704
131b72c45bbc
14d80479d64
157c38450ba
hex4a9f101b4

20031013300 has 144 divisors (see below), whose sum is σ = 47955680640. Its totient is φ = 7230976000.

The previous prime is 20031013279. The next prime is 20031013309. The reversal of 20031013300 is 331013002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20031013309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4109865 + ... + 4114735.

It is an arithmetic number, because the mean of its divisors is an integer number (333025560).

Almost surely, 220031013300 is an apocalyptic number.

20031013300 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 20031013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23977840320).

20031013300 is an abundant number, since it is smaller than the sum of its proper divisors (27924667340).

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

20031013300 is a wasteful number, since it uses less digits than its factorization.

20031013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002 (or 4995 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 20031013300 its reverse (331013002), we get a palindrome (20362026302).

The spelling of 20031013300 in words is "twenty billion, thirty-one million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 41 50 59 68 82 85 100 118 164 170 205 236 295 340 410 425 590 697 820 850 1003 1025 1180 1394 1475 1700 2006 2050 2419 2788 2950 3485 4012 4100 4838 4871 5015 5900 6970 9676 9742 10030 12095 13940 17425 19484 20060 24190 24355 25075 34850 41123 48380 48710 50150 60475 69700 82246 82807 97420 100300 120950 121775 164492 165614 199711 205615 241900 243550 287389 331228 399422 411230 414035 487100 574778 798844 822460 828070 998555 1028075 1149556 1436945 1656140 1997110 2056150 2070175 2873890 3395087 3994220 4112300 4140350 4885613 4992775 5747780 6790174 7184725 8280700 9771226 9985550 11782949 13580348 14369450 16975435 19542452 19971100 23565898 24428065 28738900 33950870 47131796 48856130 58914745 67901740 84877175 97712260 117829490 122140325 169754350 200310133 235658980 244280650 294573725 339508700 400620266 488561300 589147450 801240532 1001550665 1178294900 2003101330 4006202660 5007753325 10015506650 20031013300