Search a number
-
+
1001221202202 = 2313412143146093
BaseRepresentation
bin11101001000111010110…
…11110010000100011010
310112201022211022220222020
432210131123302010122
5112401000111432302
62043542113035310
7132223123541214
oct16443533620432
93481284286866
101001221202202
113566852a3211
12142062b55b36
13735512a46b0
14366606d55b4
151b09da8debc
hexe91d6f211a

1001221202202 has 64 divisors (see below), whose sum is σ = 2210119382016. Its totient is φ = 300411901440.

The previous prime is 1001221202171. The next prime is 1001221202207. The reversal of 1001221202202 is 2022021221001.

1001221202202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1001221202207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6780268 + ... + 6926360.

It is an arithmetic number, because the mean of its divisors is an integer number (34533115344).

Almost surely, 21001221202202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001221202202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105059691008).

1001221202202 is an abundant number, since it is smaller than the sum of its proper divisors (1208898179814).

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

1001221202202 is a wasteful number, since it uses less digits than its factorization.

1001221202202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148295.

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

Adding to 1001221202202 its reverse (2022021221001), we get a palindrome (3023242423203).

The spelling of 1001221202202 in words is "one trillion, one billion, two hundred twenty-one million, two hundred two thousand, two hundred two".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 246 533 1066 1599 2143 3198 4286 6429 12858 27859 55718 83577 87863 146093 167154 175726 263589 292186 438279 527178 876558 1142219 1899209 2284438 3426657 3798418 5697627 5989813 6853314 11395254 11979626 17969439 35938878 77867569 155735138 233602707 313077299 467205414 626154598 939231897 1878463794 4070004887 8140009774 12210014661 12836169259 24420029322 25672338518 38508507777 77017015554 166870200367 333740400734 500610601101 1001221202202