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201004101420 = 223512760143891
BaseRepresentation
bin1011101100110011000…
…1110010111100101100
3201012211022200022200220
42323030301302330230
511243124022221140
6232201235251340
720344032446253
oct2731461627454
9635738608626
10201004101420
1178277636491
1232b57a49b50
1315c54364125
149a2b5b979a
1553666b5bd0
hex2eccc72f2c

201004101420 has 96 divisors (see below), whose sum is σ = 568199847936. Its totient is φ = 53089344000.

The previous prime is 201004101379. The next prime is 201004101437. The reversal of 201004101420 is 24101400102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201004101420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4557675 + ... + 4601565.

It is an arithmetic number, because the mean of its divisors is an integer number (5918748416).

Almost surely, 2201004101420 is an apocalyptic number.

201004101420 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 201004101420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284099923968).

201004101420 is an abundant number, since it is smaller than the sum of its proper divisors (367195746516).

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

201004101420 is a wasteful number, since it uses less digits than its factorization.

201004101420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44631 (or 44629 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201004101420 its reverse (24101400102), we get a palindrome (225105501522).

The spelling of 201004101420 in words is "two hundred one billion, four million, one hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 601 635 762 1202 1270 1524 1803 1905 2404 2540 3005 3606 3810 6010 7212 7620 9015 12020 18030 36060 43891 76327 87782 131673 152654 175564 219455 228981 263346 305308 381635 438910 457962 526692 658365 763270 877820 915924 1144905 1316730 1526540 2289810 2633460 4579620 5574157 11148314 16722471 22296628 26378491 27870785 33444942 52756982 55741570 66889884 79135473 83612355 105513964 111483140 131892455 158270946 167224710 263784910 316541892 334449420 395677365 527569820 791354730 1582709460 3350068357 6700136714 10050205071 13400273428 16750341785 20100410142 33500683570 40200820284 50251025355 67001367140 100502050710 201004101420