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1020220201 = 7111317167359
BaseRepresentation
bin111100110011110…
…101001100101001
32122002201120000101
4330303311030221
54042134021301
6245122505401
734165504630
oct7463651451
92562646011
101020220201
114839845a0
12245805261
131334998c0
14996d2517
155e877701
hex3ccf5329

1020220201 has 64 divisors (see below), whose sum is σ = 1463132160. Its totient is φ = 684610560.

The previous prime is 1020220171. The next prime is 1020220207.

1020220201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1020220201 - 25 = 1020220169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020220207) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2841660 + ... + 2842018.

It is an arithmetic number, because the mean of its divisors is an integer number (22861440).

Almost surely, 21020220201 is an apocalyptic number.

1020220201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020220201 is a deficient number, since it is larger than the sum of its proper divisors (442911959).

1020220201 is a wasteful number, since it uses less digits than its factorization.

1020220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1020220201 is about 31940.8860396827. The cubic root of 1020220201 is about 1006.6951420367.

It can be divided in two parts, 10202 and 20201, that multiplied together give a palindrome (206090602).

The spelling of 1020220201 in words is "one billion, twenty million, two hundred twenty thousand, two hundred one".

Divisors: 1 7 11 13 17 77 91 119 143 167 187 221 359 1001 1169 1309 1547 1837 2171 2431 2513 2839 3949 4667 6103 12859 15197 17017 19873 23881 27643 31229 32669 36907 42721 51337 59953 67133 79339 167167 218603 258349 359359 405977 419671 469931 555373 659483 779389 872729 1019201 2841839 4616381 5455723 6109103 7134407 8573279 11211211 13249613 60012953 78478477 92747291 145745743 1020220201