Search a number
-
+
1201013030196 = 2232722333291833
BaseRepresentation
bin10001011110100001111…
…101000111110100110100
311020211000122220101011100
4101132201331013310310
5124134133313431241
62315423205210100
7152525136213600
oct21364175076464
94224018811140
101201013030196
1142338a5aa731
12174920a00930
1389341437a65
14421b4ca8500
1521393ae29b6
hex117a1f47d34

1201013030196 has 108 divisors (see below), whose sum is σ = 3533076063972. Its totient is φ = 342998320896.

The previous prime is 1201013030153. The next prime is 1201013030197. The reversal of 1201013030196 is 6910303101021.

It can be written as a sum of positive squares in 2 ways, for example, as 776665013796 + 424348016400 = 881286^2 + 651420^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201013030197) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3969496 + ... + 4261328.

It is an arithmetic number, because the mean of its divisors is an integer number (32713667259).

Almost surely, 21201013030196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201013030196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766538031986).

1201013030196 is an abundant number, since it is smaller than the sum of its proper divisors (2332063033776).

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

1201013030196 is a wasteful number, since it uses less digits than its factorization.

1201013030196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294190 (or 294178 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 1201013030196 in words is "one trillion, two hundred one billion, thirteen million, thirty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 2333 4666 6999 9332 13998 16331 20997 27996 32662 41994 48993 65324 83988 97986 114317 146979 195972 228634 291833 293958 342951 457268 583666 587916 685902 875499 1028853 1167332 1371804 1750998 2042831 2057706 2626497 3501996 4085662 4115412 5252994 6128493 8171324 10505988 12256986 14299817 18385479 24513972 28599634 36770958 42899451 57199268 73541916 85798902 128698353 171597804 257396706 514793412 680846389 1361692778 2042539167 2723385556 4085078334 4765924723 6127617501 8170156668 9531849446 12255235002 14297774169 19063698892 24510470004 28595548338 33361473061 42893322507 57191096676 66722946122 85786645014 100084419183 133445892244 171573290028 200168838366 300253257549 400337676732 600506515098 1201013030196