Search a number
-
+
10010221222001 = 7111338991128219
BaseRepresentation
bin1001000110101010111110…
…1011100001100001110001
31022102222010112021010111012
42101222233223201201301
52303001413113101001
633142344313200305
72052133420322330
oct221525753414161
938388115233435
1010010221222001
11320a346a06430
12115806aa00095
13577c62920690
142686d67d9d17
151255c744d2bb
hex91aafae1871

10010221222001 has 64 divisors (see below), whose sum is σ = 13490117222400. Its totient is φ = 7173512236800.

The previous prime is 10010221221991. The next prime is 10010221222003. The reversal of 10010221222001 is 10022212201001.

10010221222001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10010221222001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010221222003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 354719270 + ... + 354747488.

It is an arithmetic number, because the mean of its divisors is an integer number (210783081600).

Almost surely, 210010221222001 is an apocalyptic number.

10010221222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010221222001 is a deficient number, since it is larger than the sum of its proper divisors (3479896000399).

10010221222001 is a wasteful number, since it uses less digits than its factorization.

10010221222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29550.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10010221222001 its reverse (10022212201001), we get a palindrome (20032433423002).

The spelling of 10010221222001 in words is "ten trillion, ten billion, two hundred twenty-one million, two hundred twenty-two thousand, one".

Divisors: 1 7 11 13 77 91 143 389 911 1001 2723 4279 5057 6377 10021 11843 28219 29953 35399 55627 70147 82901 130273 197533 310409 354379 366847 389389 911911 2172863 2480653 2567929 3898169 4035317 4606927 10977191 25707509 27287183 28247219 32248489 50676197 76840337 120749101 142703483 179952563 282782599 334197617 354733379 845243707 998924381 1569738313 1979478193 2339383319 3676173787 10000221001 10988168191 25733216509 70001547007 110002431011 130002873013 770017017077 910020111091 1430031603143 10010221222001