Search a number
-
+
10201200984 = 2332132838363
BaseRepresentation
bin10011000000000100…
…11111100101011000
3222022221100200222200
421200002133211120
5131343001412414
64404131050200
7510536530512
oct114002374530
928287320880
1010201200984
114365348317
121b88440960
13c675a5300
146cab78bb2
153ea8a3109
hex26009f958

10201200984 has 72 divisors (see below), whose sum is σ = 29917019340. Its totient is φ = 3138827328.

The previous prime is 10201200943. The next prime is 10201201007. The reversal of 10201200984 is 48900210201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 407014 + ... + 431349.

Almost surely, 210201200984 is an apocalyptic number.

It is an amenable number.

10201200984 is an abundant number, since it is smaller than the sum of its proper divisors (19715818356).

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

10201200984 is a wasteful number, since it uses less digits than its factorization.

10201200984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838401 (or 838381 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 10201200984 in words is "ten billion, two hundred one million, two hundred thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 838363 1676726 2515089 3353452 5030178 6706904 7545267 10060356 10898719 15090534 20120712 21797438 30181068 32696157 43594876 60362136 65392314 87189752 98088471 130784628 141683347 196176942 261569256 283366694 392353884 425050041 566733388 784707768 850100082 1133466776 1275150123 1700200164 2550300246 3400400328 5100600492 10201200984