Search a number
-
+
10001002202202 = 2311219725025533
BaseRepresentation
bin1001000110001000101000…
…1011110000010001011010
31022102002100001001101210110
42101202022023300101122
52302324023030432302
633134221425425150
72051356105046514
oct221421213602132
938362301041713
1010001002202202
113206446021400
12115631749b1b6
13577123986b8b
142680a0290bb4
15125237e0bb6c
hex9188a2f045a

10001002202202 has 48 divisors (see below), whose sum is σ = 23142815045280. Its totient is φ = 2871101106720.

The previous prime is 10001002202197. The next prime is 10001002202231. The reversal of 10001002202202 is 20220220010001.

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 23 ways as a sum of consecutive naturals, for example, 362498973 + ... + 362526560.

It is an arithmetic number, because the mean of its divisors is an integer number (482141980110).

Almost surely, 210001002202202 is an apocalyptic number.

10001002202202 is an abundant number, since it is smaller than the sum of its proper divisors (13141812843078).

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

10001002202202 is a wasteful number, since it uses less digits than its factorization.

10001002202202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725025579 (or 725025568 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10001002202202 its reverse (20220220010001), we get a palindrome (30221222212203).

The spelling of 10001002202202 in words is "ten trillion, one billion, two million, two hundred two thousand, two hundred two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 418 627 726 1254 2299 4598 6897 13794 725025533 1450051066 2175076599 4350153198 7975280863 13775485127 15950561726 23925842589 27550970254 41326455381 47851685178 82652910762 87728089493 151530336397 175456178986 263184268479 303060672794 454591009191 526368536958 909182018382 1666833700367 3333667400734 5000501101101 10001002202202