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221232441030100 = 22522937550595257
BaseRepresentation
bin110010010011010110110001…
…000011110111010111010100
31002000022121121012022202100221
4302103112301003313113110
5212444133014400430400
62102304440320044124
764412342061263233
oct6223266103672724
91060277535282327
10221232441030100
1164545173497555
12209903b4a63644
13965a18bb759c6
143c8b9c8ab4b1a
151a89b6bbb7c1a
hexc935b10f75d4

221232441030100 has 36 divisors (see below), whose sum is σ = 481712876269884. Its totient is φ = 88190952590080.

The previous prime is 221232441030059. The next prime is 221232441030101. The reversal of 221232441030100 is 1030144232122.

It can be written as a sum of positive squares in 6 ways, for example, as 5302758883984 + 215929682146116 = 2302772^2 + 14694546^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221232441030101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3775268329 + ... + 3775326928.

It is an arithmetic number, because the mean of its divisors is an integer number (13380913229719).

Almost surely, 2221232441030100 is an apocalyptic number.

221232441030100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221232441030100 is an abundant number, since it is smaller than the sum of its proper divisors (260480435239784).

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

221232441030100 is a wasteful number, since it uses less digits than its factorization.

221232441030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7550595564 (or 7550595557 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 221232441030100 its reverse (1030144232122), we get a palindrome (222262585262222).

The spelling of 221232441030100 in words is "two hundred twenty-one trillion, two hundred thirty-two billion, four hundred forty-one million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 293 586 1172 1465 2930 5860 7325 14650 29300 7550595257 15101190514 30202381028 37752976285 75505952570 151011905140 188764881425 377529762850 755059525700 2212324410301 4424648820602 8849297641204 11061622051505 22123244103010 44246488206020 55308110257525 110616220515050 221232441030100