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201031004420 = 225191319714159
BaseRepresentation
bin1011101100111001100…
…0011011000100000100
3201012220012022010200022
42323032120123010010
511243202414120140
6232204040034312
720344510225541
oct2731630330404
9635805263608
10201031004420
1178290841074
1232b64a62998
1315c59ac356c
149a30dbdbc8
155368c2c0b5
hex2ece61b104

201031004420 has 96 divisors (see below), whose sum is σ = 448345497600. Its totient is φ = 75502627200.

The previous prime is 201031004359. The next prime is 201031004453. The reversal of 201031004420 is 24400130102.

It is a super-2 number, since 2×2010310044202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 48334301 + ... + 48338459.

It is an arithmetic number, because the mean of its divisors is an integer number (4670265600).

Almost surely, 2201031004420 is an apocalyptic number.

201031004420 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 201031004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224172748800).

201031004420 is an abundant number, since it is smaller than the sum of its proper divisors (247314493180).

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

201031004420 is a wasteful number, since it uses less digits than its factorization.

201031004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5289 (or 5287 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 201031004420 its reverse (24400130102), we get a palindrome (225431134522).

The spelling of 201031004420 in words is "two hundred one billion, thirty-one million, four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 131 190 262 380 524 655 971 1310 1942 2489 2620 3884 4159 4855 4978 8318 9710 9956 12445 16636 18449 19420 20795 24890 36898 41590 49780 73796 79021 83180 92245 127201 158042 184490 254402 316084 368980 395105 508804 544829 636005 790210 1089658 1272010 1580420 2179316 2416819 2544020 2724145 4038389 4833638 5448290 8076778 9667276 10351751 10896580 12084095 16153556 20191945 20703502 24168190 40383890 41407004 48336380 51758755 76729391 80767780 103517510 153458782 207035020 306917564 383646955 529028959 767293910 1058057918 1534587820 2116115836 2645144795 5290289590 10051550221 10580579180 20103100442 40206200884 50257751105 100515502210 201031004420