Search a number
-
+
10022012201201 = 7211131975278197
BaseRepresentation
bin1001000111010110111001…
…1110100010100011110001
31022111002120021001221012112
42101311232132202203301
52303200040110414301
633152014314535105
72053031543101100
oct221655636424361
938432507057175
1010022012201201
113214347683640
12115a3bb737495
135790c168cc50
142690d4768037
15125a676819bb
hex91d6e7a28f1

10022012201201 has 48 divisors (see below), whose sum is σ = 14417280480960. Its totient is φ = 6829237941120.

The previous prime is 10022012201197. The next prime is 10022012201209. The reversal of 10022012201201 is 10210221022001.

It is not a de Polignac number, because 10022012201201 - 22 = 10022012201197 is a prime.

It is a super-2 number, since 2×100220122012012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10022012201209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37505966 + ... + 37772231.

It is an arithmetic number, because the mean of its divisors is an integer number (300360010020).

Almost surely, 210022012201201 is an apocalyptic number.

10022012201201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022012201201 is a deficient number, since it is larger than the sum of its proper divisors (4395268279759).

10022012201201 is a wasteful number, since it uses less digits than its factorization.

10022012201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75278254 (or 75278247 counting only the distinct ones).

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

Adding to 10022012201201 its reverse (10210221022001), we get a palindrome (20232233223202).

The spelling of 10022012201201 in words is "ten trillion, twenty-two billion, twelve million, two hundred one thousand, two hundred one".

Divisors: 1 7 11 13 19 49 77 91 133 143 209 247 539 637 931 1001 1463 1729 2717 7007 10241 12103 19019 133133 75278197 526947379 828060167 978616561 1430285743 3688631653 5796421169 6850315927 10012000201 10764782171 15733143173 18593714659 40574948183 47952211489 70084001407 75353475197 110132002211 130156002613 204530861249 527474326379 770924015477 911092018291 1431716028743 10022012201201